From 7d14d9213e5c55786486ce45ec52f5b2a3e46322 Mon Sep 17 00:00:00 2001
From: Yair Fosado <yair.fosado@ed.ac.uk>
Date: Sun, 15 Oct 2023 09:31:29 +0100
Subject: [PATCH] Upload New File

---
 Notebooks/fhLMFT.nb | 1200 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 1200 insertions(+)
 create mode 100644 Notebooks/fhLMFT.nb

diff --git a/Notebooks/fhLMFT.nb b/Notebooks/fhLMFT.nb
new file mode 100644
index 0000000..d8777bf
--- /dev/null
+++ b/Notebooks/fhLMFT.nb
@@ -0,0 +1,1200 @@
+(* Content-type: application/vnd.wolfram.mathematica *)
+
+(*** Wolfram Notebook File ***)
+(* http://www.wolfram.com/nb *)
+
+(* CreatedBy='Mathematica 13.0' *)
+
+(*CacheID: 234*)
+(* Internal cache information:
+NotebookFileLineBreakTest
+NotebookFileLineBreakTest
+NotebookDataPosition[       158,          7]
+NotebookDataLength[     52421,       1192]
+NotebookOptionsPosition[     51895,       1174]
+NotebookOutlinePosition[     52332,       1191]
+CellTagsIndexPosition[     52289,       1188]
+WindowFrame->Normal*)
+
+(* Beginning of Notebook Content *)
+Notebook[{
+
+Cell[CellGroupData[{
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"(*", 
+   RowBox[{
+    RowBox[{
+     RowBox[{
+      RowBox[{
+       RowBox[{
+        RowBox[{
+         RowBox[{
+          RowBox[{
+           RowBox[{
+            RowBox[{
+            "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", 
+             "**"}], "*", "**"}], "**"}], "**"}], "**"}], "**"}], "**"}], 
+      "**"}], "**"}], "**"}], "******)"}], "\[IndentingNewLine]", 
+  RowBox[{"(*", 
+   RowBox[{
+   "ANALYSIS", " ", "FOR", " ", "TWO", " ", "POLYMER", " ", "SPECIES", " ", 
+    "AND", " ", "NO", " ", "SOLVENT"}], "*)"}], "\[IndentingNewLine]", 
+  RowBox[{"(*", 
+   RowBox[{
+    RowBox[{
+     RowBox[{
+      RowBox[{
+       RowBox[{
+        RowBox[{
+         RowBox[{
+          RowBox[{
+           RowBox[{
+            RowBox[{
+            "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", 
+             "**"}], "*", "**"}], "**"}], "**"}], "**"}], "**"}], "**"}], 
+      "**"}], "**"}], "**"}], "******)"}], "\[IndentingNewLine]", 
+  RowBox[{
+   RowBox[{
+    RowBox[{
+     RowBox[{"fmix", "[", 
+      RowBox[{"\[CapitalPhi]_", ",", "\[Chi]_", ",", "M_"}], "]"}], ":=", 
+     RowBox[{
+      RowBox[{
+       FractionBox["\[CapitalPhi]", "M"], "*", 
+       RowBox[{"Log", "[", "\[CapitalPhi]", "]"}]}], "+", 
+      RowBox[{
+       FractionBox[
+        RowBox[{"(", 
+         RowBox[{"1", "-", "\[CapitalPhi]"}], ")"}], "M"], "*", 
+       RowBox[{"Log", "[", 
+        RowBox[{"1", "-", "\[CapitalPhi]"}], "]"}]}], "+", 
+      RowBox[{"\[Chi]", "*", "\[CapitalPhi]", "*", 
+       RowBox[{"(", 
+        RowBox[{"1", "-", "\[CapitalPhi]"}], ")"}]}]}]}], ";"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+    "find", " ", "local", " ", "minima", " ", "and", " ", "maximum", " ", 
+     "of", " ", "the", " ", "free", " ", "energy"}], "*)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{
+     SubscriptBox["\[PartialD]", "\[CapitalPhi]"], " ", 
+     RowBox[{"(", 
+      RowBox[{"fmix", "[", 
+       RowBox[{"\[CapitalPhi]", ",", "\[Chi]", ",", "M"}], "]"}], ")"}]}], 
+    ";"}], "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+     RowBox[{
+      RowBox[{"We", " ", "now", " ", "that", " ", "for", " ", "\[Chi]"}], "<", 
+      SubscriptBox["\[Chi]", "c"]}], ",", " ", 
+     RowBox[{
+      RowBox[{
+      "there", " ", "is", " ", "always", " ", "a", " ", "minimum", " ", 
+       "located", " ", "at", " ", "\[CapitalPhi]min"}], "=", 
+      RowBox[{"0.5", ".", " ", "However"}]}], ",", " ", 
+     RowBox[{
+      RowBox[{"above", " ", 
+       SubscriptBox["\[Chi]", "c"]}], "=", 
+      RowBox[{
+       RowBox[{"2", "/", "M"}], " ", "more", " ", "minima", " ", 
+       "develop"}]}]}], "*)"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{
+     RowBox[{"der", "[", 
+      RowBox[{"\[CapitalPhi]_", ",", "\[Chi]_", ",", "M_"}], "]"}], "=", 
+     RowBox[{
+      RowBox[{
+       FractionBox["1", "M"], "*", 
+       RowBox[{"Log", "[", 
+        FractionBox["\[CapitalPhi]", 
+         RowBox[{"1", "-", "\[CapitalPhi]"}]], "]"}]}], "+", 
+      RowBox[{"\[Chi]", "*", 
+       RowBox[{"(", 
+        RowBox[{"1", "-", 
+         RowBox[{"2", "*", "\[CapitalPhi]"}]}], ")"}]}]}]}], ";"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+     RowBox[{
+      RowBox[{
+      "Below", " ", "we", " ", "find", " ", "the", " ", "minimum", " ", "of", 
+       " ", "fmix", " ", "for", " ", "a", " ", "given", " ", "value", " ", 
+       "of", " ", "M"}], "=", "M1"}], ",", " ", 
+     RowBox[{"and", " ", "changing", " ", "\[Chi]", " ", 
+      RowBox[{"in", " ", "[", 
+       RowBox[{"0", ",", "3"}], "]"}], " ", "every", " ", "0.1"}]}], "*)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"M1", "=", "1"}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"\[Chi]lo", "=", "0.0"}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"\[Chi]hi", "=", "5.0"}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"delta\[Chi]", "=", "0.05"}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"Ndata", "=", 
+     RowBox[{
+      RowBox[{"Floor", "[", 
+       RowBox[{"(", 
+        RowBox[{
+         RowBox[{"(", 
+          RowBox[{"\[Chi]hi", "-", "\[Chi]lo"}], ")"}], "/", "delta\[Chi]"}], 
+        ")"}], "]"}], "+", "1"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{
+     SubscriptBox["\[Chi]", "c"], "=", 
