Entropy puzzle and the quark combination model

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...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2010-05, Vol.81 (5), Article 057901
Main Authors: Song, Jun, Liang, Zuo-tang, Liu, Yu-xin, Shao, Feng-lan, Wang, Qun
Format: Article
Language:English
Subjects:
COMPOSITE MODELS
DISTRIBUTION
ELEMENTARY PARTICLES
ENTROPY
EXPANSION
HADRONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
NUCLEAR PHYSICS AND RADIATION PHYSICS
PARTICLE MODELS
PHASE SPACE
PHYSICAL PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARK MODEL
SPACE
THERMODYNAMIC PROPERTIES
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Summary: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.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.81.057901