Solid-liquid phase transition and heat engine in an asymptotically flat Schwarzschild black hole via the Rényi extended phase space approach

Promsiri, Chatchai; Hirunsirisawat, Ekapong; Liewrian, Watchara

doi:10.1103/physrevd.104.064004

Cited by 29 publications

(27 citation statements)

References 68 publications

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“…One of worthy features of the Rényi entropy is that it relates to the entanglement entropy in certain limit as discussed in Ref. [63]. In particular, for large nonextensivity limit, the Rényi entropy can be expressed in the form S R ∼ ln(r h /L λ ) which coincides with one for the entanglement entropy S e ∼ ln(ξ/a) [72,73].…”

Section: Discussionmentioning

confidence: 87%

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Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory

Sriling¹,

Nakarachinda²,

Wongjun³

2021

Preprint

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The de Rham-Gabadadze-Tolley (dRGT) black string solution is a cylindrically symmetric and static solution of the Einstein field equation with graviton mass term. For the asymptotically de Sitter (dS) solution, it is possible to obtain the black string with two event horizons corresponding to two thermodynamic systems. The Rényi entropy is one of the entropic forms which is suitable to deal with nonextensive properties of the black string. In this work, we investigated the possibility to obtain a stable black string by using the Rényi entropy in both separated and effective approaches. We found that the nonextensivity provides the thermodynamically stable black string with moderate size in both approaches. The transition from the hot gas phase to the moderate-sized stable black string in the separated/effective description is a first-order/zeroth-order phase transition. The significant ways to distinguish the black string from both approaches are discussed.

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Section: Discussionmentioning

confidence: 87%

“…For the effective system approach, one can treat the systems as a single system describing by the effective thermodynamic quantities. For the stability issue, it is possible to obtain the stable black hole by considering the Rényi entropy instead of the usual Gibbs-Boltzmann (GB) entropy [59][60][61][62][63][64].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory

Sriling¹,

Nakarachinda²,

Wongjun³

2021

Preprint

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“…From this equation, one can see that the heat capacity diverges at the extrema of the temperature since there exists a convex function in the denominator which is the same as one in Eq. (42). As a result, according to the slope of the temperature, there are three parts of the heat capacity; the middle one is positive and the others are negative as shown in Fig.…”

Section: A M As Enthalpymentioning

confidence: 97%

“…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%

“…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]. Interestingly, Tannukij et al [37] has demonstrated that the separated black hole system of the dS black hole spacetime can be in thermodynamical stability when the deviation from the conventional GB thermodynamics is large enough.…”

Section: Introductionmentioning

confidence: 99%

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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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Solid-liquid phase transition and heat engine in an asymptotically flat Schwarzschild black hole via the Rényi extended phase space approach

Cited by 29 publications

References 68 publications

Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory

Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory

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

Rényi Holographic Dark Energy

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