+     RowBox[{"2", "/", "M1"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{"Initialize", " ", "lists"}], "*)"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"\[CapitalPhi]min1", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"\[CapitalPhi]min2", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"\[CapitalPhi]min3", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"listNsol", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"fullList\[CapitalPhi]min1", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"fullList\[CapitalPhi]min2", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"fullListFmin", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"fullList\[Chi]", "=", 
+     RowBox[{"{", "}"}]}], ";"}], "\[IndentingNewLine]", 
+   "\[IndentingNewLine]", 
+   RowBox[{"For", "[", 
+    RowBox[{
+     RowBox[{"n", "=", "0"}], ",", 
+     RowBox[{"n", "<", "Ndata"}], ",", 
+     RowBox[{"n", "++"}], ",", "\[IndentingNewLine]", 
+     RowBox[{"(*", 
+      RowBox[{
+      "The", " ", "value", " ", "of", " ", "\[Chi]", " ", "at", " ", "which", 
+       " ", "we", " ", "will", " ", "find", " ", "the", " ", "minima"}], 
+      "*)"}], "\[IndentingNewLine]", 
+     RowBox[{
+      RowBox[{"\[Chi]1", "=", 
+       RowBox[{"\[Chi]lo", "+", 
+        RowBox[{"n", "*", "delta\[Chi]"}]}]}], ";", "\[IndentingNewLine]", 
+      RowBox[{"(*", 
+       RowBox[{
+        RowBox[{
+         RowBox[{"We", " ", "will", " ", "solve", " ", "der"}], "==", 
+         RowBox[{
+         "0", " ", "in", " ", "the", " ", "interval", " ", "\[CapitalPhi]", 
+          " ", 
+          RowBox[{
+           RowBox[{"in", " ", "[", 
+            RowBox[{"0", ",", "1"}], "]"}], ".", " ", "To"}], " ", "do", " ", 
+          "that"}]}], ",", 
+        RowBox[{
+        "ask", " ", "Plot", " ", "to", " ", "plot", " ", "the", " ", 
+         "derivative"}], ",", 
+        RowBox[{
+        "then", " ", "extract", " ", "the", " ", "list", " ", "of", " ", 
+         "data", " ", 
+         RowBox[{"points", ":"}]}]}], "*)"}], "\[IndentingNewLine]", 
+      RowBox[{
+       RowBox[{"(", 
+        RowBox[{"points", "=", 
+         RowBox[{
+          RowBox[{"Cases", "[", 
+           RowBox[{
+            RowBox[{"Normal", "[", 
+             RowBox[{"Plot", "[", 
+              RowBox[{
+               RowBox[{"der", "[", 
+                RowBox[{"\[CapitalPhi]", ",", "\[Chi]1", ",", "M1"}], "]"}], 
+               ",", 
+               RowBox[{"{", 
+                RowBox[{"\[CapitalPhi]", ",", "0", ",", "1"}], "}"}]}], "]"}],
+              "]"}], ",", 
+            RowBox[{
+             RowBox[{"Line", "[", "l_", "]"}], ":>", "l"}], ",", "Infinity"}],
+            "]"}], "//", "First"}]}], ")"}], "//", "Shallow"}], ";", 
+      "\[IndentingNewLine]", 
+      RowBox[{"(*", 
+       RowBox[{
+       "Now", " ", "we", " ", "find", " ", "which", " ", "of", " ", "these", 
+        " ", "points", " ", "change", " ", "the", " ", "sign", " ", "of", " ",
+         "der"}], "*)"}], "\[IndentingNewLine]", 
+      RowBox[{"signChanges", "=", 
+       RowBox[{
+        RowBox[{"Position", "[", 
+         RowBox[{
+          RowBox[{
+           RowBox[{
+            RowBox[{"Times", "@@", "##"}], "&"}], "/@", 
+           RowBox[{"Partition", "[", 
+            RowBox[{
+             RowBox[{"points", "[", 
+              RowBox[{"[", 
+               RowBox[{"All", ",", "2"}], "]"}], "]"}], ",", "2", ",", "1"}], 
+            "]"}]}], ",", 
+          RowBox[{"x_", "/;", 
+           RowBox[{"x", "<", "0"}]}]}], "]"}], "//", "Flatten"}]}], ";", 
+      "\[IndentingNewLine]", 
+      RowBox[{"(*", 
+       RowBox[{"Now", " ", "use", " ", "find", " ", "root"}], "*)"}], 
+      "\[IndentingNewLine]", 
+      RowBox[{"\[CapitalPhi]min", "=", 
+       RowBox[{
+        RowBox[{
+         RowBox[{"\[CapitalPhi]", "/.", 
+          RowBox[{"FindRoot", "[", 
+           RowBox[{
+            RowBox[{
+             RowBox[{"der", "[", 
+              RowBox[{"\[CapitalPhi]", ",", "\[Chi]1", ",", "M1"}], "]"}], "==",
+              "0"}], ",", 
+            RowBox[{"{", 
+             RowBox[{"\[CapitalPhi]", ",", 
+              RowBox[{"points", "[", 
+               RowBox[{"[", 
+                RowBox[{"#", ",", "1"}], "]"}], "]"}], ",", 
+              RowBox[{"points", "[", 
+               RowBox[{"[", 
+                RowBox[{
+                 RowBox[{"#", "+", "1"}], ",", "1"}], "]"}], "]"}]}], "}"}]}],
+            "]"}]}], "&"}], "/@", "signChanges"}]}], ";", 
+      "\[IndentingNewLine]", 
+      RowBox[{"{", 
+       RowBox[{
+        RowBox[{"{", 
+         RowBox[{"\[CapitalPhi]", "->", "0."}], "}"}], ",", 
+        RowBox[{"{", 
+         RowBox[{"\[CapitalPhi]", "->", "1."}], "}"}]}], "}"}], ";", 
+      "\[IndentingNewLine]", "\[IndentingNewLine]", 
+      RowBox[{"AppendTo", "[", 
+       RowBox[{"fullList\[CapitalPhi]min1", ",", 
+        RowBox[{"\[CapitalPhi]min", "[", 
+         RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ";", "\[IndentingNewLine]", 
+      
+      RowBox[{"AppendTo", "[", 
+       RowBox[{"fullList\[CapitalPhi]min2", ",", 
+        RowBox[{"1", "-", 
+         RowBox[{"\[CapitalPhi]min", "[", 
+          RowBox[{"[", "1", "]"}], "]"}]}]}], "]"}], ";", 
+      "\[IndentingNewLine]", 
+      RowBox[{"AppendTo", "[", 
+       RowBox[{"fullListFmin", ",", 
+        RowBox[{"fmix", "[", 
+         RowBox[{
+          RowBox[{"\[CapitalPhi]min", "[", 
+           RowBox[{"[", "1", "]"}], "]"}], ",", "\[Chi]1", ",", "M1"}], 
+         "]"}]}], "]"}], ";", "\[IndentingNewLine]", 
+      RowBox[{"AppendTo", "[", 
+       RowBox[{"fullList\[Chi]", ",", "\[Chi]1"}], "]"}], ";", 
+      "\[IndentingNewLine]", "\[IndentingNewLine]", 
+      RowBox[{"(*", 
+       RowBox[{"Above", " ", 
+        SubscriptBox["\[Chi]", "c"], " ", "find", " ", "the", " ", "minima", 
