Thermodynamics second law and $\omega=-1$ crossing(s) in interacting holographic dark energy model

TL;DR

This paper investigates the conditions under which the equation of state parameter crosses -1 in an interacting holographic dark energy model, analyzing thermodynamic constraints and their implications for cosmic evolution.

Contribution

It demonstrates that the second law of thermodynamics allows for  crossing in specific scenarios, providing insights into dark energy behavior and singularity avoidance.

Findings

Crossing  is possible with suitable horizon and interaction choices.

Transition from quintessence to phantom and back can occur without big rip.

Parameter tuning can help address the coincidence problem.

Abstract

By the assumption that the thermodynamics second law is valid, we study the possibility of $\omega=-1$ crossing in interacting holographic dark energy model. Depending on the choice of the horizon and the interaction, the transition from quintessence to phantom regime and subsequently from phantom to quintessence phase may be possible. The second transition avoids the big rip singularity. We compute the dark energy density at transition time and show that by choosing appropriate parameters we can alleviate the coincidence problem.