Thermodynamics in Closed Universe with Entropy Corrections

TL;DR

This paper investigates the validity of the generalized second law of thermodynamics in a closed universe considering quantum entropy corrections, analyzing black hole accretion and multi-component fluid systems.

Contribution

It introduces the analysis of entropy corrections in thermodynamics laws within a closed universe, including black hole accretion and multi-fluid cosmological models.

Findings

The second law holds within specific bounds during black hole accretion.

Conditions for the law's validity depend on the type of fluid and horizon considered.

Entropy corrections influence thermodynamic behavior in cosmological scenarios.

Abstract

We discuss the generalized second law of thermodynamics in three different systems by taking quantum corrections (logarithmic and power law) to cosmological horizon entropy as well as black hole entropy. Firstly, we consider phantom energy accretion onto the Schwarzschild black hole in the closed FRW universe and investigate validity of the generalized second law of thermodynamics on the apparent and event horizons. In another scenario, we evaluate the critical mass of the Schwarzschild black hole with upper and lower bounds under accretion process due to phantom-like modified generalized chaplygin gas. It is found that the generalized second law of thermodynamics is respected within these bounds and black hole cannot accrete outside them. Finally, we explore this law for a closed universe filled with interacting $n$-components of fluid (in thermal equilibrium case) and with non-interacting dark matter and dark energy components (in thermal non-equilibrium case) on the apparent and event horizons and find conditions for its validity.