The entropy puzzle and the quark combination model

Abstract

We use two available methods, the Duhem-Gibbs relation and the entropy formula in terms of particle phase space distributions, to calculate the entropy in a quark combination model. The entropy of the system extracted from the Duhem-Gibbs relation is found to increase in hadronization if the average temperature of the hadronic phase is lower than that of the quark phase. The increase of the entropy can also be confirmed from the entropy formula if the volume of the hadronic phase is larger than 2.5-3.0 times that of the quark phase. So whether the entropy increases or decreases during combination depends on the temperature before and after combination and on how much expansion the system undergoes during combination. The current study provides an example to shed light on the entropy issue in the quark combination model.

RevTex 4, 4 pages, 2 tables, 4 figures, discussions and references added, to appear in PRC

References in corpus (3)

• Shear-Viscosity to Entropy Density Ratio of a Relativistic Hadron Gas
• Hadron production by quark combination in central Pb+Pb collisions at $\sqrt{s_{NN}}=17.3$ GeV
• Rapidity dependence of hadron production in central Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV

Cited by in corpus (7)

• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Interface Tension and Interface Entropy in 2+1 Flavour Nambu-Jona-Lasino Model
• Baryon-antibaryon production asymmetry in relativistic heavy ion collisions
• Hadronic Rapidity Spectra in Heavy Ion Collisions at SPS and AGS energies in a Quark Combination Model
• Hadronization effects on the baryon-strangeness correlation in quark combination models
• Multiplicity fluctuation and correlation of identified baryons in quark combination model
• Statistical method in quark combination model