Entropy in Loop Quantum Cosmology

TL;DR

This paper investigates the validity of thermodynamic laws in effective Loop Quantum Cosmology models, analyzing entropy functions, conditions for the GSL, and the implications of logarithmic corrections and negative temperatures.

Contribution

It provides a detailed analysis of the Generalized Second Law in Loop Quantum Cosmology, including conditions for its validity with various entropy corrections and negative temperatures.

Findings

GSL validity depends on specific entropy functions and correction factors.

Logarithmic corrections influence the regions where thermodynamic laws hold.

Negative temperatures can be compatible with generalized second law under certain conditions.

Abstract

The Generalized First Law (GFL) and the Generalized Second Law (GSL) of thermodynamics are searched for effective and alternative cosmic models using the entropy as a function of the apparent area, transforming the effective cosmological model into the standard form in cosmology. The general conditions of the GSL validity are analyzed for the entropy as a general function and for logarithmic corrections to the usual Black Hole entropy. In particular, we study the GFL and the regions where the GSL is valid for an effective Loop Quantum Cosmology model with spatially flat curvature taking every possible value of the logarithmic correction factor. In addition, we explore the possibility of having negative temperature, where the validity conditions for an alternative generalized second law (AGSL) are studied.