Self-consistent thermodynamical treatment for quark matter in quasi-particle model at finite temperature

TL;DR

This paper develops a self-consistent thermodynamic framework for quark matter in a quasi-particle model, incorporating medium effects, temperature, and vector interactions, and compares results with observational constraints.

Contribution

It introduces a thermodynamically consistent method for modeling quark matter with temperature-dependent masses and vector interactions within a quasi-particle framework.

Findings

Equation of state is affected by temperature and lepton fraction.

Mass-radius relations are consistent with observational data.

Speed of sound and particle fractions are analyzed at finite temperature.

Abstract

In this work, we have studied the medium effects in strange quark matter in the framework of a grand-canonical ensemble using the phenomenological quasi-particle model. This model is studied with proper self-consistent thermodynamical treatment by incorporating chemical potential-dependent quark mass. We have also included the vector interaction in a self-consistent way. The main aim of this work is to explore the proper thermodynamic treatment in addressing the medium effects at both zero and finite temperatures. In the case of the finite temperature, we explore the study of self-consistent thermodynamics in the isothermal as well as the isentropic processes. The effect of finite temperature and lepton fraction have been studied on the equation of state, speed of sound, and particle fraction. The $M-R$ and $M-\Lambda$ diagrams are found to be consistent with the observational constraints.