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In this review, we establish the mathematical framework of geometrothermodynamics (GTD) as a formalism capable of describing non-extensive, quasi-homogeneous, self-gravitating systems in a Legendre-invariant manner. We argue that the…

广义相对论与量子宇宙学 · 物理学 2026-05-08 Hernando Quevedo

We describe the growth of vesicles, due to the accretion of lipid molecules to their surface, in terms of linear irreversible thermodynamics. Our treatment differs from those previously put forward by consistently including the energy of…

统计力学 · 物理学 2009-11-13 Duccio Fanelli , Alan J. McKane

Reliable models of the thermodynamic properties of materials are critical for industrially relevant applications that require a good understanding of equilibrium phase diagrams, thermal and chemical transport, and microstructure evolution.…

材料科学 · 物理学 2018-09-21 Noah H. Paulson , Elise Jennings , Marius Stan

We present a thorough analysis on the invariance of the most widely used metrics in the Geometrothermodynamics (GTD) programme. We centre our attention in the invariance of the curvature of the space of equilibrium states under a change of…

A framework for the non-equilibrium thermodynamics of glasses is discussed. It also explains the non-equilibrium thermodynamics of a black hole isolated from matter. The first and second laws of black dynamics and black hole thermodynamics…

统计力学 · 物理学 2017-08-23 Th. M. Nieuwenhuizen

We study the thermodynamical properties of electrically charged black hole solutions of a nonlinear electrodynamics theory defined by a power p of the Maxwell invariant, which is coupled to Einstein gravity in four and higher spacetime…

高能物理 - 理论 · 物理学 2013-05-29 Hernan A. Gonzalez , Mokhtar Hassaine , Cristian Martinez

Systems at finite temperature make up the vast majority of realistic physical scenarios. Indeed, although zero temperature is often accompanied by simpler mathematics, the richness in physical results is evident when one considers the…

广义相对论与量子宇宙学 · 物理学 2020-05-29 Gonçalo M. Quinta

Depending on the exact experimental conditions, the thermodynamic properties of physical systems can be related to one or more thermostatistical ensembles. Here, we survey the notion of thermodynamic temperature in different statistical…

统计力学 · 物理学 2016-05-05 Peter Hänggi , Stefan Hilbert , Jörn Dunkel

The thermodynamic inconsistency observed in regular black holes is resolved through the framework of reduced thermodynamic phase spaces. We demonstrate that regular black holes are essentially induced from singular black holes by adding an…

广义相对论与量子宇宙学 · 物理学 2025-10-15 Meng-Sen Ma , Huai-Fan Li , Jian-Hua Shi

The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes. We investigate the phase structure, thermodynamic geometry and critical behavior of a Reissner-Nordstrom-AdS black hole…

广义相对论与量子宇宙学 · 物理学 2020-04-22 Peng Wang , Houwen Wu , Haitang Yang

In equilibrium statistical mechanics or thermodynamics formalism one of the main objectives is to describe the behavior of families of equilibrium measures for a potential parametrized by the inverse temperature $\beta$. Here we consider…

数学物理 · 物理学 2021-01-05 Gregório Dalle Vedove

The local and global thermal phase structure for asymptotically anti-de Sitter black holes charged under an abelian gauge group, with both Gauss-Bonnet and quartic field strength corrections, is mapped out for all parameter space. We work…

高能物理 - 理论 · 物理学 2009-07-22 Dionysios Anninos , Georgios Pastras

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

广义相对论与量子宇宙学 · 物理学 2024-10-22 Aydin Tavlayan , Bayram Tekin

We investigate the thermodynamics, topology, and geometry of black holes in Lorentz-violating gravity. Modifications in the theory by perturbative parameter lead to coupled changes in horizon structure and thermodynamic behaviour, allowing…

广义相对论与量子宇宙学 · 物理学 2025-10-28 Ankit Anand , Aditya Singh , Anshul Mishra , Saeed Noori Gashti , Takol Tangphati , Phongpichit Channuie

We construct the canonical ensemble of a $d$-dimensional Reissner-Nordstr\"om black hole spacetime in a cavity surrounded by a heat reservoir through the Euclidean path integral formalism. The heat reservoir is described by the boundary of…

高能物理 - 理论 · 物理学 2025-04-23 Tiago V. Fernandes , José P. S. Lemos

A thermodynamic description of cosmological spacetimes may provide insights into the fundamentals of the cosmic evolution that remain otherwise obscure, similar to `black hole thermodynamics'. We investigate the thermodynamic properties of…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Dipayan Mukherjee , Harkirat Singh Sahota , Swati Gavas

We consider the thermodynamic geometry of an ideal non-Abelian gas. We show that, for a certain value of the fractional parameter and at the relevant maximum value of fugacity, the thermodynamic curvature has a singular point. This…

统计力学 · 物理学 2011-09-15 Behrouz Mirza , Hosein Mohammadzadeh

The principle of microscopic reversibility says that, in equilibrium, two-time cross-correlations are symmetric under the exchange of observables. Thus, the asymmetry of cross-correlations is a fundamental, measurable, and often-used…

统计力学 · 物理学 2023-08-24 Naruo Ohga , Sosuke Ito , Artemy Kolchinsky

We show that classical thermodynamics has a formulation in terms of Hamilton-Jacobi theory, analogous to mechanics. Even though the thermodynamic variables come in conjugate pairs such as pressure/volume or temperature/entropy, the phase…

高能物理 - 理论 · 物理学 2008-11-26 S. G. Rajeev

Thermodynamic properties of locally anisotropic (2+1)-black holes are studied by applying geometric methods. We consider a new class of black holes with a constant in time elliptical event horizon which is imbedded in a generalized Finsler…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sergiu I. Vacaru