Correspondence between DBI-essence and Modified Chaplygin Gas and the Generalized Second Law of Thermodynamics

TL;DR

This paper explores the dynamics of DBI-essence dark energy in a FRW universe, establishing a correspondence with modified Chaplygin gas, and examines the validity of the generalized second law of thermodynamics within these models.

Contribution

It provides exact solutions for the DBI-essence model, reconstructs potential and brane tension from MCG, and analyzes thermodynamic law validity in these contexts.

Findings

DBI scalar field and potential increase over cosmic evolution

Warped brane tension decreases during evolution

GSL breaks down for DBI-essence but holds for MCG

Abstract

In this work, we have considered the DBI-essence dark energy model in FRW Universe. We have found the exact solutions of potential, warped brane tension and DBI scalar field. We also calculate the statefinder parameters for our model that make it distinguishable among numerous dark energy models. Moreover, we establish correspondence between DBI-essence and modified Chaplygin gas (MCG) and hence reconstruct the potential and warped brane tension. By this reconstruction, we observe that DBI scalar field and potential increase and warped brane tension decreases during evolution of the Universe. Finally, we investigate the validity of the generalized second law (GSL) of thermodynamics in the presence of DBI-essence and modified Chaplygin gas. It is observed that the GSL breaks down for DBI-essence model but GSL always satisfied for MCG model.