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25 // 25 //
26 // 26 //
>> 27 // $Id$
27 // 28 //
28 // Hadronic Process: Nuclear De-excitations 29 // Hadronic Process: Nuclear De-excitations
29 // by V. Lara 30 // by V. Lara
30 // 31 //
31 // Modified: 32 // Modified:
32 // 25.07.08 I.Pshenichnov (in collaboration wi 33 // 25.07.08 I.Pshenichnov (in collaboration with Alexander Botvina and Igor
33 // Mishustin (FIAS, Frankfurt, INR, M 34 // Mishustin (FIAS, Frankfurt, INR, Moscow and Kurchatov Institute,
34 // Moscow, pshenich@fias.uni-frankfur 35 // Moscow, pshenich@fias.uni-frankfurt.de) make algorithm closer to
35 // original MF model 36 // original MF model
36 // 16.04.10 V.Ivanchenko improved logic of sol << 37 // 16.04.10 V.Ivanchenko improved logic of solving equation for tempetature
37 // to protect code from rare unwanted 38 // to protect code from rare unwanted exception; moved constructor
38 // and destructor to source 39 // and destructor to source
39 // 28.10.10 V.Ivanchenko defined members in co 40 // 28.10.10 V.Ivanchenko defined members in constructor and cleaned up
40 41
41 #include "G4StatMFMacroTemperature.hh" 42 #include "G4StatMFMacroTemperature.hh"
42 #include "G4PhysicalConstants.hh" 43 #include "G4PhysicalConstants.hh"
43 #include "G4SystemOfUnits.hh" 44 #include "G4SystemOfUnits.hh"
44 #include "G4Pow.hh" <<
45 45
46 G4StatMFMacroTemperature::G4StatMFMacroTempera 46 G4StatMFMacroTemperature::G4StatMFMacroTemperature(const G4double anA, const G4double aZ,
47 const G4double ExEnergy, const G4double Free 47 const G4double ExEnergy, const G4double FreeE0, const G4double kappa,
48 std::vector<G4VStatMFMacroCluster*> * Cluste 48 std::vector<G4VStatMFMacroCluster*> * ClusterVector) :
49 theA(anA), 49 theA(anA),
50 theZ(aZ), 50 theZ(aZ),
51 _ExEnergy(ExEnergy), 51 _ExEnergy(ExEnergy),
52 _FreeInternalE0(FreeE0), 52 _FreeInternalE0(FreeE0),
53 _Kappa(kappa), 53 _Kappa(kappa),
54 _MeanMultiplicity(0.0), 54 _MeanMultiplicity(0.0),
55 _MeanTemperature(0.0), 55 _MeanTemperature(0.0),
56 _ChemPotentialMu(0.0), 56 _ChemPotentialMu(0.0),
57 _ChemPotentialNu(0.0), 57 _ChemPotentialNu(0.0),
58 _MeanEntropy(0.0), 58 _MeanEntropy(0.0),
59 _theClusters(ClusterVector) 59 _theClusters(ClusterVector)
60 {} 60 {}
61 61
62 G4StatMFMacroTemperature::~G4StatMFMacroTemper 62 G4StatMFMacroTemperature::~G4StatMFMacroTemperature()
63 {} 63 {}
64 64
>> 65
65 G4double G4StatMFMacroTemperature::CalcTempera 66 G4double G4StatMFMacroTemperature::CalcTemperature(void)
66 { 67 {
67 // Inital guess for the interval of the ense << 68 // Inital guess for the interval of the ensemble temperature values
68 G4double Ta = 0.5; << 69 G4double Ta = 0.5;
69 G4double Tb = std::max(std::sqrt(_ExEnergy/( << 70 G4double Tb = std::max(std::sqrt(_ExEnergy/(theA*0.12)),0.01*MeV);
70 71
71 G4double fTa = this->operator()(Ta); << 72 G4double fTa = this->operator()(Ta);
72 G4double fTb = this->operator()(Tb); << 73 G4double fTb = this->operator()(Tb);
73 74
74 // Bracketing the solution << 75 // Bracketing the solution
75 // T should be greater than 0. << 76 // T should be greater than 0.
