Holographic application in cosmology: Thermodynamics of the Van der Waals cosmic fluid

Document Type : Regular article

Authors

1 Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711 103, India.

2 Department of Mathematics, Techno India Salt Lake, Sector-V, Kolkata-700 091, India.

3 Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, India

10.22128/jhap.2021.453.1003

Abstract

This paper is devoted to investigate the thermodynamic stability
of a generic cosmological fluid known as Van der Waals fluid in
the context of flat FRW universe. It is treated as a perfect fluid
that obeys the equation of state
$P=frac{gammarho}{1-betarho}-alpharho^{2}, 0leqgamma<1$,
where $rho$ stands for energy density and $P$ stands for pressure
of the fluid. In this regard, we discuss the behavior of physical
parameters to analyze the evolution of the universe. We
investigate whether the cosmological scenario fulfills the third
law of thermodynamics using specific heat formalism. Next we
discuss the thermal equation of state and by means of adiabatic,
specific heat and isothermal conditions from classical
thermodynamics we examine the thermal stability.

Keywords