diff options
| -rw-r--r-- | IsingScalingFunction.wl | 11 | ||||
| -rw-r--r-- | IsingScalingFunctionExamples.nb | 22354 |
2 files changed, 8632 insertions, 13733 deletions
diff --git a/IsingScalingFunction.wl b/IsingScalingFunction.wl index 8545567..4069a5d 100644 --- a/IsingScalingFunction.wl +++ b/IsingScalingFunction.wl @@ -25,6 +25,9 @@ DScriptFPlusMinusDξList::usage = DScriptF0DηList::usage = "DScriptF0DηList computes the first m derivatives of the scaling function F_0." +DScriptF0Dη::usage = + "DScriptF0Dη computes the mth derivative of the scaling function F_0." + DScriptMCasDξList::usage = "Computes the first m derivatives of the scaling function M given by Caselle et al." uf::usage = "uf computes the singular free energy u_f." @@ -45,6 +48,8 @@ PrepareArgument::usage = "Converts scaling function data into appropriate argume θ0Cas::usage = "" +h0Cas::usage = "" + gsCas::usage = "" Φs::usage = "" @@ -252,7 +257,7 @@ DScriptF0Dη[params__][m_, θ_] := Last[DScriptF0DηList[params][m, θ]] DufDut[θ0_, θYL_, B_, C0_, CYL_, Gs_, gs_][m_][R_, θ_] := m! RealAbs[uh[θ0, gs][R, θ]]^(2 / Δ - m / Δ) DScriptF0Dη[θ0, θYL, B, C0, CYL, Gs, gs][m, θ] + Log[uh[θ0, gs][R, θ]^2] / (8 π Δ) Derivative[m][Function[utp, utp^2]][ut[R, θ]] -DufDuh[θ0_, θYL_, B_, C0_, CYL_, Gs_, gs_][m_][R_, θ_] := m! RealAbs[ut[R, θ]]^(2-m Δ) DScriptFPlusMinusDξ[θ0, θYL, B, C0, CYL, Gs, gs][m, θ] + Derivative[m][Identity][θ] ut[R, θ]^2 / (8 π) Log[ut[R, θ]^2] +DufDuh[θ0_, θYL_, B_, C0_, CYL_, Gs_, gs_][m_][R_, θ_] := m! RealAbs[ut[R, θ]]^(2-m Δ) DScriptFPlusMinusDξ[θ0, θYL, B, C0, CYL, Gs, gs][m, θ] + Derivative[m][1&][θ] ut[R, θ]^2 / (8 π) Log[ut[R, θ]^2] ruleB[θ0_, gs_] := (2 * OverlineS / π) * (- g[θ0, gs]'[θ0] / t[θ0]^Δ) @@ -265,8 +270,8 @@ h0Cas := a b ρ /. { b -> (-c4/c2^3)^(1/2), ρ -> 2.00881 } /. { - c2->Ghs[[3]]2!, - c4->Ghs[[5]]["Value"]4! + c2->Ghs[[3]] 2!, + c4->Ghs[[5]]["Value"] 4! } gsCas := h0Cas * { diff --git a/IsingScalingFunctionExamples.nb b/IsingScalingFunctionExamples.nb index 1eda301..c0d868d 100644 --- a/IsingScalingFunctionExamples.nb +++ b/IsingScalingFunctionExamples.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 944999, 17080] -NotebookOptionsPosition[ 934897, 16909] -NotebookOutlinePosition[ 935294, 16925] -CellTagsIndexPosition[ 935251, 16922] +NotebookDataLength[ 618512, 11974] +NotebookOptionsPosition[ 612895, 11877] +NotebookOutlinePosition[ 613291, 11893] +CellTagsIndexPosition[ 613248, 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Identity, + Ticks -> {Automatic, + Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> + MachinePrecision, RotateLabel -> 0]}, + AxesOrigin -> {0, -4.225253979208682}, FrameTicks -> {{ + Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> + MachinePrecision, RotateLabel -> 0], + Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}}, + GridLines -> {None, None}, DisplayFunction -> Identity, + PlotRangePadding -> {{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All, + DisplayFunction -> Identity, + Method -> { + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, + "DefaultMeshStyle" -> AbsolutePointSize[6], 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PointSize[0.5], + Opacity[1.], + RGBColor[0.880722, 0.611041, 0.142051], + AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, + ImageSize -> {20, 10}, PlotRangePadding -> None, + ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, { + GraphicsBox[{{ + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + RGBColor[0.560181, 0.691569, 0.194885], + AbsoluteThickness[1.6]], { + LineBox[{{0, 10}, {20, 10}}]}}, { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + 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}, { + GraphicsBox[{{ + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + RGBColor[0.922526, 0.385626, 0.209179], + AbsoluteThickness[1.6]], { + LineBox[{{0, 10}, {20, 10}}]}}, { + Directive[ + EdgeForm[ + Directive[ + Opacity[0.3], + GrayLevel[0]]], + PointSize[0.5], + Opacity[1.], + RGBColor[0.922526, 0.385626, 0.209179], + AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, + ImageSize -> {20, 10}, PlotRangePadding -> None, + ImagePadding -> Automatic, + BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, + GridBoxAlignment -> { + "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, + AutoDelete -> False, + GridBoxDividers -> { + "Columns" -> {{False}}, "Rows" -> {{False}}}, + GridBoxItemSize -> { + "Columns" -> {{All}}, "Rows" -> {{All}}}, + GridBoxSpacings -> { + "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, + GridBoxAlignment -> { + "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete -> + False, GridBoxItemSize -> { + "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, + GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], + "Grid"]}}, GridBoxAlignment -> {"Columns" -> 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