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

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=(ϒρ/1-βρ)-αρ2, 0≤ϒ<1 , where ρ stands for energy density and Ρ 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

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Volume 1, Issue 1
November 2021
Pages 71-83
  • Receive Date: 28 August 2021
  • Revise Date: 03 October 2021
  • Accept Date: 10 October 2021