+        " ", "and", " ", "maximum"}], "*)"}], "\[IndentingNewLine]", 
+      RowBox[{"If", "[", 
+       RowBox[{
+        RowBox[{"\[Chi]1", ">", 
+         RowBox[{"2", "/", "M1"}]}], ",", "\[IndentingNewLine]", 
+        RowBox[{"(*", 
+         RowBox[{"number", " ", "of", " ", "solutions", " ", "found"}], 
+         "*)"}], "\[IndentingNewLine]", 
+        RowBox[{
+         RowBox[{"Nsol", "=", 
+          RowBox[{"Length", "[", "\[CapitalPhi]min", "]"}]}], ";", 
+         "\[IndentingNewLine]", 
+         RowBox[{"AppendTo", "[", 
+          RowBox[{"listNsol", ",", "Nsol"}], "]"}], ";", 
+         "\[IndentingNewLine]", 
+         RowBox[{"AppendTo", "[", 
+          RowBox[{"\[CapitalPhi]min1", ",", 
+           RowBox[{"\[CapitalPhi]min", "[", 
+            RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ";", 
+         "\[IndentingNewLine]", 
+         RowBox[{"AppendTo", "[", 
+          RowBox[{"\[CapitalPhi]min2", ",", 
+           RowBox[{"\[CapitalPhi]min", "[", 
+            RowBox[{"[", "2", "]"}], "]"}]}], "]"}], ";", 
+         "\[IndentingNewLine]", 
+         RowBox[{"AppendTo", "[", 
+          RowBox[{"\[CapitalPhi]min3", ",", 
+           RowBox[{"\[CapitalPhi]min", "[", 
+            RowBox[{"[", "3", "]"}], "]"}]}], "]"}], ";"}], 
+        "\[IndentingNewLine]", ",", "\[IndentingNewLine]", 
+        RowBox[{"Continue", "[", "]"}]}], "]"}]}]}], 
+    RowBox[{"(*", 
+     RowBox[{
+     "Close", " ", "if", " ", "statement", " ", "on", " ", "\[Chi]1"}], 
+     "*)"}], "\[IndentingNewLine]", "]"}], 
+   RowBox[{"(*", 
+    RowBox[{"close", " ", "for", " ", "loop"}], "*)"}], "\[IndentingNewLine]",
+    "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+    "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**",
+      "**", "**", "**", "**", "**", "**", "**"}], "******)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+    "Plot", " ", "the", " ", "values", " ", "of", " ", "\[CapitalPhi]min", 
+     " ", "as", " ", "function", " ", "of", " ", "\[Chi]"}], "*)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+    "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**",
+      "**", "**", "**", "**", "**", "**", "**"}], "******)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"data1", "=", 
+     RowBox[{"Transpose", "@", 
+      RowBox[{"{", 
+       RowBox[{"fullList\[Chi]", ",", "fullList\[CapitalPhi]min1"}], 
+       "}"}]}]}], ";"}], "\n", 
+   RowBox[{
+    RowBox[{"data2", "=", 
+     RowBox[{"Transpose", "@", 
+      RowBox[{"{", 
+       RowBox[{"fullList\[Chi]", ",", "fullList\[CapitalPhi]min2"}], 
+       "}"}]}]}], ";"}], "\[IndentingNewLine]", "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+    "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**",
+      "**", "**", "**"}], "*****)"}], "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+    "Plot", " ", "the", " ", "values", " ", "of", " ", "\[Chi]", " ", "as", 
+     " ", "function", " ", "\[CapitalPhi]min"}], "*)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{
+    "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**", "**",
+      "**", "**", "**"}], "*****)"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{
+     RowBox[{"\[Chi]binodal", "[", 
+      RowBox[{"\[CapitalPhi]_", ",", "M_"}], "]"}], ":=", 
+     RowBox[{
+      FractionBox["1", 
+       RowBox[{"M", "*", 
+        RowBox[{"(", 
+         RowBox[{
+          RowBox[{"2", "*", "\[CapitalPhi]"}], "-", "1"}], ")"}]}]], "*", 
+      RowBox[{"Log", "[", 
+       FractionBox["\[CapitalPhi]", 
+        RowBox[{"1", "-", "\[CapitalPhi]"}]], "]"}]}]}], ";"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"Plot", "[", 
+     RowBox[{
+      RowBox[{"\[Chi]binodal", "[", 
+       RowBox[{"\[CapitalPhi]", ",", "M1"}], "]"}], ",", 
+      RowBox[{"{", 
+       RowBox[{"\[CapitalPhi]", ",", "0", ",", "1.0"}], "}"}]}], "]"}], ";"}],
+    "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{
+     SubscriptBox["\[PartialD]", "\[CapitalPhi]"], " ", 
+     RowBox[{"(", 
+      RowBox[{"\[Chi]binodal", "[", 
+       RowBox[{"\[CapitalPhi]", ",", "M"}], "]"}], ")"}]}], ";"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"Limit", "[", 
+     RowBox[{
+      RowBox[{"\[Chi]binodal", "[", 
+       RowBox[{"\[CapitalPhi]", ",", "M1"}], "]"}], ",", 
+      RowBox[{"x", "->", "0.5"}]}], "]"}], ";"}], "\[IndentingNewLine]", 
+   "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{"**", "**", "**", "**", "**", "**"}], "****)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{"Merge", " ", "all", " ", "plots"}], "*)"}], 
+   "\[IndentingNewLine]", 
+   RowBox[{"(*", 
+    RowBox[{"**", "**", "**", "**", "**", "**"}], "****)"}], 
+   "\[IndentingNewLine]", "\[IndentingNewLine]", 
+   RowBox[{"Manipulate", "[", 
+    RowBox[{
+     RowBox[{"Row", "[", 
+      RowBox[{"{", 
+       RowBox[{
+        RowBox[{"Plot", "[", 
+         RowBox[{
+          RowBox[{"fmix", "[", 
+           RowBox[{"\[CapitalPhi]", ",", "\[Chi]", ",", "M1"}], "]"}], ",", 
+          RowBox[{"{", 
+           RowBox[{"\[CapitalPhi]", ",", "0", ",", "1.0"}], "}"}], ",", 
+          RowBox[{"PlotStyle", "\[Rule]", "Blue"}], ",", " ", 
+          RowBox[{"AxesLabel", "\[Rule]", 
+           RowBox[{"{", 
+            RowBox[{
+            "\"\<\[CapitalPhi]\>\"", ",", 
+             "\"\<\!\(\*SubscriptBox[\(F\), \(mix\)]\)\>\""}], "}"}]}], ",", 
+          RowBox[{"PlotRange", "\[Rule]", 
+           RowBox[{"{", 
+            RowBox[{"Automatic", ",", 
+             RowBox[{"{", 
+              RowBox[{
+               RowBox[{"-", "0.71"}], ",", "0.57"}], "}"}]}], "}"}]}], ",", 
+          RowBox[{"PlotLegends", "->", 
