Thermodynamics and phase transition of spherically symmetric black hole in de Sitter space from Rényi statistics

Tannukij, Lunchakorn; Wongjun, Pitayuth; Hirunsirisawat, Ekapong; Deesuwan, Tanapat; Promsiri, Chatchai

doi:10.1140/epjp/s13360-020-00517-2

Cited by 33 publications

(32 citation statements)

References 33 publications

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“…where c 0 = 1/L 2 , c 1 = 1 and c 2 = λ L 2 . The Rényi entropy, S R is defined from the standard entropy by [82][83][84]…”

Section: )mentioning

confidence: 99%

“…where the α parameter is the non-extensive thermodynamical parameter with −∞ < α < 1 and in the limit α → 0, the Rényi entropy will reduce to the standard entropy. In addition, the Rényi temperature is defined by [82][83][84] T…”

Section: )mentioning

confidence: 99%

“…We refer all physical relevant discussions of black hole thermodynamics from the Rényi statistics in Refs. [82][83][84][85][86][87][88][89][90][91][92][93].…”

Section: )mentioning

confidence: 99%

“…This leads to an attractive advantage of the Rényi statistics since the black holes are not the extensive system due to the area law of the standard black hole thermodynamics. This motivates several studies of the black hole thermodynamics by using alternative statistics in various aspects [83][84][85][86][87][88][89][90][91][92][93].…”

Section: Introductionmentioning

confidence: 99%

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Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

Samart

Channuie

2020

J. High Energ. Phys.

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In this work, we study the possible existence of gravitational phase transition from AdS to dS asymptotic geometries in Einstein-Gauss-Bonnet gravity by adding the Maxwell one-form field (A µ) and the Kalb-Ramond two-form field (B µν) as impurity substitutions. The phase transitions proceed via the bubble nucleation of spherical thin-shells described by different branches of the solutions which host a dS black hole in the interior and asymptotic thermal AdS state in the exterior. We analyze the phase diagrams of the free energy and temperature to demonstrate the existence of the phase transitions in the grand canonical ensemble (fixed electrical potential). The phase transitions of having the one-form and two-form charges are possible in which the critical temperature is lower than that of the neutral case. Comparing results with existing literature, more importantly, our analyses show that the critical temperature and the Gauss-Bonnet coupling λ of the phase transitions get decreased by adding more types of the charges.

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“…where c 0 = 1/L 2 , c 1 = 1 and c 2 = λ L 2 . The Rényi entropy, S R is defined from the standard entropy by [82][83][84]…”

Section: )mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

“…We refer all physical relevant discussions of black hole thermodynamics from the Rényi statistics in Refs. [82][83][84][85][86][87][88][89][90][91][92][93].…”

Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

Samart

Channuie

2020

J. High Energ. Phys.

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“…As evident from the area law, the black hole system has been argued to be a non-extensive system in its own right [36]. Having considered black hole systems using the Tsallis and Rényi statistics can provide a number of new perspectives on its thermodynamical behaviours [36][37][38][39][40][41][42]. Taking into account the effect of non-extensivity can give not only the thermodynamical stability in some regions of parameter, it also allows a phase transition occurring in the case of black holes in asymptotically flat spacetime [38][39][40]42].…”

Section: Introductionmentioning

confidence: 99%

Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics

Nakarachinda,

Hirunsirisawat,

Tannukij

et al. 2021

Preprint

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It has been known that the Schwarzschild-de Sitter (Sch-dS) black hole may not be in thermal equilibrium and also be found to be thermodynamically unstable in the standard black hole thermodynamics. In the present work, we investigate the possibility to realize the thermodynamical stability of the Sch-dS black hole as an effective system by using the Rényi statistics, which includes the non-extensive nature of black holes. Our results indicate that the non-extensivity allows the black hole to be thermodynamically stable which gives rise to the lower bound on the nonextensive parameter. By comparing the results to ones in the separated system approach, we find that the effective temperature is always smaller than the black hole horizon temperature and the thermodynamically stable black hole in effective approach is always larger than one in separated approach at a certain temperature. There exists only the zeroth-order phase transition from the the hot gas phase to the black hole phase for the effective system while it is possible to have the transition of both the zeroth order and the first order for the separated system.

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Rényi Holographic Dark Energy

Nakarachinda,

Pongkitivanichkul,

Samart

et al. 2024

Fortschritte der Physik

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In this work, the holographic dark energy model is constructed by using the non‐extensive nature of the Schwarzschild black hole via the Rényi entropy. Due to the non‐extensivity, the black hole can be stable under the process of fixing the non‐extensive parameter. A change undergoing such a process would then motivate us to define the energy density of the Rényi holographic dark energy (RHDE). As a result, the RHDE with choosing the characteristic length scale as the Hubble radius provides the late‐time expansion without the issue of causality. Remarkably, the proposed dark energy model contains the non‐extensive length scale parameter additional to the standard model. The cosmic evolution can be characterized by comparing the size of the Universe to this length scale. Moreover, the preferable value of the non‐extensive length scale is determined by fitting the model to recent observations. The results of this work would shed light on the interplay between the thermodynamic description of the black hole with non‐extensivity and the classical gravity description of the evolution of the Universe.

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Thermodynamics and phase transition of spherically symmetric black hole in de Sitter space from Rényi statistics

Cited by 33 publications

References 33 publications

Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics

Rényi Holographic Dark Energy

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