Abstract

In this paper, we discuss the validity of the generalized second law of thermodynamics in the presence of a multi-component scalar field () in a spatially flat Friedmann-Robertson-Walker (FRW) universe. We describe the first-order formalism by defining the Hubble parameter as . By using three super-potential models of the Hubble parameter, we analyze the validity of the generalized law and thermal equilibrium conditions in the presence of the logarithmically-corrected, Bekenstein-Hawking, Sharma-Mittal and entropies. It is noticed that the generalized law and thermal equilibrium conditions hold for some cases.

Highlights

  • In cosmology, many authors have considered the significance of the scalar field

  • A question arises about the thermodynamical behavior of the universe experiencing accelerated expansion, in particular, what is the fate of generalized second law of thermodynamics (GSLT) in this scenario? We provide a review of GSLT for a system containing a black hole (BH)

  • We study the validity of GSLT of the multiquintessence at Hubble horizon for a flat FRW universe

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Summary

Introduction

Many authors have considered the significance of the scalar field. To clarify the cosmic acceleration it may be connected to inflation which occurred in the early universe or as a dark energy (DE) candidate like quintessence [1,2,3]. Yang et al [40] considered different quintessence scalar field models and they found that for the early deceleration phase to the present cosmic acceleration all models carry out fine transition. Lymperis and Saridakis [42] utilized the tsallis entropy and through the application of the first law of thermodynamics (FLT) they constructed several cosmological scenarios They showed that with the sequence of DE span and, depending on the value of the parameter of DE equation of state δ, during the evolution, experience the phantom-divide crossing and can be quintessence or phantom-like. Bamba et al [44] studied the GSLT in apparent and future event horizon in f ( T ) gravity They showed the conditions of the quintessence and phantom epoch in particular scenario by which GSLT will be valid.

First-Order Formalism of Multi-Quintessence Scenario
Model 2
Model 3
GSLT and Thermal Equilibrium Condition
Sharma-Mittal Entropy
Logarithmic Corrected Entropy
Rényi Entropy
Summary

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