Self-consistent thermodynamical treatment for quark matter in a quasiparticle model at finite temperature

In this work, we have studied the medium effects in strange quark matter in the framework of a grand-canonical ensemble using the phenomenological quasiparticle 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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>M</a:mi><a:mtext>−</a:mtext><a:mi>R</a:mi></a:mrow></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>M</c:mi><c:mtext>−</c:mtext><c:mi mathvariant="normal">Λ</c:mi></c:math> diagrams are found to be consistent with the observational constraints. Published by the American Physical Society 2024