From bf880a78ff48e24dd9e7dea688349ee2b480f431 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Sun, 16 Feb 2020 18:08:46 -0500 Subject: Now using spline interpolation as the default for all specific heats, entropies. --- tempering_analysis.nb | 3591 +++++++++++++++++++++++-------------------------- 1 file changed, 1666 insertions(+), 1925 deletions(-) diff --git a/tempering_analysis.nb b/tempering_analysis.nb index 80e02b2..b5de990 100644 --- a/tempering_analysis.nb +++ b/tempering_analysis.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 379721, 7420] -NotebookOptionsPosition[ 372668, 7302] -NotebookOutlinePosition[ 373035, 7318] -CellTagsIndexPosition[ 372992, 7315] +NotebookDataLength[ 364620, 7161] +NotebookOptionsPosition[ 358256, 7055] +NotebookOutlinePosition[ 358619, 7071] +CellTagsIndexPosition[ 358576, 7068] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -313,25 +313,27 @@ 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DisplayFunction -> Identity, PlotRangePadding -> {{ Scaled[0.02], - Scaled[0.02]}, { - Scaled[0.05], - Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All, - DisplayFunction -> Identity, AspectRatio -> + Scaled[0.02]}, {0, 0}}, PlotRangeClipping -> True, ImagePadding -> + All, DisplayFunction -> Identity, AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, AxesLabel -> { FormBox["\[Beta]", TraditionalForm], @@ -1551,11 +1577,15 @@ vrCP3Q== (Identity[#]& )[ Part[#, 1]], (Identity[#]& )[ - Part[#, 2]]}& )}}, PlotRange -> {All, All}, PlotRangeClipping -> + Part[#, 2]]}& )}}, PlotRange -> {All, {0, 2}}, PlotRangeClipping -> True, PlotRangePadding -> {{Automatic, Automatic}, { Automatic, Automatic}}, Ticks -> {Automatic, Automatic}}],FormBox[ FormBox[ TemplateBox[{ + "\"High-\\!\\(\\*StyleBox[\\\"T\\\",FontSlant->\\\"Italic\\\"]\\) \ +expansion\"", + "\"Low-\\!\\(\\*StyleBox[\\\"T\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\ +\\*StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)expansion\"", RowBox[{"n", "\[LongEqual]", "8"}], RowBox[{"n", "\[LongEqual]", "12"}], RowBox[{"n", "\[LongEqual]", "16"}]}, "LineLegend", @@ -1575,9 +1605,9 @@ vrCP3Q== GrayLevel[0]]], PointSize[0.5], Opacity[1.], - RGBColor[0.368417, 0.506779, 0.709798], - AbsoluteThickness[1.6]], { - LineBox[{{0, 10}, {20, 10}}]}}, { + AbsoluteThickness[1.6], + GrayLevel[0]], { + LineBox[{{0, 10}, {40, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -1585,9 +1615,9 @@ vrCP3Q== GrayLevel[0]]], PointSize[0.5], Opacity[1.], - RGBColor[0.368417, 0.506779, 0.709798], - AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, - ImageSize -> {20, 10}, PlotRangePadding -> None, + AbsoluteThickness[1.6], + GrayLevel[0]], {}}}, AspectRatio -> Full, + ImageSize -> {40, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, { GraphicsBox[{{ @@ -1598,9 +1628,10 @@ vrCP3Q== GrayLevel[0]]], PointSize[0.5], Opacity[1.], - RGBColor[0.880722, 0.611041, 0.142051], - AbsoluteThickness[1.6]], { - LineBox[{{0, 10}, {20, 10}}]}}, { + AbsoluteThickness[1.6], + GrayLevel[0], + Dashing[{Small, Small}]], { + LineBox[{{0, 10}, {40, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -1608,9 +1639,10 @@ vrCP3Q== GrayLevel[0]]], PointSize[0.5], Opacity[1.], - RGBColor[0.880722, 0.611041, 0.142051], - AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, - ImageSize -> {20, 10}, PlotRangePadding -> None, + AbsoluteThickness[1.6], + GrayLevel[0], + Dashing[{Small, Small}]], {}}}, AspectRatio -> Full, + ImageSize -> {40, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, { GraphicsBox[{{ @@ -1621,9 +1653,9 @@ vrCP3Q== GrayLevel[0]]], PointSize[0.5], Opacity[1.], - RGBColor[0.560181, 0.691569, 0.194885], - AbsoluteThickness[1.6]], { - LineBox[{{0, 10}, {20, 10}}]}}, { + AbsoluteThickness[1.6], + RGBColor[0.368417, 0.506779, 0.709798]], { + LineBox[{{0, 10}, {40, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -1631,11 +1663,57 @@ vrCP3Q== GrayLevel[0]]], PointSize[0.5], Opacity[1.], - RGBColor[0.560181, 0.691569, 0.194885], - AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, - ImageSize -> {20, 10}, PlotRangePadding -> None, - ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, + AbsoluteThickness[1.6], + RGBColor[0.368417, 0.506779, 0.709798]], {}}}, + AspectRatio -> Full, ImageSize -> {40, 10}, + PlotRangePadding -> None, ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, { + GraphicsBox[{{ + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + AbsoluteThickness[1.6], + RGBColor[0.880722, 0.611041, 0.142051]], { + LineBox[{{0, 10}, {40, 10}}]}}, { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + AbsoluteThickness[1.6], + RGBColor[0.880722, 0.611041, 0.142051]], {}}}, + AspectRatio -> Full, ImageSize -> {40, 10}, + PlotRangePadding -> None, ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}, { + GraphicsBox[{{ + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + AbsoluteThickness[1.6], + RGBColor[0.560181, 0.691569, 0.194885]], { + LineBox[{{0, 10}, {40, 10}}]}}, { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + AbsoluteThickness[1.6], + RGBColor[0.560181, 0.691569, 0.194885]], {}}}, + AspectRatio -> Full, ImageSize -> {40, 10}, + PlotRangePadding -> None, ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #5}}, GridBoxAlignment -> { "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, AutoDelete -> False, @@ -1661,6 +1739,97 @@ vrCP3Q== RowBox[{"Directive", "[", RowBox[{ RowBox[{"Opacity", "[", "1.`", "]"}], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + GrayLevel[0], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> GrayLevel[0.], FrameTicks -> None, + PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> + False]], Appearance -> None, BaseStyle -> {}, + BaselinePosition -> Baseline, DefaultBaseStyle -> {}, + ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, + If[ + Not[ + AbsoluteCurrentValue["Deployed"]], + SelectionMove[Typeset`box$, All, Expression]; + FrontEnd`Private`$ColorSelectorInitialAlpha = 1; + FrontEnd`Private`$ColorSelectorInitialColor = + GrayLevel[0]; + FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; + MathLink`CallFrontEnd[ + 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RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> + False]], Appearance -> None, BaseStyle -> {}, + BaselinePosition -> Baseline, DefaultBaseStyle -> {}, + ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, + If[ + Not[ + AbsoluteCurrentValue["Deployed"]], + SelectionMove[Typeset`box$, All, Expression]; + FrontEnd`Private`$ColorSelectorInitialAlpha = 1; + FrontEnd`Private`$ColorSelectorInitialColor = + GrayLevel[0]; + FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; + MathLink`CallFrontEnd[ + FrontEnd`AttachCell[Typeset`box$, + FrontEndResource["GrayLevelColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + GrayLevel[0], Editable -> False, Selectable -> False], + ",", + RowBox[{"Dashing", "[", + RowBox[{"{", + RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], + ",", + RowBox[{"Directive", "[", + 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+/Oh/Rlteh9KgriM4/aOTJB7nX/Vz23Ea/A/zulKG "]]}, - Annotation[#, "Charting`Private`Tag$77931#4"]& ]}}, {}}, { + Annotation[#, "Charting`Private`Tag$113748#5"]& ]}}, {}}, { DisplayFunction -> Identity, Method -> { "DefaultBoundaryStyle" -> Automatic, @@ -2243,7 +2417,7 @@ TJXndPgf1VQfRw== Ticks -> {Quiet[ Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Quiet[ Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& }, - AxesOrigin -> {-11.512925464970229`, -14.619668330378314`}, + AxesOrigin -> {-11.512925150175361`, -14.619668378205503`}, FrameTicks -> {{Quiet[ Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Charting`ScaledFrameTicks[{Log, Exp}]}, {Quiet[ @@ -2252,8 +2426,7 @@ TJXndPgf1VQfRw== DisplayFunction -> Identity, PlotRangePadding -> {{ Scaled[0.02], Scaled[0.02]}, { - Scaled[0.05], - Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All, + Scaled[0.05], 0}}, PlotRangeClipping -> True, ImagePadding -> All, DisplayFunction -> Identity, Method -> { "DefaultBoundaryStyle" -> Automatic, @@ -2265,13 +2438,12 @@ TJXndPgf1VQfRw== "freeformCursorMode" -> True, "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> None, - "ClippingRange" -> {{{-11.512925164321222`, - 3.2188755242191944`}, {-14.619668330378314`, - 0.11934465787337491`}}, {{-11.512925164321222`, - 3.2188755242191944`}, {-14.619668330378314`, 0.11934465787337491`}}}}, - DisplayFunction -> Identity, AspectRatio -> - NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, - AxesLabel -> { + "ClippingRange" -> {{{-11.512925150175361`, + 3.9120226906332793`}, {-14.619668378205503`, + 10.12663078905547}}, {{-11.512925150175361`, + 3.9120226906332793`}, {-14.619668378205503`, 0.}}}}, DisplayFunction -> + Identity, AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes -> {True, True}, AxesLabel -> { FormBox["\[Beta]", TraditionalForm], FormBox["\"c(\[Beta]) / \[Beta]\"", TraditionalForm]}, AxesOrigin -> {0, 0}, CoordinatesToolOptions -> {"DisplayFunction" -> ({ @@ -2298,19 +2470,16 @@ TJXndPgf1VQfRw== "freeformCursorMode" -> True, "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> - None}, PlotRange -> NCache[{{-11.512925464970229`, - Log[25]}, {-14.619668330378314`, - 0.11934465787337491`}}, {{-11.512925464970229`, - 3.2188758248682006`}, {-14.619668330378314`, 0.11934465787337491`}}], - PlotRangeClipping -> True, PlotRangePadding -> {{ - Scaled[0.02], - Scaled[0.02]}, { - Scaled[0.02], - Scaled[0.02]}}, Ticks -> {Automatic, Automatic}}],FormBox[ + None}, PlotRange -> {All, {-14.619668378205503`, 0}}, + PlotRangeClipping -> True, + PlotRangePadding -> {{Automatic, Automatic}, { + Scaled[0.02], Automatic}}, Ticks -> {Automatic, Automatic}}],FormBox[ FormBox[ TemplateBox[{ "\"High-\\!