+           RowBox[{"Placed", "[", 
+            RowBox[{
+             RowBox[{"{", 
+              RowBox[{"If", "[", 
+               RowBox[{
+                RowBox[{"\[Chi]", "<", 
+                 RowBox[{"2", "/", "M1"}]}], ",", " ", 
+                "\"\<\[Chi]<\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\"", ",", 
+                RowBox[{"If", "[", 
+                 RowBox[{
+                  RowBox[{"\[Chi]", "==", 
+                   RowBox[{"2", "/", "M1"}]}], ",", 
+                  "\"\<\[Chi]=\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\"", 
+                  ",", " ", 
+                  "\"\<\[Chi]>\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\""}], 
+                 "]"}]}], "]"}], "}"}], ",", 
+             RowBox[{"{", 
+              RowBox[{"0.9", ",", "0.9"}], "}"}]}], "]"}]}], ",", 
+          RowBox[{"Epilog", "->", 
+           RowBox[{"{", 
+            RowBox[{
+             RowBox[{"PointSize", "[", "Large", "]"}], ",", "Red", ",", 
+             RowBox[{"If", "[", 
+              RowBox[{
+               RowBox[{"\[Chi]", "<=", 
+                RowBox[{"2", "/", "M1"}]}], ",", 
+               RowBox[{"Point", "[", 
+                RowBox[{"{", 
+                 RowBox[{"0.5", ",", 
+                  RowBox[{"fmix", "[", 
+                   RowBox[{"0.5", ",", "\[Chi]", ",", "M1"}], "]"}]}], "}"}], 
+                "]"}], ",", 
+               RowBox[{"If", "[", 
+                RowBox[{
+                 RowBox[{"\[Chi]", ">", 
+                  RowBox[{"2", "/", "M1"}]}], ",", 
+                 RowBox[{"{", 
+                  RowBox[{
+                   RowBox[{"Point", "[", 
+                    RowBox[{"{", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min1", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", 
+                    RowBox[{"fmix", "[", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min1", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", "\[Chi]", ",", "M1"}], "]"}]}], 
+                    "}"}], "]"}], ",", 
+                   RowBox[{"Point", "[", 
+                    RowBox[{"{", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min3", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", 
+                    RowBox[{"fmix", "[", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min3", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", "\[Chi]", ",", "M1"}], "]"}]}], 
+                    "}"}], "]"}]}], "}"}]}], "  ", "]"}]}], "]"}], ",", 
+             RowBox[{"If", "[", 
+              RowBox[{
+               RowBox[{"\[Chi]", "<=", 
+                RowBox[{"2", "/", "M1"}]}], ",", 
+               RowBox[{"{", 
+                RowBox[{"Text", "[", 
+                 RowBox[{
+                  RowBox[{"Style", "[", 
+                   RowBox[{
+                   "\"\<\!\(\*SuperscriptBox[\(\[CapitalPhi]\), \(*\)]\)\>\"",
+                     ",", "Red"}], "]"}], ",", 
+                  RowBox[{"{", 
+                   RowBox[{"0.5", ",", 
+                    RowBox[{"-", "0.05"}]}], "}"}]}], "]"}], " ", "}"}], ",", 
+               " ", 
+               RowBox[{"If", "[", 
+                RowBox[{
+                 RowBox[{"\[Chi]", ">", 
+                  RowBox[{"2", "/", "M1"}]}], ",", 
+                 RowBox[{"{", 
+                  RowBox[{
+                   RowBox[{"Text", "[", 
+                    RowBox[{
+                    RowBox[{"Style", "[", 
+                    RowBox[{
+                    "\"\<\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \
+\(1\)], \(*\)]\)\>\"", ",", "Red"}], "]"}], ",", 
+                    RowBox[{"{", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min1", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", 
+                    RowBox[{"-", "0.05"}]}], "}"}]}], "]"}], ",", 
+                   RowBox[{"Text", "[", 
+                    RowBox[{
+                    RowBox[{"Style", "[", 
+                    RowBox[{
+                    "\"\<\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \
+\(2\)], \(*\)]\)\>\"", ",", "Red"}], "]"}], ",", 
+                    RowBox[{"{", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min3", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", 
+                    RowBox[{"-", "0.05"}]}], "}"}]}], "]"}]}], "}"}]}], " ", 
+                "]"}]}], "]"}]}], "\[IndentingNewLine]", "}"}]}], ",", 
+          RowBox[{"ImageSize", "\[Rule]", "400"}]}], "]"}], " ", ",", 
+        "\"\<     \>\"", ",", 
+        RowBox[{"ListPlot", "[", 
+         RowBox[{
+          RowBox[{"{", 
+           RowBox[{"data1", ",", "data2"}], "}"}], ",", 
+          RowBox[{"PlotStyle", "\[Rule]", "Black"}], ",", " ", 
+          RowBox[{"AxesLabel", "\[Rule]", 
+           RowBox[{"{", 
+            RowBox[{
+            "\"\<\[Chi]\>\"", ",", 
+             "\"\<\!\(\*SuperscriptBox[\(\[CapitalPhi]\), \(*\)]\)\>\""}], 
+            "}"}]}], ",", 
+          RowBox[{"PlotRange", "\[Rule]", 
+           RowBox[{"{", 
+            RowBox[{"Automatic", ",", 
+             RowBox[{"{", 
+              RowBox[{
+               RowBox[{"-", "0.05"}], ",", "1.05"}], "}"}]}], "}"}]}], ",", 
+          RowBox[{"PlotLegends", "->", 
+           RowBox[{"Placed", "[", 
+            RowBox[{
+             RowBox[{"{", 
+              RowBox[{
+               RowBox[{"If", "[", 
+                RowBox[{
+                 RowBox[{"\[Chi]", "<", 
+                  RowBox[{"2", "/", "M1"}]}], ",", " ", 
+                 "\"\<\[Chi]<\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\"", 
+                 ",", 
+                 RowBox[{"If", "[", 
+                  RowBox[{
