Statefinder and Om Diagnostics for Interacting New Holographic Dark Energy Model and Generalized Second Law of Thermodynamics

TL;DR

This paper investigates the dynamics of an interacting holographic dark energy model in a flat universe, analyzing thermodynamic laws and diagnostic tools like statefinder and Om, revealing violations of the first law on the event horizon and the validity of the second law on the apparent horizon.

Contribution

It introduces a detailed analysis of thermodynamic laws and diagnostic parameters in an interacting holographic dark energy model within a flat universe.

Findings

First law violated on the event horizon.

Generalized second law valid on the apparent horizon.

Second law breaks down on the event horizon except at late times.

Abstract

In this work, we have considered that the flat FRW universe is filled with the mixture of dark matter and the new holographic dark energy. If there is an interaction, we have investigated the natures of deceleration parameter, statefinder and $Om$ diagnostics. We have examined the validity of the first and generalized second laws of thermodynamics under these interactions on the event as well as apparent horizon. It has been observed that the first law is violated on the event horizon. However, the generalized second law is valid throughout the evolution of the universe enveloped by the apparent horizon. When the event horizon is considered as the enveloping horizon, the generalized second law is found to break down excepting at late stage of the universe.