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The two-body potential of systems with long-range interactions decays at large distances as $V(r)\sim 1/r^\alpha$, with $\alpha\leq d$, where $d$ is the space dimension. Examples are: gravitational systems, two-dimensional hydrodynamics,…

统计力学 · 物理学 2009-09-03 A. Campa , T. Dauxois , S. Ruffo

We study the equilibrium and near-equilibrium properties of a holographic five-dimensional model consisting of Einstein gravity coupled to a scalar field with a non-trivial potential. The dual four-dimensional gauge theory is not conformal…

A version of massive gravity, namely conformal massive gravity, is employed to study the behavior of thermodynamic geometry for both the static and the rotating regular black holes. Whereas in thermodynamic geometry singularity can be…

广义相对论与量子宇宙学 · 物理学 2021-12-10 Saheb Soroushfar , Reza Saffari , Amare Abebe , Haidar Sheikhahmadi

Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic…

数学物理 · 物理学 2014-04-28 Gustavo Arciniega , Alberto Sánchez

We study the thermodynamics and thermodynamic geometry of a five-dimensional Reissner-Nordstr\"om-AdS black hole in the extended phase space by treating the cosmological constant as being related to the number of colors in the boundary…

高能物理 - 理论 · 物理学 2015-06-23 Jia-Lin Zhang , Rong-Gen Cai , Hongwei Yu

We investigate the thermodynamics and critical phenomena for four dimensional RN-AdS and Kerr-AdS black holes in the canonical ensemble both for the normal and the extended phase space employing the framework of thermodynamic geometry. The…

高能物理 - 理论 · 物理学 2018-10-23 Pankaj Chaturvedi , Sayid Mondal , Gautam Sengupta

We study the deformation caused by the influence of extrinsic curvature on a vacuum spherically symmetric metric embedded in a five-dimensional bulk. In this sense, we investigate the produced black-holes and derive general characteristics…

广义相对论与量子宇宙学 · 物理学 2017-04-06 Abraão J. S Capistrano , Antonio C. Gutiérrez-Piñeres , Sergio C. Ulhoa , Ronni G. G. Amorim

In this paper, we investigate the thermodynamic properties of spherically symmetric, static black hole solutions within the framework of Conformal Killing Gravity (CKG). This is a modified theory of gravity that retains all solutions of…

广义相对论与量子宇宙学 · 物理学 2025-08-19 S. Ghaffari , G. G. Luciano

We investigate the dependence of thermodynamic properties of black holes on the choice of statistical ensemble for a particular class of Einstein-Maxwell-Gauss-Bonnet black holes with cosmological constant. We use partial Legendre…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Hernando Quevedo , Alberto Sanchez , Safia Taj

A novel geometric formalism for statistical estimation is applied here to the canonical distribution of classical statistical mechanics. In this scheme thermodynamic states, or equivalently, statistical mechanical states, can be…

量子物理 · 物理学 2009-10-30 Dorje C. Brody , Lane P. Hughston

Thermodynamic geometry is applied to the Born-Infeld-anti-de Sitter black hole (BIAdS) in the four dimensions, which is a nonlinear generalization of the Reissner-Norstr\"Aom-AdS black hole (RNAdS). We compute the Weinhold as well as the…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Peng Chen

The thermodynamics of black holes is shown to be directly induced by their near-horizon conformal invariance. This behavior is exhibited using a scalar field as a probe of the black hole gravitational background, for a general class of…

高能物理 - 理论 · 物理学 2009-09-29 Horacio E. Camblong , Carlos R. Ordonez

The formal structure of geometrical thermodynamics is reviewed with particular emphasis on the geometry of equilibria submanifolds. On these submanifolds thermodynamic metrics are defined as the Hessian of thermodynamic potentials. Links…

数学物理 · 物理学 2007-05-23 Manuel Santoro , Albert S. Benight

We study the thermodynamics of a class of four-dimensional black hole solutions arising from the compactification of a higher-curvature gravity theory featuring an infinite tower of Lovelock-type invariants. For planar horizons, we identify…

广义相对论与量子宇宙学 · 物理学 2025-05-30 Adolfo Cisterna , Mokhtar Hassaine , Ulises Hernandez-Vera

In this paper we show that the vanishing of the scalar curvature of Ruppeiner-like metrics does not characterize the ideal gas. Furthermore, we claim through an example that flatness is not a sufficient condition to establish the absence of…

广义相对论与量子宇宙学 · 物理学 2014-12-17 Miguel Á. García-Ariza , Merced Montesinos , Gerardo F. Torres del Castillo

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

天体物理学 · 物理学 2009-11-11 Patrick Valageas

We study thermodynamics and thermodynamic geometry of a five-dimensional Schwarzschild AdS black hole in $AdS_5\times{S^5}$ spacetime by treating the cosmological constant as the number of colors in the boundary gauge theory and its…

高能物理 - 理论 · 物理学 2015-06-22 Jia-Lin Zhang , Rong-Gen Cai , Hongwei Yu

In addition to curvature singularities, electrovacuum black holes in general relativity exhibit thermodynamic singularities. These so-called Davies' points occur at nonextremal values of charge and spin where the heat capacity diverges and…

广义相对论与量子宇宙学 · 物理学 2025-08-18 Arthur G. Suvorov , Pedro Bargueño

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

广义相对论与量子宇宙学 · 物理学 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

We resolve the controversial issue of the geometric approach to the black hole thermodynamics. The geometric description of the equilibrium thermodynamics comes from Ruppeiner geometry based on a metric on the thermodynamic state space. For…

高能物理 - 理论 · 物理学 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park