Landau's statistical mechanics for quasiparticle models

TL;DR

This paper applies Landau's statistical mechanics formalism to quasiparticle models of quark-gluon plasma, demonstrating its consistency with thermodynamics and connecting it with existing approaches in the field.

Contribution

It extends Landau's formalism to quasiparticle models of quark-gluon plasma, showing its consistency and relation to previous formalisms.

Findings

Landau's formalism is consistent with thermodynamics for quasiparticle models.

The formalism recovers other quasiparticle formalisms under certain conditions.

The approach unifies different theoretical descriptions of quark-gluon plasma.

Abstract

Landau's formalism of statistical mechanics \cite{la.1} is applied to the quasiparticle model of quark gluon plasma. It is a general formalism and consistent with our earlier studies \cite{ba.1} based on Pathria's formalism \cite{pa.1}. Both the formalism are consistent with thermodynamics and statistical mechanics. Under certain conditions, which are wrongly called thermodynamic consistent relation, we recover other formalism of quasiparticle system \cite{go.1}, widely studied in quark gluon plasma.