+                   RowBox[{"\[Chi]", "==", 
+                    RowBox[{"2", "/", "M1"}]}], ",", 
+                   "\"\<\[Chi]=\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\"", 
+                   ",", "\"\<\[Chi]>\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\
+\""}], "]"}]}], "]"}], ",", 
+               RowBox[{"If", "[", 
+                RowBox[{
+                 RowBox[{"\[Chi]", "<=", 
+                  RowBox[{"2", "/", "M1"}]}], ",", 
+                 "\"\<\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \
+\(1\)], \(*\)]\)=0.5\\n\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \
+\(2\)], \(*\)]\)=0.5\>\"", ",", 
+                 RowBox[{
+                 "\"\<\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \
+\(1\)], \(*\)]\)=\>\"", "<>", 
+                  RowBox[{"ToString", "@", 
+                   RowBox[{"SetPrecision", "[", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min1", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", "2"}], "]"}]}], "<>", 
+                  "\"\<\\n\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\),\
+ \(2\)], \(*\)]\)=\>\"", "<>", 
+                  RowBox[{"ToString", "@", 
+                   RowBox[{"SetPrecision", "[", 
+                    RowBox[{
+                    RowBox[{"\[CapitalPhi]min3", "[", 
+                    RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "-", 
+                    FractionBox["2", "M1"]}], ")"}], "/", "delta\[Chi]"}], 
+                    "]"}], "]"}], "]"}], ",", "4"}], "]"}]}], "<>", 
+                  "\"\<\>\""}]}], "]"}]}], "}"}], ",", 
+             RowBox[{"{", 
+              RowBox[{"0.15", ",", "0.8"}], "}"}]}], "]"}]}], ",", 
+          RowBox[{"Epilog", "->", 
+           RowBox[{"{", 
+            RowBox[{
+             RowBox[{"PointSize", "[", "Large", "]"}], ",", "Red", ",", 
+             RowBox[{"{", 
+              RowBox[{
+               RowBox[{"Point", "[", 
+                RowBox[{"{", 
+                 RowBox[{
+                  RowBox[{"fullList\[Chi]", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}], ",", 
+                  RowBox[{"fullList\[CapitalPhi]min1", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}]}], "}"}], "]"}], ",", 
+               RowBox[{"Point", "[", 
+                RowBox[{"{", 
+                 RowBox[{
+                  RowBox[{"fullList\[Chi]", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}], ",", 
+                  RowBox[{"fullList\[CapitalPhi]min2", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}]}], "}"}], "]"}]}], " ", "}"}]}], 
+            "}"}]}], ",", 
+          RowBox[{"ImageSize", "->", "400"}]}], "]"}], ",", "\"\<    \>\"", 
+        ",", 
+        RowBox[{"Plot", "[", 
+         RowBox[{
+          RowBox[{"\[Chi]binodal", "[", 
+           RowBox[{"\[CapitalPhi]", ",", "M1"}], "]"}], ",", 
+          RowBox[{"{", 
+           RowBox[{"\[CapitalPhi]", ",", "0", ",", "1.0"}], "}"}], ",", 
+          RowBox[{"PlotStyle", "\[Rule]", "Black"}], ",", " ", 
+          RowBox[{"AxesLabel", "\[Rule]", 
+           RowBox[{"{", 
+            RowBox[{
+            "\"\<\!\(\*SuperscriptBox[\(\[CapitalPhi]\), \(*\)]\)\>\"", ",", 
+             "\"\<\[Chi]\>\""}], "}"}]}], ",", 
+          RowBox[{"PlotRange", "\[Rule]", 
+           RowBox[{"{", 
+            RowBox[{
+             RowBox[{"{", 
+              RowBox[{
+               RowBox[{"-", "0.05"}], ",", "1.05"}], "}"}], ",", 
+             RowBox[{"{", 
+              RowBox[{
+               RowBox[{"-", "0.1"}], ",", 
+               RowBox[{"\[Chi]hi", "+", "0.05"}]}], "}"}]}], "}"}]}], ",", 
+          RowBox[{"PlotLegends", "->", 
+           RowBox[{"Placed", "[", 
+            RowBox[{
+             RowBox[{"{", 
+              RowBox[{"If", "[", 
+               RowBox[{
+                RowBox[{"\[Chi]", "<", 
+                 RowBox[{"2", "/", "M1"}]}], ",", " ", 
+                "\"\<\[Chi]<\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\"", ",", 
+                RowBox[{"If", "[", 
+                 RowBox[{
+                  RowBox[{"\[Chi]", "==", 
+                   RowBox[{"2", "/", "M1"}]}], ",", 
+                  "\"\<\[Chi]=\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\"", 
+                  ",", " ", 
+                  "\"\<\[Chi]>\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)\>\""}], 
+                 "]"}]}], "]"}], "}"}], ",", 
+             RowBox[{"{", 
+              RowBox[{"0.5", ",", "0.9"}], "}"}]}], "]"}]}], ",", 
+          RowBox[{"Epilog", "->", 
+           RowBox[{"{", 
+            RowBox[{
+             RowBox[{"PointSize", "[", "Large", "]"}], ",", "Red", ",", 
+             RowBox[{"{", 
+              RowBox[{
+               RowBox[{"Point", "[", 
+                RowBox[{"{", 
+                 RowBox[{
+                  RowBox[{"fullList\[CapitalPhi]min1", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}], ",", 
+                  RowBox[{"fullList\[Chi]", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}]}], "}"}], "]"}], ",", 
+               RowBox[{"Point", "[", 
+                RowBox[{"{", 
+                 RowBox[{
+                  RowBox[{"fullList\[CapitalPhi]min2", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}], ",", 
+                  RowBox[{"fullList\[Chi]", "[", 
+                   RowBox[{"[", 
+                    RowBox[{"Round", "[", 
+                    RowBox[{
+                    RowBox[{"(", 
+                    RowBox[{"\[Chi]", "/", "delta\[Chi]"}], ")"}], "+", "1"}],
+                     "]"}], "]"}], "]"}]}], "}"}], "]"}]}], " ", "}"}]}], 