76 // The interval is [Ta,Tb] << 77 // The interval is [Ta,Tb]
77 // We start with a value for Ta = 0.5 MeV << 78 // We start with a value for Ta = 0.5 MeV
78 // it should be enough to have fTa > 0 If it << 79 // it should be enough to have fTa > 0 If it isn't
79 // the case, we decrease Ta. But carefully, << 80 // the case, we decrease Ta. But carefully, because
80 // fTa growes very fast when Ta is near 0 an << 81 // fTa growes very fast when Ta is near 0 and we could have
81 // an overflow. << 82 // an overflow.
82 << 83
83 G4int iterations = 0; << 84 G4int iterations = 0;
84 // Loop checking, 05-Aug-2015, Vladimir Ivan << 85 while (fTa < 0.0 && ++iterations < 10) {
85 while (fTa < 0.0 && ++iterations < 10) { << 86 Ta -= 0.5*Ta;
86 Ta -= 0.5*Ta; << 87 fTa = this->operator()(Ta);
87 fTa = this->operator()(Ta); << 88 }
88 } << 89 // Usually, fTb will be less than 0, but if it is not the case:
89 // Usually, fTb will be less than 0, but if << 90 iterations = 0;
90 iterations = 0; << 91 while (fTa*fTb > 0.0 && iterations++ < 10) {
91 // Loop checking, 05-Aug-2015, Vladimir Ivan << 92 Tb += 2.*std::fabs(Tb-Ta);
92 while (fTa*fTb > 0.0 && iterations++ < 10) { << 93 fTb = this->operator()(Tb);
93 Tb += 2.*std::fabs(Tb-Ta); << 94 }
94 fTb = this->operator()(Tb); <<
95 } <<
96 95
97 if (fTa*fTb > 0.0) { << 96 if (fTa*fTb > 0.0) {
98 G4cerr <<"G4StatMFMacroTemperature:"<<" Ta << 97 G4cerr <<"G4StatMFMacroTemperature:"<<" Ta="<<Ta<<" Tb="<<Tb<< G4endl;
99 G4cerr <<"G4StatMFMacroTemperature:"<<" fT << 98 G4cerr <<"G4StatMFMacroTemperature:"<<" fTa="<<fTa<<" fTb="<<fTb<< G4endl;
100 throw G4HadronicException(__FILE__, __LINE << 99 throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroTemperature::CalcTemperature: I couldn't bracket the solution.");
101 } << 100 }
102 <<
103 G4Solver<G4StatMFMacroTemperature> * theSolv <<
104 new G4Solver<G4StatMFMacroTemperature>(100 <<
105 theSolver->SetIntervalLimits(Ta,Tb); <<
106 if (!theSolver->Crenshaw(*this)){ <<
107 G4cout <<"G4StatMFMacroTemperature, Crensh <<
108 <<Ta<<" Tb="<<Tb<< G4endl; <<
109 G4cout <<"G4StatMFMacroTemperature, Crensh <<
110 <<fTa<<" fTb="<<fTb<< G4endl; <<
111 } <<
112 _MeanTemperature = theSolver->GetRoot(); <<
113 G4double FunctionValureAtRoot = this->opera <<
114 delete theSolver; <<
115 <<
116 // Verify if the root is found and it is ind <<
117 // say, between 1 and 50 MeV, otherwise try <<
118 if (std::fabs(FunctionValureAtRoot) > 5.e-2) <<
119 if (_MeanTemperature < 1. || _MeanTemperat <<
120 G4cout << "Crenshaw method failed; funct <<
121 << " solution? = " << _MeanTemperature <<
122 G4Solver<G4StatMFMacroTemperature> * the <<
123 new G4Solver<G4StatMFMacroTemperature>(200,1 <<
124 theSolverBrent->SetIntervalLimits(Ta,Tb) <<
125 if (!theSolverBrent->Brent(*this)){ <<
126 G4cout <<"G4StatMFMacroTemperature, Brent me <<
127 <<" Ta="<<Ta<<" Tb="<<Tb<< G4endl; <<
128 G4cout <<"G4StatMFMacroTemperature, Brent me <<
129 <<" fTa="<<fTa<<" fTb="<<fTb<< G4endl <<
130 throw G4HadronicException(__FILE__, __LINE__ <<
