Holographic research on phase transitions for a five dimensional AdS black hole with conformally coupled scalar hair

Li, Hui-Ling; Yang, Sijia; Zu, Xiaotao

doi:10.1016/j.physletb.2016.11.043

Cited by 14 publications

(13 citation statements)

References 35 publications

(46 reference statements)

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“…The disagreement between our findings and those in [5,6,[8][9][10][11][12][13][14][15][16][17][18] arises both from the fact that we have probed further away from criticality than had been done, and are thus finding larger relative errors, and also from a numerical argument. As noted in [7], when the areas given by (2.14) are compared, there is less of a relative error than for the more precise areas given by (2.11).…”

Section: )contrasting

confidence: 94%

Breakdown of the equal area law for holographic entanglement entropy

McCarthy

Kubizňák

Mann

2017

J. High Energ. Phys.

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We investigate a holographic version of Maxwell's equal area law analogous to that for the phase transition in the black hole temperature/black hole entropy plane of a charged AdS black hole. We consider proposed area laws for both the black hole temperature/holographic entanglement entropy plane and the black hole temperature/2-point correlation function plane. Despite recent claims to the contrary, we demonstrate numerically that neither proposal is valid. We argue that there is no physical reason to expect such a construction in these planes.

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Section: )contrasting

confidence: 94%

Breakdown of the equal area law for holographic entanglement entropy

McCarthy

Kubizňák

Mann

2017

J. High Energ. Phys.

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“…Very recently, the equal area law of HEE was proved to hold for the FPT in the HEE-temperature plane [22]. Based on [20], VDP phase transition of HEE in various AdS black holes have been studied in [23,24,25,26,27,28,29,30,31,32]. All of these works showed that the HEE undergoes the same VDP phase transition as that of the BHE.…”

Section: Introductionmentioning

confidence: 99%

Van der Waals-Like Phase Transition from Holographic Entanglement Entropy in Lorentz Breaking Massive Gravity

Liu¹,

Shao²,

Zeng³

2017

Advances in High Energy Physics

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Phase transition of AdS black holes in Lorentz breaking massive gravity has been studied in the framework of holography. We find that there is a first-order phase transition (FPT) and second-order phase transition (SPT) both in Bekenstein-Hawking entropy-(BHE-) temperature plane and in holographic entanglement entropy-(HEE-) temperature plane. Furthermore, for the FPT, the equal area law is checked and for the SPT, the critical exponent of the heat capacity is also computed. Our results confirm that the phase structure of HEE is similar to that of BHE in Lorentz breaking massive gravity, which implies that HEE and BHE have some potential underlying relationship.

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“…[9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Another confirmation of this similarity appear when we employ non-local observables such as entanglement entropy, Wilson loop, two point correlation function and the complexity growth rate [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. Meanwhile, these tools are used extensively in quantum information and to characterize phases and thermodynamical behavior [40][41][42][43][44][45][46][47][48][49].…”

mentioning

confidence: 83%

Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

Moumni

2019

Advances in High Energy Physics

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In this paper we analyze the thermodynamic properties of the Anti de Sitter black hole in the Einstein-Maxwell-Yang-Mills-AdS gravity (EMYM) via many approaches and in different thermodynamical ensembles (canonical/ grand canonical). First, we give a concise overview of this phase structure in the entropy-thermal diagram for fixed charges then we investigate this thermodynamical structure in fixed potentials ensemble. The Next relevant step is recalling the nonlocal observables such as holographic entanglement entropy and two-point correlation function to show that both observables exhibit a Van der Waals-like behavior in our numerical accuracy and just near the critical line as the case of the thermal entropy for fixed charges by checking Maxwell's equal area law and the critical exponent.In the light of the grand canonical ensemble, we also find a newly phase structure for such a black hole where the critical behavior disappears in the thermal picture as well as in the holographic one. * hasan.elmoumni@edu.uca.ma

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Holographic research on phase transitions for a five dimensional AdS black hole with conformally coupled scalar hair

Cited by 14 publications

References 35 publications

Breakdown of the equal area law for holographic entanglement entropy

Breakdown of the equal area law for holographic entanglement entropy

Van der Waals-Like Phase Transition from Holographic Entanglement Entropy in Lorentz Breaking Massive Gravity

Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

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