Statefinder Diagnostic for Quintessence with or without Thermal Interaction

TL;DR

This paper uses statefinder diagnostics to analyze how thermal interactions in quintessence models influence cosmic evolution, revealing unique features like closed loops in the diagnostic plane.

Contribution

It introduces a statefinder diagnostic approach to study thermal coupling effects in quintessence dark energy models, highlighting their impact on evolution trajectories.

Findings

Thermal coupling affects the evolution of statefinder parameters.

The $r-s$ plane can form closed loops in thermal coupling models.

Late-time attractor locations are unaffected by thermal interactions.

Abstract

The cosmological dynamics of minimally coupled scalar field that couples to the background matter with thermal interactions is investigated by using statefinder diagnostics. The time evolution of the statefinder pairs $\{r,s\}$ and $\{r,q\}$ are obtained under the circumstance that different values of model parameters are chosen. We show that the thermal coupling term does not affect the location of the late-time attractor, but exert an influence on the evolution of the statefinder parameters. The most notable feature of the $r-s$ plane for the thermal coupling model which is distinguished from the other dark energy models is that some part of the curve with thermal coupling can form a closed loop in the second quadrant ($r>1,s<0$).