131 } <<
132 101
133 _MeanTemperature = theSolverBrent->GetRo << 102 G4Solver<G4StatMFMacroTemperature> * theSolver = new G4Solver<G4StatMFMacroTemperature>(100,1.e-4);
134 FunctionValureAtRoot = this->operator() << 103 theSolver->SetIntervalLimits(Ta,Tb);
135 delete theSolverBrent; << 104 if (!theSolver->Crenshaw(*this)){
>> 105 G4cout <<"G4StatMFMacroTemperature, Crenshaw method failed:"<<" Ta="<<Ta<<" Tb="<<Tb<< G4endl;
>> 106 G4cout <<"G4StatMFMacroTemperature, Crenshaw method failed:"<<" fTa="<<fTa<<" fTb="<<fTb<< G4endl;
136 } 107 }
137 if (std::abs(FunctionValureAtRoot) > 5.e-2 << 108 _MeanTemperature = theSolver->GetRoot();
138 G4cout << "Brent method failed; function << 109 G4double FunctionValureAtRoot = this->operator()(_MeanTemperature);
139 << " solution? = " << _MeanTemperature << 110 delete theSolver;
140 throw G4HadronicException(__FILE__, __LI << 111
>> 112 // Verify if the root is found and it is indeed within the physical domain,
>> 113 // say, between 1 and 50 MeV, otherwise try Brent method:
>> 114 if (std::fabs(FunctionValureAtRoot) > 5.e-2) {
>> 115 if (_MeanTemperature < 1. || _MeanTemperature > 50.) {
>> 116 G4cout << "Crenshaw method failed; function = " << FunctionValureAtRoot
>> 117 << " solution? = " << _MeanTemperature << " MeV " << G4endl;
>> 118 G4Solver<G4StatMFMacroTemperature> * theSolverBrent = new G4Solver<G4StatMFMacroTemperature>(200,1.e-3);
>> 119 theSolverBrent->SetIntervalLimits(Ta,Tb);
>> 120 if (!theSolverBrent->Brent(*this)){
>> 121 G4cout <<"G4StatMFMacroTemperature, Brent method failed:"<<" Ta="<<Ta<<" Tb="<<Tb<< G4endl;
>> 122 G4cout <<"G4StatMFMacroTemperature, Brent method failed:"<<" fTa="<<fTa<<" fTb="<<fTb<< G4endl;
>> 123 throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroTemperature::CalcTemperature: I couldn't find the root with any method.");
>> 124 }
>> 125
>> 126 _MeanTemperature = theSolverBrent->GetRoot();
>> 127 FunctionValureAtRoot = this->operator()(_MeanTemperature);
>> 128 delete theSolverBrent;
>> 129 }
>> 130 if (std::abs(FunctionValureAtRoot) > 5.e-2) {
>> 131 //if (_MeanTemperature < 1. || _MeanTemperature > 50. || std::abs(FunctionValureAtRoot) > 5.e-2) {
>> 132 G4cout << "Brent method failed; function = " << FunctionValureAtRoot << " solution? = " << _MeanTemperature << " MeV " << G4endl;
>> 133 throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroTemperature::CalcTemperature: I couldn't find the root with any method.");
>> 134 }
141 } 135 }
142 } << 136 //G4cout << "G4StatMFMacroTemperature::CalcTemperature: function = " << FunctionValureAtRoot
143 //G4cout << "G4StatMFMacroTemperature::CalcT << 137 // << " T(MeV)= " << _MeanTemperature << G4endl;
144 //<< FunctionValureAtRoot << 138 return _MeanTemperature;
145 // << " T(MeV)= " << _MeanTemperature << <<
146 return _MeanTemperature; <<
147 } 139 }
148 140
>> 141
>> 142
149 G4double G4StatMFMacroTemperature::FragsExcitE 143 G4double G4StatMFMacroTemperature::FragsExcitEnergy(const G4double T)