+            "}"}]}], ",", 
+          RowBox[{"ImageSize", "->", "400"}]}], "]"}]}], 
+       "\[IndentingNewLine]", "}"}], "]"}], ",", 
+     RowBox[{"{", 
+      RowBox[{
+      "\[Chi]", ",", "\[Chi]lo", ",", "\[Chi]hi", ",", "delta\[Chi]", ",", 
+       RowBox[{"Appearance", "->", "\"\<Labeled\>\""}]}], "}"}], ",", 
+     RowBox[{"SaveDefinitions", "\[Rule]", "True"}]}], "]"}], 
+   "\[IndentingNewLine]", "\[IndentingNewLine]"}]}]], "Input",
+ CellChangeTimes->{{3.905953446829336*^9, 3.905953492125682*^9}, {
+   3.9059565843625603`*^9, 3.905956585652594*^9}, {3.905958734391288*^9, 
+   3.9059587652377853`*^9}, {3.905958815678087*^9, 3.905958897740513*^9}, {
+   3.905958929934346*^9, 3.905958942215672*^9}, {3.905958983211403*^9, 
+   3.905958989100917*^9}, 3.905970817605957*^9, 3.906008275263885*^9, {
+   3.906185709523773*^9, 3.9061859379602222`*^9}, {3.906186013052332*^9, 
+   3.906186014192399*^9}, {3.9061860651259403`*^9, 3.906186314734708*^9}, {
+   3.9061864679879093`*^9, 3.906186469545937*^9}, {3.906186520020146*^9, 
+   3.906186523397768*^9}, {3.906186624892364*^9, 3.906186659071211*^9}, {
+   3.906186715929151*^9, 3.906186839377307*^9}, {3.9061869001825333`*^9, 
+   3.906186913981937*^9}, {3.906187057092443*^9, 3.906187444506194*^9}, {
+   3.906187968429184*^9, 3.906187986498597*^9}, {3.906189150233098*^9, 
+   3.9061891507997913`*^9}, {3.906191972901394*^9, 3.90619217777065*^9}, {
+   3.906192234535191*^9, 3.906192245882135*^9}, {3.906192282955419*^9, 
+   3.9061923907181168`*^9}, {3.9061924247654247`*^9, 
+   3.9061924301124077`*^9}, {3.90619255628575*^9, 3.906192562752557*^9}, {
+   3.9061926976438923`*^9, 3.906192707781095*^9}, {3.90619273841507*^9, 
+   3.906192793193458*^9}, {3.90619289192037*^9, 3.906193007366138*^9}, {
+   3.906193157959475*^9, 3.906193199355279*^9}, {3.906193252022624*^9, 
+   3.9061933095631447`*^9}, {3.906193345309771*^9, 3.906193386248043*^9}, {
+   3.906193422158856*^9, 3.906193447834227*^9}, {3.9061934828694143`*^9, 
+   3.906193512125957*^9}, {3.906193550870611*^9, 3.906193619320952*^9}, {
+   3.906194760665752*^9, 3.9061950056828623`*^9}, {3.906195061852645*^9, 
+   3.9061952375640373`*^9}, {3.906195271121324*^9, 3.9061952726558104`*^9}, {
+   3.906195320935075*^9, 3.906195349846089*^9}, {3.90619538752774*^9, 
+   3.906195431747758*^9}, {3.9061956221278954`*^9, 3.906195657691861*^9}, {
+   3.906195694287621*^9, 3.906195717274535*^9}, {3.906195750594314*^9, 
+   3.906195910726684*^9}, {3.906195984383193*^9, 3.906196054006936*^9}, {
+   3.906196103292314*^9, 3.906196148773584*^9}, {3.906196236312628*^9, 
+   3.9061962870400667`*^9}, {3.906196344362204*^9, 3.906196371610655*^9}, {
+   3.9061967073557367`*^9, 3.906196755785902*^9}, {3.906196810261244*^9, 
+   3.906196851540406*^9}, {3.906197247135024*^9, 3.906197320278891*^9}, {
+   3.906197369961841*^9, 3.906197373199267*^9}, {3.9061974496224747`*^9, 
+   3.9061974557970533`*^9}, {3.906197496724215*^9, 3.906197567619028*^9}, {
+   3.9061976895323267`*^9, 3.906197718988682*^9}, {3.906197759996933*^9, 
+   3.906197841393283*^9}, {3.9061979263434877`*^9, 3.9061979873695707`*^9}, {
+   3.906198020047338*^9, 3.90619802186659*^9}, {3.906198066715631*^9, 
+   3.906198094341017*^9}, {3.906198141310308*^9, 3.90619817160544*^9}, {
+   3.906198244562826*^9, 3.90619825042142*^9}, {3.906198281177109*^9, 
+   3.906198300289432*^9}, {3.90619837789198*^9, 3.906198422525544*^9}, {
+   3.906198497978826*^9, 3.906198498329142*^9}, {3.9061986008503313`*^9, 
+   3.906198669710833*^9}, {3.906198796518795*^9, 3.906198904104203*^9}, {
+   3.906199265626696*^9, 3.906199371046061*^9}, {3.9061994040209503`*^9, 
+   3.9061994727403812`*^9}, 3.90619957360422*^9, {3.906199628433597*^9, 
+   3.906199730597781*^9}, {3.9061998670677757`*^9, 3.906199889280673*^9}, {
+   3.906199938170035*^9, 3.9061999517432413`*^9}, {3.906201951374099*^9, 
+   3.906201951714698*^9}, {3.906202326409339*^9, 3.906202414491892*^9}, {
+   3.906202453586145*^9, 3.906202609460306*^9}, {3.9062026661628027`*^9, 
+   3.9062026737128468`*^9}, 3.9062084158027678`*^9, {3.906209293147564*^9, 
+   3.90620929390555*^9}, 3.90620977065466*^9, {3.906211219133668*^9, 
+   3.906211229647726*^9}, {3.906211267877417*^9, 3.90621127967336*^9}, {
+   3.906213645758916*^9, 3.906213646078842*^9}, {3.906213717222803*^9, 
+   3.906213719562325*^9}, {3.9062137700123177`*^9, 3.906213770232682*^9}, {
+   3.9062138890405493`*^9, 3.906213951744598*^9}, {3.9062139970542927`*^9, 
+   3.906213997275508*^9}, {3.906214066575585*^9, 3.90621406941665*^9}, {
+   3.9062141052473507`*^9, 3.9062141283889437`*^9}, {3.906214159141612*^9, 
+   3.906214191919896*^9}, {3.90621426039881*^9, 3.906214260542759*^9}, {
+   3.906214336934362*^9, 3.9062143589742603`*^9}, {3.906214389827056*^9, 
+   3.9062143908259277`*^9}},
+ CellLabel->
+  "In[320]:=",ExpressionUUID->"cef6a996-4bad-4901-8d11-377a6ad0b7cd"],
+
+Cell[BoxData[
+ TagBox[
+  StyleBox[
+   DynamicModuleBox[{$CellContext`\[Chi]$$ = 0., Typeset`show$$ = True, 
+    Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", 
+    Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = 
+    "\"untitled\"", Typeset`specs$$ = {{
+      Hold[$CellContext`\[Chi]$$], 0., 5., 0.05}}, Typeset`size$$ = {
+    1270., {130., 135.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
+    Typeset`skipInitDone$$ = False}, 
+    DynamicBox[Manipulate`ManipulateBoxes[
+     1, StandardForm, "Variables" :> {$CellContext`\[Chi]$$ = 0.}, 
+      "ControllerVariables" :> {}, 
+      "OtherVariables" :> {
+       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
+        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
+        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
