Interacting entropy-corrected holographic dark energy with apparent horizon as an infrared cutoff

TL;DR

This paper explores entropy-corrected interacting holographic dark energy models with apparent horizon as IR cutoff, analyzing their cosmological implications, thermodynamics, and conditions for accelerated expansion in a non-flat universe.

Contribution

It introduces entropy corrections to holographic dark energy models with apparent horizon as IR cutoff and studies their effects on cosmic acceleration and thermodynamics.

Findings

Cosmic coincidence is satisfied in both models.

Interaction can lead to crossing the phantom divide.

Models can drive acceleration at present and future epochs.

Abstract

In this work we consider the entropy-corrected version of interacting holographic dark energy (HDE), in the non-flat universe enclosed by apparent horizon. Two corrections of entropy so-called logarithmic 'LEC' and power-law 'PLEC' in HDE model with apparent horizon as an IR-cutoff are studied. The ratio of dark matter to dark energy densities $u$, equation of state parameter $w_D$ and deceleration parameter $q$ are obtained. We show that the cosmic coincidence is satisfied for both interacting models. By studying the effect of interaction in EoS parameter, we see that the phantom divide may be crossed and also find that the interacting models can drive an acceleration expansion at the present and future, while in non-interacting case, this expansion can happen only at the early time. The graphs of deceleration parameter for interacting models, show that the present acceleration expansion is preceded by a sufficiently long period deceleration at past. Moreover, the thermodynamical interpretation of interaction between LECHDE and dark matter is described. We obtain a relation between the interaction term of dark components and thermal fluctuation in a non-flat universe, bounded by the apparent horizon. In limiting case, for ordinary HDE, the relation of interaction term versus thermal fluctuation is also calculated.