\\(\\*StyleBox[\\\"T\\\",FontSlant->\\\"Italic\\\"]\\) \ expansion\"", + "\"Low-\\!\\(\\*StyleBox[\\\"T\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\ +\\*StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)expansion\"", RowBox[{"n", "\[LongEqual]", "8"}], RowBox[{"n", "\[LongEqual]", "12"}], RowBox[{"n", "\[LongEqual]", "16"}]}, "LineLegend", @@ -2332,7 +2501,7 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], GrayLevel[0]], { - LineBox[{{0, 10}, {20, 10}}]}}, { + LineBox[{{0, 10}, {40, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -2342,9 +2511,34 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], GrayLevel[0]], {}}}, AspectRatio -> Full, - ImageSize -> {20, 10}, PlotRangePadding -> None, + ImageSize -> {40, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, { + GraphicsBox[{{ + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + AbsoluteThickness[1.6], + GrayLevel[0], + Dashing[{Small, Small}]], { + LineBox[{{0, 10}, {40, 10}}]}}, { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + AbsoluteThickness[1.6], + GrayLevel[0], + Dashing[{Small, Small}]], {}}}, AspectRatio -> Full, + ImageSize -> {40, 10}, PlotRangePadding -> None, + ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, { GraphicsBox[{{ Directive[ EdgeForm[ @@ -2355,7 +2549,7 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], RGBColor[0.368417, 0.506779, 0.709798]], { - LineBox[{{0, 10}, {20, 10}}]}}, { + LineBox[{{0, 10}, {40, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -2365,9 +2559,9 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], RGBColor[0.368417, 0.506779, 0.709798]], {}}}, - AspectRatio -> Full, ImageSize -> {20, 10}, + AspectRatio -> Full, ImageSize -> {40, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, { + BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, { GraphicsBox[{{ Directive[ EdgeForm[ @@ -2378,7 +2572,7 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], RGBColor[0.880722, 0.611041, 0.142051]], { - LineBox[{{0, 10}, {20, 10}}]}}, { + LineBox[{{0, 10}, {40, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -2388,9 +2582,9 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], RGBColor[0.880722, 0.611041, 0.142051]], {}}}, - AspectRatio -> Full, ImageSize -> {20, 10}, + AspectRatio -> Full, ImageSize -> {40, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, { + BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}, { GraphicsBox[{{ Directive[ EdgeForm[ @@ -2401,7 +2595,7 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], RGBColor[0.560181, 0.691569, 0.194885]], { - LineBox[{{0, 10}, {20, 10}}]}}, { + LineBox[{{0, 10}, {40, 10}}]}}, { Directive[ EdgeForm[ Directive[ @@ -2411,9 +2605,9 @@ expansion\"", Opacity[1.], AbsoluteThickness[1.6], RGBColor[0.560181, 0.691569, 0.194885]], {}}}, - AspectRatio -> Full, ImageSize -> {20, 10}, + AspectRatio -> Full, ImageSize -> {40, 10}, PlotRangePadding -> None, ImagePadding -> Automatic, - BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #5}}, GridBoxAlignment -> { "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, AutoDelete -> False, @@ -2479,6 +2673,53 @@ expansion\"", Automatic, Method -> "Preemptive"], GrayLevel[0], Editable -> False, Selectable -> False]}], "]"}], ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"Opacity", "[", "1.`", "]"}], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + GrayLevel[0], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> GrayLevel[0.], FrameTicks -> None, + PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> + False]], Appearance -> None, BaseStyle -> {}, + BaselinePosition -> Baseline, DefaultBaseStyle -> {}, + ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, + If[ + Not[ + AbsoluteCurrentValue["Deployed"]], + SelectionMove[Typeset`box$, All, Expression]; + FrontEnd`Private`$ColorSelectorInitialAlpha = 1; + FrontEnd`Private`$ColorSelectorInitialColor = + GrayLevel[0]; + FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; + MathLink`CallFrontEnd[ + FrontEnd`AttachCell[Typeset`box$, + FrontEndResource["GrayLevelColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + GrayLevel[0], Editable -> False, Selectable -> False], + ",", + RowBox[{"Dashing", "[", + RowBox[{"{", + RowBox[{"Small", ",", "Small"}], "}"}], 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