+         Typeset`skipInitDone$$}, "Body" :> Row[{
+         Plot[
+          $CellContext`fmix[$CellContext`\[CapitalPhi], \
+$CellContext`\[Chi]$$, $CellContext`M1], {$CellContext`\[CapitalPhi], 0, 1.}, 
+          PlotStyle -> Blue, 
+          AxesLabel -> {
+           "\[CapitalPhi]", "\!\(\*SubscriptBox[\(F\), \(mix\)]\)"}, 
+          PlotRange -> {Automatic, {-0.71, 0.57}}, PlotLegends -> Placed[{
+             
+             If[$CellContext`\[Chi]$$ < 2/$CellContext`M1, 
+              "\[Chi]<\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)", 
+              
+              If[$CellContext`\[Chi]$$ == 2/$CellContext`M1, 
+               "\[Chi]=\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)", 
+               "\[Chi]>\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)"]]}, {0.9, 
+            0.9}], Epilog -> {
+            PointSize[Large], Red, 
+            If[$CellContext`\[Chi]$$ <= 2/$CellContext`M1, 
+             Point[{0.5, 
+               $CellContext`fmix[
+               0.5, $CellContext`\[Chi]$$, $CellContext`M1]}], 
+             If[$CellContext`\[Chi]$$ > 2/$CellContext`M1, {
+               Point[{
+                 Part[$CellContext`\[CapitalPhi]min1, 
+                  
+                  Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], 
+                 $CellContext`fmix[
+                  Part[$CellContext`\[CapitalPhi]min1, 
+                   
+                   Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], \
+$CellContext`\[Chi]$$, $CellContext`M1]}], 
+               Point[{
+                 Part[$CellContext`\[CapitalPhi]min3, 
+                  
+                  Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], 
+                 $CellContext`fmix[
+                  Part[$CellContext`\[CapitalPhi]min3, 
+                   
+                   Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], \
+$CellContext`\[Chi]$$, $CellContext`M1]}]}]], 
+            If[$CellContext`\[Chi]$$ <= 2/$CellContext`M1, {
+              Text[
+               Style[
+               "\!\(\*SuperscriptBox[\(\[CapitalPhi]\), \(*\)]\)", Red], {
+               0.5, -0.05}]}, 
+             If[$CellContext`\[Chi]$$ > 2/$CellContext`M1, {
+               Text[
+                Style[
+                "\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \(1\)], \
+\(*\)]\)", Red], {
+                 Part[$CellContext`\[CapitalPhi]min1, 
+                  
+                  Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], -0.05}], 
+               Text[
+                Style[
+                "\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \(2\)], \
+\(*\)]\)", Red], {
+                 Part[$CellContext`\[CapitalPhi]min3, 
+                  
+                  Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], \
+-0.05}]}]]}, ImageSize -> 400], "     ", 
+         ListPlot[{$CellContext`data1, $CellContext`data2}, PlotStyle -> 
+          Black, AxesLabel -> {
+           "\[Chi]", "\!\(\*SuperscriptBox[\(\[CapitalPhi]\), \(*\)]\)"}, 
+          PlotRange -> {Automatic, {-0.05, 1.05}}, PlotLegends -> Placed[{
+             
+             If[$CellContext`\[Chi]$$ < 2/$CellContext`M1, 
+              "\[Chi]<\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)", 
+              
+              If[$CellContext`\[Chi]$$ == 2/$CellContext`M1, 
+               "\[Chi]=\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)", 
+               "\[Chi]>\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)"]], 
+             
+             If[$CellContext`\[Chi]$$ <= 2/$CellContext`M1, 
+              "\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \(1\)], \
+\(*\)]\)=0.5\n\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \(2\)], \
+\(*\)]\)=0.5", 
+              "\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \(1\)], \
+\(*\)]\)=" <> ToString[
+                SetPrecision[
+                 Part[$CellContext`\[CapitalPhi]min1, 
+                  
+                  Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], 2]] <> 
+              "\n\!\(\*SuperscriptBox[SubscriptBox[\(\[CapitalPhi]\), \(2\)], \
+\(*\)]\)=" <> ToString[
+                SetPrecision[
+                 Part[$CellContext`\[CapitalPhi]min3, 
+                  
+                  Round[($CellContext`\[Chi]$$ - 
+                    2/$CellContext`M1)/$CellContext`delta\[Chi]]], 4]] <> 
+              ""]}, {0.15, 0.8}], Epilog -> {
+            PointSize[Large], Red, {
+             Point[{
+               Part[$CellContext`fullList\[Chi], 
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 1]], 
+               Part[$CellContext`fullList\[CapitalPhi]min1, 
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 1]]}], 
+             
+             Point[{
+               Part[$CellContext`fullList\[Chi], 
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 1]], 
+               Part[$CellContext`fullList\[CapitalPhi]min2, 
+                
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 
+                 1]]}]}}, ImageSize -> 400], "    ", 
+         Plot[
+          $CellContext`\[Chi]binodal[$CellContext`\[CapitalPhi], \
+$CellContext`M1], {$CellContext`\[CapitalPhi], 0, 1.}, PlotStyle -> Black, 
+          AxesLabel -> {
+           "\!\(\*SuperscriptBox[\(\[CapitalPhi]\), \(*\)]\)", "\[Chi]"}, 
+          PlotRange -> {{-0.05, 1.05}, {-0.1, $CellContext`\[Chi]hi + 0.05}}, 
+          PlotLegends -> Placed[{
+             If[$CellContext`\[Chi]$$ < 2/$CellContext`M1, 
+              "\[Chi]<\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)", 
