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Thermodynamic inconsistency in quasiparticle model - a revisit

Widely studied quasiparticle models for quark gluon plasma is revisited here to understand the statistical mechanics and thermodynamics of the system. We investigate the statistical mechanics and thermodynamics inconsistencies involved in these models and their consequences in the observables. Quasiparticle model is a phenomenological model with few parameters and by adjusting them all models fit the results of lattice gauge simulation of gluon plasma \cite{bo.1}. However, after fixing 2 of the 3 parameters of the model by physical arguments, only one quasiparticle model, which is consistent with both statistical mechanics and thermodynamics, fits the Bielefeld lattice data \cite{bo.1}. The same model also fits the recent lattice results of Wuppertal-Budapest group \cite{fo.1}, which deals with precision SU(3) thermodynamics for a large temperature range, reasonably well.