Cosmological FLRW phase transitions and micro-structure under Kaniadakis statistics

Abstract

This article is devoted to the study of the thermodynamics phase transitions and critical phenomena of an FLRW cosmological model under the so-called Kaniadakis's statistics. The equation of state is derived from the corrected Friedmann field equations and the thermodynamics unified first law. This reveals the existence of non-trivial critical points where a first-order phase transition takes place. The system behaves as an "inverted" van der Waals fluid in this concern. Interestingly, the numerical values of the critical exponents are the same as those of the van der Waals system. Besides, to obtain more insights into the thermodynamics description, the so-called Ruppeiner's geometry is studied through the normalized scalar curvature, disclosing this invariant zone where the system undergoes repulsive/attractive interactions. Near the critical point, this curvature provides again the same critical exponent and universal constant value as for van der Waals fluid.

11 pages, 4 figures. Accepted version at Physics Letter B

References in corpus (12)

• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Early and late universe holographic cosmology from a new generalized entropy
• Generalized entropies and corresponding holographic dark energy models
• Gravity with a generalized conformal scalar field: Theory and solutions
• Cosmological apparent and trapping horizons
• Slow-roll inflation and growth of perturbations in Kaniadakis modification of Friedmann cosmology
• An Inflationary Non-singular Quantum Cosmological Model
• Tsallis and Kaniadakis statistics from the viewpoint of entropic gravity formalism
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Holographic Space-time from the Big Bang to the de Sitter era
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• Thermodynamics of a transient phantom scenario

Cited by in corpus (4)

• Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects
• Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Revealing some cosmological aspects of Kaniadakis entropy