+              
+              If[$CellContext`\[Chi]$$ == 2/$CellContext`M1, 
+               "\[Chi]=\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)", 
+               "\[Chi]>\!\(\*SubscriptBox[\(\[Chi]\), \(c\)]\)"]]}, {0.5, 
+            0.9}], Epilog -> {
+            PointSize[Large], Red, {
+             Point[{
+               Part[$CellContext`fullList\[CapitalPhi]min1, 
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 1]], 
+               Part[$CellContext`fullList\[Chi], 
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 1]]}], 
+             
+             Point[{
+               Part[$CellContext`fullList\[CapitalPhi]min2, 
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 1]], 
+               Part[$CellContext`fullList\[Chi], 
+                
+                Round[$CellContext`\[Chi]$$/$CellContext`delta\[Chi] + 
+                 1]]}]}}, ImageSize -> 400]}], 
+      "Specifications" :> {{$CellContext`\[Chi]$$, 0., 5., 0.05, Appearance -> 
+         "Labeled"}}, "Options" :> {}, "DefaultOptions" :> {}],
+     ImageSizeCache->{1314., {175., 181.}},
+     SingleEvaluation->True],
+    Deinitialization:>None,
+    DynamicModuleValues:>{},
+    Initialization:>({$CellContext`fmix[
+         Pattern[$CellContext`\[CapitalPhi], 
+          Blank[]], 
+         Pattern[$CellContext`\[Chi], 
+          Blank[]], 
+         Pattern[$CellContext`M, 
+          Blank[]]] := ($CellContext`\[CapitalPhi]/$CellContext`M) 
+         Log[$CellContext`\[CapitalPhi]] + ((
+           1 - $CellContext`\[CapitalPhi])/$CellContext`M) 
+         Log[1 - $CellContext`\[CapitalPhi]] + $CellContext`\[Chi] \
+$CellContext`\[CapitalPhi] (
+          1 - $CellContext`\[CapitalPhi]), $CellContext`\[CapitalPhi][
+         Pattern[$CellContext`m, 
+          Blank[]], 
+         Pattern[$CellContext`h, 
+          Blank[]], 
+         Pattern[$CellContext`T, 
+          Blank[]]] := ($CellContext`r[$CellContext`T] $CellContext`m^2)/
+         2 + $CellContext`u $CellContext`m^4 - $CellContext`h $CellContext`m, \
+$CellContext`r[
+         Pattern[$CellContext`T, 
+          
+          Blank[]]] := $CellContext`a ($CellContext`T - $CellContext`Tc), \
+$CellContext`a = 1., $CellContext`Tc = 1., $CellContext`u = 
+       0.1, $CellContext`M1 = 
+       1, $CellContext`\[CapitalPhi]min1 = CompressedData["
+1:eJwB7QES/iFib1JlAQAAADwAAAAZve09xG3XP5qERbstI9Q/0jJSVw7G0T8r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+        "], $CellContext`delta\[Chi] = 
+       0.05, $CellContext`\[CapitalPhi]min3 = CompressedData["
+1:eJwB7QES/iFib1JlAQAAADwAAAB6IQnhHUnkP8Q9XSJp7uU/meZW1Pgc5z+w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+        "], $CellContext`data1 = CompressedData["
+1:eJxd0g1MzHEYB/BzL3W934uh2JSGpSUl79U9pFdl9CLlZpOSiONmLNXktbw0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+        "], $CellContext`data2 = CompressedData["
+1:eJxd0nss1XEUAPDret0X7sMWhbp0W6ZpYsuS3UOtdtMIwxZGFo2htZhRovrr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+        
+        "], $CellContext`fullList\[Chi] = CompressedData["
+1:eJxF0ElKA1EUBdBK3yfVuAHXEOdVa3AJQnToenQHLsGxI0FBEATBgaKIokjU
+qFFjQ/kPeCef/+55n6KW1zZXJ5UoiibRf7a3yuzk4dzNV8Zl9tz386COzI/z
+jfUyJ/rT/PCgzBl3bn7BX+qv7F1zN9wtd8fdcw/c1HzKP+qf7D1zM27GvXCv
+3Bs35+bcO/fBfXILbsF9cd/cDxcVYR4VwUfFXz2uFGGvUgRW5apctQjv1Lga
+V+fqXJ1rcA2uyTW5JtfiWlyba3NtrsN1uC7X5bpcj+txfa7P9bkBN+CG3JAb
+ciNuxMX+V8zH+thezCVcwiVcwiVcyqVcyqVcymW+J+MyLuMybqn4BacAMF4=
+
+        "], $CellContext`fullList\[CapitalPhi]min1 = CompressedData["
+1:eJxTTMoPSmVkYGBIZYCBB/ajNHn0l+UrZrIAacm9b22P5F63n9XiultX+Yr9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+        
+        "], $CellContext`fullList\[CapitalPhi]min2 = CompressedData["
+1:eJztxc9L03EcB+CVRZvzUE1IS61pi8QwjCBpyUstimVoKio0h2tkMHGLyCFa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+        
+        "], $CellContext`\[Chi]binodal[
+         Pattern[$CellContext`\[CapitalPhi], 
+          Blank[]], 
+         Pattern[$CellContext`M, 
+          Blank[]]] := (1/($CellContext`M (2 $CellContext`\[CapitalPhi] - 1)))
+          Log[$CellContext`\[CapitalPhi]/(
+          1 - $CellContext`\[CapitalPhi])], $CellContext`\[Chi]hi = 5.}; 
+     Typeset`initDone$$ = True),
+    SynchronousInitialization->True,
+    UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$},
+    UnsavedVariables:>{Typeset`initDone$$},
+    UntrackedVariables:>{Typeset`size$$}], "Manipulate",
+   Deployed->True,
+   StripOnInput->False],
+  Manipulate`InterpretManipulate[1]]], "Output",
+ CellChangeTimes->{
+  3.9062139578721237`*^9, 3.906214003058313*^9, 3.906214071516457*^9, {
+   3.906214108229823*^9, 3.9062141307226133`*^9}, {3.9062141620246058`*^9, 
+   3.906214193906011*^9}, 3.906214262737403*^9, {3.90621434269233*^9, 
+   3.9062143610871553`*^9}, {3.906214392657584*^9, 3.906214403580596*^9}},
+ CellLabel->
+  "Out[344]=",ExpressionUUID->"3d3f30c9-a929-4460-9ca9-2ef5435a002f"]
+}, Open  ]]
+},
+WindowSize->{1440, 782},
+WindowMargins->{{0, Automatic}, {Automatic, 0}},
+TaggingRules-><|"TryRealOnly" -> False|>,
+FrontEndVersion->"13.0 for Mac OS X x86 (64-bit) (February 4, 2022)",
+StyleDefinitions->"Default.nb",
+ExpressionUUID->"804de27d-3276-4e9f-9c82-4cfab8c3be4c"
+]
+(* End of Notebook Content *)
+
+(* Internal cache information *)
+(*CellTagsOutline
+CellTagsIndex->{}
+*)
+(*CellTagsIndex
+CellTagsIndex->{}
+*)
+(*NotebookFileOutline
+Notebook[{
+Cell[CellGroupData[{
+Cell[580, 22, 35422, 835, 2216, "Input",ExpressionUUID->"cef6a996-4bad-4901-8d11-377a6ad0b7cd"],
+Cell[36005, 859, 15874, 312, 375, "Output",ExpressionUUID->"3d3f30c9-a929-4460-9ca9-2ef5435a002f"]
+}, Open  ]]
+}
+]
+*)
+
-- 
GitLab