diff options
-rw-r--r-- | new_schofield.nb | 33625 | ||||
-rw-r--r-- | schofield.wl | 32 |
2 files changed, 18461 insertions, 15196 deletions
diff --git a/new_schofield.nb b/new_schofield.nb index 5b6f1cb..97284a1 100644 --- a/new_schofield.nb +++ b/new_schofield.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 2198109, 42827] -NotebookOptionsPosition[ 2188173, 42670] -NotebookOutlinePosition[ 2188570, 42686] -CellTagsIndexPosition[ 2188527, 42683] +NotebookDataLength[ 2355235, 46094] +NotebookOptionsPosition[ 2342168, 45886] +NotebookOutlinePosition[ 2342566, 45902] +CellTagsIndexPosition[ 2342523, 45899] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -25,7 +25,7 @@ Cell[BoxData[ CellChangeTimes->{{3.817548726786456*^9, 3.817548838429791*^9}, { 3.817579586526174*^9, 3.817579588547625*^9}, {3.8176251109891653`*^9, 3.817625112168749*^9}, {3.8176254615736647`*^9, 3.817625462650483*^9}}, - CellLabel->"In[1]:=",ExpressionUUID->"e595a667-7f25-4f98-9f12-a321a236d113"], + 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Sum[FC[i] θ^(2i) , {i, 0, n}] +RF[n_][θ_] := A RFf[B(θc-θ)] + RFnonsingular[n][θ] + +RFfCoeff[m_] := 0 /; m < 2 +RFfCoeff[m_] := Gamma[m - 1] / π /; m > 1 ruleB[g_] := π / (2 1.3578383417066) (- g'[θc] / t[θc]^Δ[2]) -eqLow[F_, h_][m_] := SeriesCoefficient[ - F[θ] - t[θ]^2 (Gl[h[θ] t[θ]^-Δ[2]] + Log[t[θ]^2]/(8 π)), - {θ, θc, m}, - Assumptions -> Join[$Assumptions, {θ < θc, θ > 1}] -] +eqLow[n_, h_][m_] := -A B^m RFfCoeff[m] + D[ + RFnonsingular[n][θ] - t[θ]^2 (Gl[h[θ] t[θ]^-Δ[2]] + Log[t[θ]^2]/(8 π)), + {θ, m} ] / m! /. θ -> θc -eqHigh[F_, h_][m_] := SeriesCoefficient[ - F[θ] - (-t[θ])^2 (Gh[h[θ] (-t[θ])^-Δ[2]] + Log[(-t[θ])^2]/(8 π)), - {θ, 0, m}, - Assumptions -> Join[$Assumptions, {θ > 0, θ < 1}] -] +eqHigh[n_, h_][m_] := D[ + RF[n][θ] - (-t[θ])^2 (Gh[h[θ] (-t[θ])^-Δ[2]] + Log[(-t[θ])^2]/(8 π)), + {θ, m} ] /. θ -> 0 -eqMid[F_, h_][m_] := SeriesCoefficient[ - F[θ] - t[θ]^2 Log[h[θ]^2]/(8 Δ[2]π) - h[θ]^((2-α[2])/Δ[2]) Φ[η] +eqMid[n_, h_][m_] := D[ + RF[n][θ] - t[θ]^2 Log[h[θ]^2]/(8 Δ[2]π) - h[θ]^((2-α[2])/Δ[2]) Φ[η] /. η -> t[θ] / h[θ]^(1 / Δ[2]), - {θ, 1, m}, - Assumptions -> Join[$Assumptions, {θ > 0, θ < θc}] -] + {θ, m} ] /. θ -> 1 Φs = { -1.197733383797993, @@ -103,7 +101,7 @@ GhRules = MapIndexed[dRule[Gh], Ghs]; rules[g_] := Join[{B -> ruleB[g]}, ΦRules, GlRules, GhRules] -eq[F_, g_][m_] := Select[Flatten[{eqLow[F, g][#], eqMid[F, g][#], eqHigh[F, g][#]} & /@ Range[0, m]] /. rules[g], !(# === 0) &] +eq[F_, g_][m_] := Flatten[Join[{eqLow[F, g][#], eqMid[F, g][#]} & /@ Range[0, m], eqHigh[F, g] /@ Range[0, m, 2]]] /. rules[g] EndPackage[] |