Landau's statistical mechanics for quasiparticle models

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.