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In these notes we present a summary of existing ideas about phase transitions of black hole spacetimes in semiclassical gravity and offer some thoughts on three possible scenarios by which these transitions could take place. Our first theme…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. J. Stephens , B. L. Hu

Phase transition is a core content of black hole thermodynamics. This study adopted the Kramer's escape rate method for describing the Brownian motion of particles in an external field to investigate the intensity of the phase transition…

广义相对论与量子宇宙学 · 物理学 2023-03-07 Zhen-Ming Xu , Bin Wu , Wen-Li Yang

We investigate the thermodynamics of a four-dimensional charged black hole in a finite cavity in asymptotically flat and asymptotically de Sitter space. In each case, we find a Hawking-Page-like phase transition between a black hole and a…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip , S. Vaidya

We propose that the thermodynamics and the kinetics of the phase transition between wormhole and two black hole described by the two coupled SYK model can be investigated in terms of the stochastic dynamics on the underlying free energy…

高能物理 - 理论 · 物理学 2021-09-17 Ran Li , Jin Wang

Many transport processes in ecology, physics and biochemistry can be described by the average time to first find a site or exit a region, starting from an initial position. Typical mathematical treatments are based on formulations that…

偏微分方程分析 · 数学 2025-01-16 Thomas Hillen , Maria R. D'Orsogna , Jacob C. Mantooth , Alan E. Lindsay

We consider a generic first-order phase transition at finite temperature and investigate to what extent a population of primordial black holes, of variable masses, can affect the rate of bubble nucleation. Using a thin-wall approximation,…

高能物理 - 理论 · 物理学 2020-12-24 Basem Kamal El-Menoufi , Stephan J. Huber , Jonathan P. Manuel

Traditional static methods in phase transition studies, provide good insights into the thermodynamics of black holes. However, they practically lose sight of the dynamic aspects and temporal sequence of events. The Kramer's escape rate,…

广义相对论与量子宇宙学 · 物理学 2025-09-09 Mohammad Ali S. Afshar , Saeed Noori Gashti , Mohammad Reza Alipour , Jafar Sadeghi

This paper is devoted to analyzing the critical phenomenon and phase transition of quintessential Kerr-Newman-anti-de Sitter black hole in the framework of Maxwell equal-area law. For this purpose, we first derive thermodynamic quantities…

广义相对论与量子宇宙学 · 物理学 2020-10-08 M. Sharif , Qanitah Ama-Tul-Mughani

Treating the horizon radius as an order parameter in a thermal fluctuation, the free energy landscape model sheds light on the dynamic behaviour of black hole phase transitions. Here we carry out the first investigation of the dynamics of…

广义相对论与量子宇宙学 · 物理学 2023-09-21 Jiayue Yang , Robert B. Mann

The Hawking--Page phase transitions of the $d$-dimensional Schwarzschild and charged black holes are explored in a cavity. The phase transition temperature $T_{\rm HP}$, the minimum black hole temperature $T_0$, and the Gibbs free energy…

广义相对论与量子宇宙学 · 物理学 2022-04-25 Bing-Yu Su , Nan Li

We study the thermodynamic properties of a black hole and the Hawking-Page phase transition in the asymptotically anti--de Sitter spacetime in the dilatonic Einstein-Gauss-Bonnet theory of gravitation. We show how the higher-order curvature…

广义相对论与量子宇宙学 · 物理学 2016-11-30 Sunly Khimphun , Bum-Hoon Lee , Wonwoo Lee

In this paper, we take into account black hole solutions of Brans-Dicke-Maxwell theory and investigate their stability and phase transition points. We apply the concept of geometry in thermodynamics to obtain phase transition points and…

广义相对论与量子宇宙学 · 物理学 2016-08-24 S. H. Hendi , S. Panahiyan , B. Eslam Panah , Z. Armanfard

We point out that with a specific counting of states loop quantum gravity implies that black holes perform a phase transition at a certain characteristic temperature $T_C$. In this phase transition the punctures of the spin network on the…

广义相对论与量子宇宙学 · 物理学 2016-04-20 Jarmo Mäkelä

In this letter, we discuss how thermal fluctuations can effect the stability of (generally) charged black holes when close to certain critical points. Our novel treatment utilizes the black hole area spectrum (which is, for definiteness,…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Gilad Gour , A. J. M. Medved

Phase transitions of Einstein-Gauss-Bonnet black holes are studied using Duan's $\phi-$ field topological current theory, where black holes are treated as topological defects in the thermodynamic parameter space. The kinetics of…

广义相对论与量子宇宙学 · 物理学 2024-04-17 C. Fairoos

In this paper, we investigate the thermodynamics especially the Hawking-Page-like phase transition of the McVittie space-time. We formulate the first law of thermodynamics for the McVittie black hole, and find that the work density $W$ of…

广义相对论与量子宇宙学 · 物理学 2022-09-07 Haximjan Abdusattar , Shi-Bei Kong , Yihao Yin , Ya-Peng Hu

We investigate thermodynamic aspects of black holes in the recently formulated four dimensional Gauss-Bonnet theory of gravity, focusing on its asymptotically de Sitter ($\Lambda>0$) solutions. We take a Euclidean path integral approach,…

广义相对论与量子宇宙学 · 物理学 2021-12-01 Gareth Arturo Marks , Fil Simovic , Robert B. Mann

The present thesis is devoted towards the study of various aspects of the phase transition phenomena occurring in black holes defined in an Anti-de-Sitter (AdS) space. Based on the fundamental principles of thermodynamics and considering a…

广义相对论与量子宇宙学 · 物理学 2014-03-19 Dibakar Roychowdhury

Modern cosmological models are constructed in the framework of thermodynamic approaches developed within a Van der Waals-Maxwell theory of the first-order phase transitions. In the present work we study a geometrothermodynamics of…

广义相对论与量子宇宙学 · 物理学 2020-08-26 Halina Grushevskaya , Nina Krylova

Dynamic phase transition of charged dilaton black holes is investigated in this paper. We introduce the Gibbs free energy landscape and calculate the corresponding $G_L$ for the dilaton black hole. On the one hand, we numerically solve the…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Jie-Xiong Mo , Shan-Quan Lan