Generalized Second Law of Thermodynamics for Non-canonical Scalar Field Model with Corrected-Entropy

TL;DR

This paper investigates the validity of the generalized second law of thermodynamics in a non-canonical scalar field dark energy model with interactions, considering entropy corrections and different cosmological horizons.

Contribution

It introduces a detailed analysis of GSL validity in an interacting non-canonical scalar field model with entropy corrections on multiple horizons.

Findings

GSL holds under certain parameter restrictions on apparent horizon.

GSL validity depends on the type of entropy correction applied.

Results vary between apparent and event horizons.

Abstract

In this work, we have considered a non-canonical scalar field dark energy model in the framework of flat FRW background. It has also been assumed that the dark matter sector interacts with the non-canonical dark energy sector through some interaction term. Using the solutions for this interacting non-canonical scalar field dark energy model, we have investigated the validity of generalized second law (GSL) of thermodynamics in various scenarios using first law and area law of thermodynamics. For this purpose, we have assumed two types of horizons viz apparent horizon and event horizon for the universe and using first law of thermodynamics, we have examined the validity of GSL on both apparent and event horizons. Next, we have considered two types of entropy-corrections on apparent and event horizons. Using the modified area law, we have examined the validity of GSL of thermodynamics on apparent and event horizons under some restrictions of model parameters.