A comprehensive review of geometrical thermodynamics: From flluctuations to black holes

被引：5
作者：
Mahmoudi, Somayyeh [1 ,2 ]
Jafarzade, Khadije [1 ,2 ]
Hendi, Seyed Hossein [1 ,2 ,3 ]
机构：
[1] Shiraz Univ, Sch Sci, Dept Phys, Shiraz, Iran
[2] Shiraz Univ, Sch Sci, Biruni Observ, Shiraz, Iran
[3] Canadian Quantum Res Ctr, Ave Vernon, Vernon, BC, Canada
来源：
TURKISH JOURNAL OF PHYSICS | 2023年 / 47卷 / 05期
关键词：
Black holes; geometrical thermodynamics; stability; INFORMATION GEOMETRY; RIEMANNIAN GEOMETRY; PHASE-TRANSITION; MASSIVE GRAVITY; METRIC GEOMETRY; ISING-MODEL; CURVATURE; QUANTUM; ENTROPY; EQUILIBRIUM;
D O I：
10.55730/1300-0101.2748
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper presents a comprehensive review of geometrical thermodynamics, which employs ge-ometric concepts to study the thermodynamic properties of physical systems. The review covers key topics such as thermodynamic fluctuation theory, proposed thermodynamic metrics in various coordinate systems, and thermodynamic curvature. Additionally, the paper discusses the geometrical approach to black hole ther-modynamics and provides an overview of recent research in this field.
引用
收藏
页码：213 / 278
页数：66
相关论文
共 232 条
[1]   Kerr-AdS analogue of triple point and solid/liquid/gas phase transition [J].
Altamirano, Natacha ;
Kubiznak, David ;
Mann, Robert B. ;
Sherkatghanad, Zeinab .
CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (04)
[2]   Reentrant phase transitions in rotating anti-de Sitter black holes [J].
Altamirano, Natacha ;
Kubiznak, David ;
Mann, Robert B. .
PHYSICAL REVIEW D, 2013, 88 (10)
[3]   Geometry of higher-dimensional black hole thermodynamics -: art. no. 024017 [J].
Åman, JE ;
Pidokrajt, N .
PHYSICAL REVIEW D, 2006, 73 (02)
[4]   Geometry of black hole thermodynamics [J].
Åman, JE ;
Bengtsson, I ;
Pidokrajt, N .
GENERAL RELATIVITY AND GRAVITATION, 2003, 35 (10) :1733-1743
[5]  
Amari S., 1985, DIFFERENTIAL GEOMETR
[6]  
[Anonymous], 1948, The collected works Vol. 1: Thermodynamics
[7]   Stability and critical phenomena of black holes and black rings [J].
Arcioni, G ;
Lozano-Tellechea, E .
PHYSICAL REVIEW D, 2005, 72 (10)
[8]  
Arfken G.B., 2001, MATH METHODS PHYS, V5th
[9]  
Arnol'd VladimirIgorevich., 2013, MATH METHODS CLASSIC, V60
[10]   Geometrothermodynamics: comments, criticisms, and support [J].
Azreg-Ainou, Mustapha .
EUROPEAN PHYSICAL JOURNAL C, 2014, 74 (06) :1-8
12345678910