Consistent Thermodynamics for Quasiparticle Boson System with Zero Chemical Potential

Abstract

The thermodynamic consistency of quasiparticle boson system with effective mass $m^{\ast }$ and zero chemical potential is studied. We take the quasiparticle gluon plasma model as a toy model. The failure of previous treatments based on traditional partial derivative is addressed. We show that a consistent thermodynamic treatment can be applied to such boson system provided that a new degree of freedom $m^{\ast }$ is introduced in the partial derivative calculation. A pressure modification term different from the vacuum contribution is derived based on the new independent variable $m^{\ast }$. A complete and self-consistent thermodynamic treatment for quasiparticle system, which can be widely applied to effective mass models, has been constructed.

Comments: 21 pages, 10 figures (the description to the model is modified, accepted by Int.J.Mod.Phys.A)