150 // Calculates excitation energy per nucleon an << 144 // Calculates excitation energy per nucleon and summed fragment multiplicity and entropy
151 // multiplicity and entropy <<
152 { 145 {
153 // Model Parameters << 146
154 G4Pow* g4calc = G4Pow::GetInstance(); << 147 // Model Parameters
155 G4double R0 = G4StatMFParameters::Getr0()*g4 << 148 G4double R0 = G4StatMFParameters::Getr0()*std::pow(theA,1./3.);
156 G4double R = R0*g4calc->A13(1.0+G4StatMFPara << 149 G4double R = R0*std::pow(1.0+G4StatMFParameters::GetKappaCoulomb(), 1./3.);
157 G4double FreeVol = _Kappa*(4.*pi/3.)*R0*R0*R << 150 G4double FreeVol = _Kappa*(4.*pi/3.)*R0*R0*R0;
158 151
159 // Calculate Chemical potentials << 152
160 CalcChemicalPotentialNu(T); << 153 // Calculate Chemical potentials
>> 154 CalcChemicalPotentialNu(T);
161 155
162 156
163 // Average total fragment energy << 157 // Average total fragment energy
164 G4double AverageEnergy = 0.0; << 158 G4double AverageEnergy = 0.0;
165 std::vector<G4VStatMFMacroCluster*>::iterato << 159 std::vector<G4VStatMFMacroCluster*>::iterator i;
166 for (i = _theClusters->begin(); i != _theCl << 160 for (i = _theClusters->begin(); i != _theClusters->end(); ++i)
167 { << 161 {
168 AverageEnergy += (*i)->GetMeanMultiplici << 162 AverageEnergy += (*i)->GetMeanMultiplicity() * (*i)->CalcEnergy(T);
169 } << 163 }
170 164
171 // Add Coulomb energy << 165 // Add Coulomb energy
172 AverageEnergy += 0.6*elm_coupling*theZ*theZ/ << 166 AverageEnergy += (3./5.)*elm_coupling*theZ*theZ/R;
173 167
174 // Calculate mean entropy << 168 // Calculate mean entropy
175 _MeanEntropy = 0.0; << 169 _MeanEntropy = 0.0;
176 for (i = _theClusters->begin(); i != _theClu << 170 for (i = _theClusters->begin(); i != _theClusters->end(); ++i)
177 { << 171 {
178 _MeanEntropy += (*i)->CalcEntropy(T,Free << 172 _MeanEntropy += (*i)->CalcEntropy(T,FreeVol);
179 } << 173 }
>> 174
>> 175 // Excitation energy per nucleon
>> 176 return AverageEnergy - _FreeInternalE0;
180 177
181 // Excitation energy per nucleon <<
182 return AverageEnergy - _FreeInternalE0; <<
183 } 178 }
184 179
>> 180
185 void G4StatMFMacroTemperature::CalcChemicalPot 181 void G4StatMFMacroTemperature::CalcChemicalPotentialNu(const G4double T)
186 // Calculates the chemical potential \nu << 182 // Calculates the chemical potential \nu
>> 183
187 { 184 {
188 G4StatMFMacroChemicalPotential * theChemPot << 185 G4StatMFMacroChemicalPotential * theChemPot = new
189 G4StatMFMacroChemicalPotential(theA,theZ,_ << 186 G4StatMFMacroChemicalPotential(theA,theZ,_Kappa,T,_theClusters);
>> 187
190 188
191 _ChemPotentialNu = theChemPot->CalcChemicalP << 189 _ChemPotentialNu = theChemPot->CalcChemicalPotentialNu();
192 _ChemPotentialMu = theChemPot->GetChemicalPo << 190 _ChemPotentialMu = theChemPot->GetChemicalPotentialMu();
193 _MeanMultiplicity = theChemPot->GetMeanMulti << 191 _MeanMultiplicity = theChemPot->GetMeanMultiplicity();
194 delete theChemPot; << 192
>> 193 delete theChemPot;
195 194
196 return; << 195 return;
>> 196
197 } 197 }
198 198
199 199
200 200