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Kaniadakis entropy is a one-parameter deformation of the classical Boltzmann-Gibbs-Shannon entropy, arising from a self-consistent relativistic statistical theory. Assuming a Kaniadakis-type generalization of the entropy associated with the…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Gaetano Lambiase , Giuseppe Gaetano Luciano , Ahmad Sheykhi

In this paper, we study the phase structure and equilibrium state space geometry of charged topological Gauss-Bonnet black holes in $d$-dimensional anti-de Sitter spacetime. Several critical points are obtained in the canonical ensemble,…

General Relativity and Quantum Cosmology · Physics 2013-02-12 Shao-Wen Wei , Yu-Xiao Liu

A FRWL cosmological model with perfect fluid comprising of van der Waals gas and dust has been studied in the context of dynamical analysis of a three-component autonomous non-linear dynamical system for the particle number density $n$, the…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Rossen I. Ivanov , Emil M. Prodanov

The van der Waals (VDW) equation of state predicts the existence of a first-order liquid-gas phase transition and contains a critical point. The VDW equation with Fermi statistics is applied to a description of the nuclear matter. The…

Nuclear Theory · Physics 2015-11-09 V. Vovchenko , D. V. Anchishkin , M. I. Gorenstein , R. V. Poberezhnyuk

Differential geometry is powerful tool to analyze the vapor-liquid critical point on the surface of the thermodynamic equation of state. The existence of usual condition of the critical point $\left( \partial p/\partial V\right) _{T}=0$…

Statistical Mechanics · Physics 2022-05-06 J. S. Yu , X. Zhou , J. F. Chen , W. K. Du , X. Wang , Q. H. Liu

We present a Friedmann-Robertson-Walker (FRW) quantum cosmological model within the framework of Finslerian geometry. In this work, we consider a specific fluid. We obtain the corresponding Wheeler-DeWitt equation as the usual constraint…

General Physics · Physics 2019-11-04 S S De , Farook Rahaman , Nupur Paul

We make a first principle study of gravitational pressure in cosmic thermodynamics. The pressure is directly derived from the unified first law, in fact the Einstein field equation in spherically symmetric spacetime. By using this pressure,…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Haximjan Abdusattar , Shi-Bei Kong , Wen-Long You , Hongsheng Zhang , Ya-Peng Hu

Violation of Lorentz invariancy in the high energy quantum gravity motivates one to consider an energy dependent spacetime with massive deformation of standard general relativity. In this paper, we take into account an energy dependent…

General Relativity and Quantum Cosmology · Physics 2017-04-07 S. H. Hendi , B. Eslam Panah , S. Panahiyan

We investigate the thermodynamic and phenomenological implications of a cosmological model governed by fractional entropy applied to the apparent horizon of a flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) universe. By utilizing the…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Miguel Cruz , Diego da Silva , Simón González , Samuel Lepe , Joel Saavedra , Manuel Gonzalez-Espinoza

We reveal unifying thermodynamic aspects of so different phenomena as the cosmological electron-positron annihilation, the evaporation of primordial black holes with a narrow mass range, and the ``deflationary'' transition from an initial…

Astrophysics · Physics 2016-08-15 Winfried Zimdahl , Diego Pavón

We analyze the properties of a generic cosmological fluid described by the van der Waals equation of state. Exact solutions for the energy density evolution are found as implicit functions of the scale factor for a flat…

General Relativity and Quantum Cosmology · Physics 2016-02-11 Rudinei C. S. Jantsch , Marcus H. B. Christmann , Gilberto M. Kremer

Singularities in the thermodynamics of Kerr-Newman black holes are commonly associated with phase transitions. However, such interpretations are complicated by a lack of stability and, more significantly, by a lack of conclusive insight…

General Relativity and Quantum Cosmology · Physics 2008-11-26 George Ruppeiner

The phase structure and critical phenomena of the 3+1 dimensional charged black holes in asymptotically flat spacetime are investigated in terms of thermodynamic properties within the R\'enyi statistics. With this approach as the…

High Energy Physics - Theory · Physics 2020-09-16 Chatchai Promsiri , Ekapong Hirunsirisawat , Watchara Liewrian

This paper deals with gravitational thermodynamics on the dynamical apparent horizon of an FLRW universe with dissipation. The dissipation is assumed to arise due to adiabatic gravitational particle creation. For the thermodynamic study, we…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Somnath Saha , Subhajit Saha , Nilanjana Mahata

We study the formation of topological defects in nonequilibrium phase transitions of both classical and quantum field theory. We examine three model systems. 1). The phase transition of a quantum scalar field in a FRW universe is analyzed…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. J. Stephens

We study the quantum cosmology of a quadratic $f(R)$ theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamics of the scalar field is induced. The classical equations of motion and the Weeler-deWitt…

General Relativity and Quantum Cosmology · Physics 2017-06-22 V. Vázquez-Báez , C. Ramírez

Fluctuating hydrodynamics provides a model for fluids at mesoscopic scales where thermal fluctuations can have a significant impact on the behavior of the system. Here we investigate a model for fluctuating hydrodynamics of a single…

Fluid Dynamics · Physics 2015-06-22 Anuj Chaudhri , John B. Bell , Alejandro L. Garcia , Aleksandar Donev

We study the thermodynamics of $4D$ dyonic AdS black hole in the Kaniadakis statistics framework using the Restricted Phase Space (RPST) formalism. This framework provides a non-extensive extension of classical statistical mechanics,…

High Energy Physics - Theory · Physics 2024-12-10 Abhishek Baruah , Prabwal Phukon

Solutions of hydrodynamical equations are presented for the equation of state of the Var der Waals type allowing for the first order phase transition. Attention is focused on description of the hadron-quark phase transition in heavy ion…

Nuclear Theory · Physics 2009-11-10 V. V. Skokov , D. N. Voskresensky

We investigate the effects of higher curvature corrections from Lovelock gravity on the phase structure of asymptotically AdS black holes, treating the cosmological constant as a thermodynamic pressure. We examine how various thermodynamic…

High Energy Physics - Theory · Physics 2015-06-22 Antonia M. Frassino , David Kubiznak , Robert B. Mann , Fil Simovic