(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 211071, 10104]*) (*NotebookOutlinePosition[ 211775, 10128]*) (* CellTagsIndexPosition[ 211731, 10124]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"\[IndentingNewLine]", RowBox[{\(Remove["\"];\), "\[IndentingNewLine]", RowBox[{"programMain", ":=", RowBox[{"(", "\[IndentingNewLine]", RowBox[{\(E1 = 1\), ";", \(s1 = 10^13\), ";", "\[IndentingNewLine]", \(k1 = 8.617*10^\(-5\)\), ";", "\[IndentingNewLine]", \(f = 10^21\), ";", "\[IndentingNewLine]", \(A1 = 10^\(-21\)\), ";", \(A2 = 10^\(-19\)\), ";", \(Am = 10^\(-21\)\), ";", \(Ah = 10^\(-21\)\), ";", "\[IndentingNewLine]", \(N1 = 10^23\), ";", \(N2 = 10^21\), ";", \(M = 1.01*10^23\), ";", "\[IndentingNewLine]", "\[IndentingNewLine]", \(solveDiffeq[n10_, n20_, m0_, nv0_, nc0_, R_, tfinal_, \[Beta]heat_, irrTemp_] := Module[{t}, sol = \[IndentingNewLine]NDSolve[{\(n1'\)[t] \[Equal] A1*\((N1 - n1[t])\)*nc[t] - n1[t]*s1* E^\((\(-E1\)/\((k1*\((273 + irrTemp + \[Beta]heat* t)\))\))\), \ \[IndentingNewLine]\(n2'\)[t] \[Equal] A2*\((N2 - n2[t])\)* nc[t], \[IndentingNewLine]\(m'\)[ t] \[Equal] \(-Am\)*m[t]*nc[t] + Ah*nv[t]*\((M - m[t])\), \ \[IndentingNewLine]\(nv'\)[ t] \[Equal] R - Ah*nv[t]*\((M - m[t])\), \ \(nc'\)[ t] \[Equal] \(m'\)[t] + \(nv'\)[t] - \(n1'\)[ t] - \(n2'\)[t], n1[0] \[Equal] n10, n2[0] \[Equal] n20, nc[0] \[Equal] nc0, \ nv[0] \[Equal] nv0, m[0] \[Equal] m0}, {n1, n2, m, nv, nc}, {t, 0, tfinal}, MaxSteps \[Rule] 50000]]\), ";", "\[IndentingNewLine]", "\[IndentingNewLine]", \(initValues[b_, d_] := Module[{}, n10 = Last[n1[d] /. b]; n20 = Last[n2[d] /. b]; m0 = Last[m[d] /. b]; nv0 = Last[nv[d] /. b]; nc0 = Last[nc[d] /. b]]\), ";", "\[IndentingNewLine]", "\[IndentingNewLine]", RowBox[{"(*", StyleBox[\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(\ --\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(\ --\(---\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\), FontColor->RGBColor[0, 1, 0]], "*)"}], "\[IndentingNewLine]", "\[IndentingNewLine]", \( (*\ irradiation\ \ *) \), "\[IndentingNewLine]", \(R = 10^21\), ";", \(tfinal9 = irrTime\), ";", \(\[Beta]heat = 0\), ";", \(irrTemp = 20\), ";", "\[IndentingNewLine]", \(solveDiffeq[n10, n20, m0, nv0, nc0, R, tfinal9, \[Beta]heat, irrTemp]\), ";", "\[IndentingNewLine]", \(sol9 = sol\), ";", "\[IndentingNewLine]", "\[IndentingNewLine]", \( (*\ Relaxation\ stage\ *) \), "\[IndentingNewLine]", \(initValues[sol9, tfinal9]\), ";", "\[IndentingNewLine]", \(R = 0\), ";", \(tfinal10 = 60\), ";", \(\[Beta]heat = 0\), ";", \(irrTemp = 20\), ";", "\[IndentingNewLine]", \(solveDiffeq[n10, n20, m0, nv0, nc0, R, tfinal10, \[Beta]heat, irrTemp]\), ";", "\[IndentingNewLine]", \(sol10 = sol\), ";", "\[IndentingNewLine]", "\[IndentingNewLine]", \( (*step\ 3 - \ record\ maxTL*) \), "\[IndentingNewLine]", \(initValues[sol10, tfinal10]\), ";", "\[IndentingNewLine]", \(R = 0\), ";", \(\[Beta]heat\ = 5\), ";", \(irrTemp = 20\), ";", \(tfinal11 = \((\ 170 - irrTemp)\)/\[Beta]heat\), " ", ";", "\[IndentingNewLine]", \(solveDiffeq[n10, n20, m0, nv0, nc0, R, tfinal11, \[Beta]heat, irrTemp]\), ";", "\[IndentingNewLine]", \(sol11 = sol\), ";", "\[IndentingNewLine]", \(tlList4 = Table[{First[Evaluate[\((m[t]*nc[t]*Am)\) /. sol11]]}, {t, 0, tfinal11, 0.2}]\), ";", "\[IndentingNewLine]", \(sn = Max[tlList4]\), ";"}], "\[IndentingNewLine]", ")"}]}], "\[IndentingNewLine]", RowBox[{"(*", StyleBox[\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(\ --\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(--\(----\)\ \)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\)\), FontColor->RGBColor[0, 1, 0]], "*)"}], "\[IndentingNewLine]", \(tstart = 0.3; tend = 400; tstep = 0.5;\), "\[IndentingNewLine]", \(n1List1 = {}; n2List1 = {}; mList1 = {}; snList1 = {}; logsnList1 = {};\), "\[IndentingNewLine]", \(logn1List1 = {}; logn2List1 = {}; logmList1 = {};\), "\[IndentingNewLine]", \(For[tloop = tstart, tloop \[LessEqual] tend, tloop += tstep, \[IndentingNewLine]n10 = 0; n20 = 0; m0 = 0; nv0 = 0; nc0 = 0; \[IndentingNewLine]irrTime = tloop; \[IndentingNewLine]programMain; \ \[IndentingNewLine]initValues[sol10, tfinal10]; (*find\ n1, n2, m, TLmax\ at\ end\ of\ first\ irradiation\ section*) ; \ \[IndentingNewLine]AppendTo[logn1List1, {Log[irrTime], Log[n10]}]; AppendTo[logn2List1, {Log[irrTime], Log[n20]}]; AppendTo[logmList1, {Log[irrTime], Log[m0]}]; AppendTo[ logsnList1, {Log[irrTime], Log[sn]}]; \[IndentingNewLine]AppendTo[ n1List1, {tloop, n10}]; AppendTo[n2List1, {tloop, n20}]; 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