G4StatMFMacroMultiplicity.cc

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// $Id$
//
// Hadronic Process: Nuclear De-excitations
// by V. Lara
//
// Modified:
// 25.07.08 I.Pshenichnov (in collaboration with Alexander Botvina and Igor 
//          Mishustin (FIAS, Frankfurt, INR, Moscow and Kurchatov Institute, 
//          Moscow, pshenich@fias.uni-frankfurt.de) additional checks in
//          solver of equation for the chemical potential

#include "G4StatMFMacroMultiplicity.hh"
#include "G4PhysicalConstants.hh"

// operators definitions
G4StatMFMacroMultiplicity & 
G4StatMFMacroMultiplicity::operator=(const G4StatMFMacroMultiplicity & ) 
{
    throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroMultiplicity::operator= meant to not be accessable");
    return *this;
}

G4bool G4StatMFMacroMultiplicity::operator==(const G4StatMFMacroMultiplicity & ) const 
{
    throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroMultiplicity::operator== meant to not be accessable");
    return false;
}


G4bool G4StatMFMacroMultiplicity::operator!=(const G4StatMFMacroMultiplicity & ) const 
{
    throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroMultiplicity::operator!= meant to not be accessable");
    return true;
}




G4double G4StatMFMacroMultiplicity::CalcChemicalPotentialMu(void) 
    //  Calculate Chemical potential \mu
    // For that is necesary to calculate mean multiplicities
{
    G4double CP = ((3./5.)*elm_coupling/G4StatMFParameters::Getr0())*
    (1.0-1.0/std::pow(1.0+G4StatMFParameters::GetKappaCoulomb(),1.0/3.0));

    // starting value for chemical potential \mu
    // it is the derivative of F(T,V)-\nu*Z w.r.t. Af in Af=5
    G4double ZA5 = _theClusters->operator[](4)->GetZARatio();
    G4double ILD5 = _theClusters->operator[](4)->GetInvLevelDensity();
    _ChemPotentialMu = -G4StatMFParameters::GetE0()-
    _MeanTemperature*_MeanTemperature/ILD5 -
    _ChemPotentialNu*ZA5 + 
    G4StatMFParameters::GetGamma0()*(1.0-2.0*ZA5)*(1.0-2.0*ZA5) +
    (2.0/3.0)*G4StatMFParameters::Beta(_MeanTemperature)/std::pow(5.,1./3.) +
    (5.0/3.0)*CP*ZA5*ZA5*std::pow(5.,2./3.) -
    1.5*_MeanTemperature/5.0;
        


    G4double ChemPa = _ChemPotentialMu;
    if (ChemPa/_MeanTemperature > 10.0) ChemPa = 10.0*_MeanTemperature;
    G4double ChemPb = ChemPa - 0.5*std::abs(ChemPa);
    
    
    G4double fChemPa = this->operator()(ChemPa); 
    G4double fChemPb = this->operator()(ChemPb); 
    

    // Set the precision level for locating the root. 
    // If the root is inside this interval, then it's done! 
    G4double intervalWidth = 1.e-4;

    // bracketing the solution
    G4int iterations = 0;
    while (fChemPa*fChemPb > 0.0 && iterations < 100) 
    {
    if (std::abs(fChemPa) <= std::abs(fChemPb)) 
    {
        ChemPa += 0.6*(ChemPa-ChemPb);
        fChemPa = this->operator()(ChemPa);
            iterations++;
    } 
    else 
    {
        ChemPb += 0.6*(ChemPb-ChemPa);
        fChemPb = this->operator()(ChemPb);
            iterations++;
    }
    }

    if (fChemPa*fChemPb > 0.0) // the bracketing failed, complain 
    {
      G4cerr <<"G4StatMFMacroMultiplicity:"<<" ChemPa="<<ChemPa<<" ChemPb="<<ChemPb<< G4endl;
      G4cerr <<"G4StatMFMacroMultiplicity:"<<" fChemPa="<<fChemPa<<" fChemPb="<<fChemPb<< G4endl;
    throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroMultiplicity::CalcChemicalPotentialMu: I couldn't bracket the root.");
    }
    else if (fChemPa*fChemPb < 0.0 && std::abs(ChemPa-ChemPb) > intervalWidth) // the bracketing was OK, try to locate the root
    {   
    G4Solver<G4StatMFMacroMultiplicity> * theSolver = new G4Solver<G4StatMFMacroMultiplicity>(100,intervalWidth);
    theSolver->SetIntervalLimits(ChemPa,ChemPb);
    //    if (!theSolver->Crenshaw(*this)) 
    if (!theSolver->Brent(*this)) 
    {
      G4cerr <<"G4StatMFMacroMultiplicity:"<<" ChemPa="<<ChemPa<<" ChemPb="<<ChemPb<< G4endl;
      G4cerr <<"G4StatMFMacroMultiplicity:"<<" fChemPa="<<fChemPa<<" fChemPb="<<fChemPb<< G4endl;
    throw G4HadronicException(__FILE__, __LINE__, "G4StatMFMacroMultiplicity::CalcChemicalPotentialMu: I couldn't find the root.");
    }
    _ChemPotentialMu = theSolver->GetRoot();
    delete theSolver;
    }
    else // the root is within the interval, which is shorter then the precision level - all done 
    {
     _ChemPotentialMu = ChemPa;
    }

    return _ChemPotentialMu;
}



G4double G4StatMFMacroMultiplicity::CalcMeanA(const G4double mu)
{
  G4double r03 = G4StatMFParameters::Getr0(); r03 *= r03*r03;
  G4double V0 = (4.0/3.0)*pi*theA*r03;

  G4double MeanA = 0.0;
    
  _MeanMultiplicity = 0.0;
    
 
  G4int n = 1;
 for (std::vector<G4VStatMFMacroCluster*>::iterator i = _theClusters->begin(); 
      i != _theClusters->end(); ++i) 
   {
     G4double multip = (*i)->CalcMeanMultiplicity(V0*_Kappa,mu,_ChemPotentialNu,_MeanTemperature);
     MeanA += multip*static_cast<G4double>(n++);
     _MeanMultiplicity += multip;
   }

  return MeanA;
}