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[u/mrichter/AliRoot.git] / LHC / AliLhcProcessIBS.cxx
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11141716 1/**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
3 * *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
6 * *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
15
803d1ab0 16/* $Id$ */
11141716 17
18#include "AliLhcProcessIBS.h"
19#include "AliLHC.h"
20#include "AliLhcIRegion.h"
21#include "AliLhcBeam.h"
22
23#include <TF1.h>
24#include <TMath.h>
25#include <TCanvas.h>
26#include <TGraph.h>
27#include <TMultiGraph.h>
28
29ClassImp(AliLhcProcessIBS)
30
31 Double_t func(Double_t *x, Double_t *par);
32
33AliLhcProcessIBS::AliLhcProcessIBS(AliLHC* lhc, const char* name, const char* title)
34 :AliLhcProcess(lhc,name,title)
35{
36// Constructor
37}
38
39
40AliLhcProcessIBS::~AliLhcProcessIBS()
41{
42// Destructor
43
44}
45
46void AliLhcProcessIBS::Init()
47{
48 // Initialization
49 const Float_t r0=1.535e-16;
50
51 printf("\n Initializing Process %s", GetName());
52 printf("\n ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^");
53
54 fIRegions = fAccelerator->IRegions();
55
56 for (Int_t i = 0; i < 2; i++) {
57 fBeam[i] = fAccelerator->Beam(i);
58 fR[i] = r0*fBeam[i]->Z()*fBeam[i]->Z()/fBeam[i]->A();
59 fE[i] = 0.938*fBeam[i]->A();
60 }
61}
62
63void AliLhcProcessIBS::Evolve(Float_t dt)
64{
65 printf("\n Here process %s %f:", GetName(), dt);
66 for (Int_t i=0; i<2; i++) {
67 // Density
68 Float_t sige = fBeam[i]->EnergySpread();
69 Float_t avbeta = fAccelerator->AverageBeta();
70 Float_t avd = fAccelerator->AverageDisp();
71
72 Float_t gamma = fBeam[i]->Gamma();
73 Float_t epsx = fBeam[i]->Emittance()*gamma;
74 Float_t epsy = epsx;
75 Float_t epse = fBeam[i]->LongEmittance();
76 Float_t sigxb = TMath::Sqrt(epsx/gamma*avbeta);
77 Float_t sigx = TMath::Sqrt(sigxb*sigxb+(avd*avd*sige*sige));
78 Float_t ssigx = TMath::Sqrt(epsx/gamma/avbeta);
79 Float_t sigy = sigx;
80 Float_t ssigy = ssigx;
81
82 Float_t asd = fBeam[i]->N()*fR[i]*fR[i]*fE[i]/
83 (16.*TMath::Pi()*gamma*epsx*epsy*epse);
84
85 // impact parameter
86 Float_t d = sige*avd/sigx;
87 //
88 Float_t at = sige*TMath::Sqrt(1.-d*d)/(gamma*ssigx);
89 Float_t bt = sige*TMath::Sqrt(1.-d*d)/(gamma*ssigy);
90 Float_t ct = sige*TMath::Sqrt(1.-d*d)*TMath::Sqrt(4.*sigy/fR[i]);
91 //
92 Double_t par[3];
93 par[0] = at;
94 par[1] = bt;
95 par[2] = ct;
96 TF1 *fct = new TF1("func",func, 0., 1., 3);
97
98 Float_t f = (Float_t) 8.0*TMath::Pi()*
99 fct->Integral(0., 1., par, 1.e-5);
100 //
101 fTaux = 1./(asd*f*(d*d-at*at/2.));
102 fTaue = 1./(asd*f*(1.-d*d));
103 // printf("\n taux, taue %f %f", taux, taue);
104 // Float_t tauy = -2./at*at/asd/f;
105 fBeam[i]->IncreaseEmittance(dt/fTaux, dt/fTaue);
106 }
107
108}
109
110void AliLhcProcessIBS::SetMonitor(Int_t n)
111{
112 // Initialize Monitor
113 if (fTauxArray) delete fTauxArray;
114 if (fTaueArray) delete fTaueArray;
115 fTauxArray = new Float_t[n];
116 fTaueArray = new Float_t[n];
117 fNmax = n;
118}
119
120void AliLhcProcessIBS::Record()
121{
122 // Record monitor quantities
123 fTauxArray[fAccelerator->Nt()] = fTaux/3600.;
124 fTaueArray[fAccelerator->Nt()] = fTaue/3600.;
125}
126
127
128void AliLhcProcessIBS::DrawPlots()
129{
130 // Draw monitor plots
131 Float_t* t = fAccelerator->TimeA();
132
133 TH1 *t1 = new TH1F("t1","Hor. IBS growth time",fNmax,0,t[fNmax]);
134 t1->SetMinimum(0);
135 t1->SetMaximum(fTauxArray[fNmax]*1.1);
136 t1->SetStats(0);
137 t1->GetXaxis()->SetTitle("t (h)");
138 t1->GetYaxis()->SetTitle("tau_x (t)");
139
140 TH1 *t2 = new TH1F("t2","Long. IBS growth time",fNmax,0,t[fNmax]);
141 t2->SetMinimum(0);
142 t2->SetMaximum(fTaueArray[fNmax]*1.1);
143 t2->SetStats(0);
144 t2->GetXaxis()->SetTitle("t (h)");
145 t2->GetYaxis()->SetTitle("tau_l (t)");
146
147 TGraph* grTaux = new TGraph(fNmax, fAccelerator->TimeA(), fTauxArray);
148 grTaux->SetHistogram(t1);
149
150 TGraph* grTaue = new TGraph(fNmax, fAccelerator->TimeA(), fTaueArray);
151 grTaue->SetHistogram(t2);
152 grTaue->SetLineStyle(2);
153
154 TMultiGraph* mg = new TMultiGraph();
155 mg->Add(grTaux);
156 mg->Add(grTaue);
157
158 TCanvas *c3 = new TCanvas("c3","IBS", 200, 10, 700, 500);
159 c3->SetGrid();
160 mg->Draw("AC");
161 mg->GetXaxis()->SetTitle("t (h)");
162 mg->GetYaxis()->SetTitle("IBS Growth Time (h)");
163 mg->Draw("AC");
164}
165
166
167
168
169
e76f229f 170AliLhcProcessIBS& AliLhcProcessIBS::operator=(const AliLhcProcessIBS & /*rhs*/)
11141716 171{
172// Assignment operator
173 return *this;
174}
175
176Double_t func(Double_t *x, Double_t *par)
177{
178 Double_t a = par[0];
179 Double_t b = par[1];
180 Double_t cc = par[2];
181
182 const Double_t bc = 0.5772;
183 Double_t xx = x[0];
184 Double_t x2=xx*xx;
185 Double_t x1=1.0-x2;
186 Double_t p=1.0/TMath::Sqrt(x2+a*a*x1);
187 Double_t q=1.0/TMath::Sqrt(x2+b*b*x1);
188 return (1.0-3.0*x2)*p*q*(2.0*TMath::Log(0.5*cc*(p+q))-bc);
189}
190