scholarly journals Instability of supersymmetric black holes via quantum phase transitions

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Andrés Anabalón ◽  
Dumitru Astefanesei ◽  
Antonio Gallerati ◽  
Mario Trigiante
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Phase Transitions ◽  
Supersymmetry Breaking ◽  
Canonical Ensemble ◽  
Quantum Phase Transitions ◽  
Infinite Class ◽  
Supersymmetric Solution ◽  
Breaking Mechanism ◽  
Electrically Charged

Abstract In this paper we prove that the four-dimensional hyperbolic supersymmetric black holes can be unstable in the canonical ensemble. To this end, we work with an infinite class of $$ \mathcal{N} $$ N = 2 supergravity theories interpolating between all the single dilaton truncations of the SO(8) gauged $$ \mathcal{N} $$ N = 8 supergravity. Within these models, we study electrically charged solutions of two different kinds: supersymmetric hairy and extremal non-supersymmetric Reissner-Nordström black holes. We consider these solutions within the same canonical ensemble and show that, for suitable choices of the parameters defining the $$ \mathcal{N} $$ N = 2 model, the supersymmetric solution features a higher free energy than the non-supersymmetric one. In the absence of additional selection rules, this would imply an instability of the supersymmetric configuration, hinting towards a possible supersymmetry breaking mechanism.

Dyonic and Magnetic Black Holes with Rational Nonlinear Electrodynamics

2020 ◽  
Author(s):  
Sergey Kruglov
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Free Energy ◽  
Phase Transitions ◽  
Helmholtz Free Energy ◽  
Magnetic Charge ◽  
The Self ◽  
Nonlinear Electrodynamics ◽  
Dual Case

The principles of causality and unitarity are studied within rational nonlinear electrodynamics proposed earlier. We investigate dyonic and magnetized black holes and show that in the self-dual case, when the electric charge equals the magnetic charge, corrections to Coulomb's law and Reissner-Nordstrom solutions are absent. In the case of the magnetic black hole, the Hawking temperature, the heat capacity and the Helmholtz free energy are calculated. It is shown that there are second-order phase transitions and it was demonstrated that at some range of parameters the black holes are stable.

scholarly journals Exceptional dynamical quantum phase transitions in periodically driven systems

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Ryusuke Hamazaki
Keyword(s):  
Free Energy ◽  
Phase Transitions ◽  
Fundamental Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exceptional Point ◽  
Many Body ◽  
Periodically Driven ◽  
Time Regime ◽  
Short Time

AbstractExtending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a dynamical version of free energy, their nature is yet to be elusive. Here, we show that spontaneous symmetry breaking can occur at a short-time regime and causes universal dynamical quantum phase transitions in periodically driven unitary dynamics. Unlike conventional phase transitions, the relevant symmetry is antiunitary: its breaking is accompanied by a many-body exceptional point of a nonunitary operator obtained by space-time duality. Using a stroboscopic Ising model, we demonstrate the existence of distinct phases and unconventional singularity of dynamical free energy, whose signature can be accessed through quasilocal operators. Our results open up research for hitherto unknown phases in short-time regimes, where time serves as another pivotal parameter, with their hidden connection to nonunitary physics.

scholarly journals Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces

2017 ◽  
Vol 26 (03) ◽  
pp. 1750017 ◽  
Author(s):  
Zeinab Sherkatghanad ◽  
Behrouz Mirza ◽  
Zahra Mirzaiyan ◽  
Seyed Ali Hosseini Mansoori
Keyword(s):  
Black Holes ◽  
Phase Transitions ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Lovelock Gravity ◽  
Third Order ◽  
Extended Phase ◽  
The Third ◽  
Ads Black Holes ◽  
Grand Canonical

We consider the critical behaviors and phase transitions of Gauss–Bonnet–Born–Infeld-AdS black holes (GB–BI-AdS) for [Formula: see text] and the extended phase space. We assume the cosmological constant, [Formula: see text], the coupling coefficient [Formula: see text], and the BI parameter [Formula: see text] to be thermodynamic pressures of the system. Having made these assumptions, the critical behaviors are then studied in the two canonical and grand canonical ensembles. We find “reentrant and triple point phase transitions” (RPT-TP) and “multiple reentrant phase transitions” (multiple RPT) with increasing pressure of the system for specific values of the coupling coefficient [Formula: see text] in the canonical ensemble. Also, we observe a reentrant phase transition (RPT) of GB–BI-AdS black holes in the grand canonical ensemble and for [Formula: see text]. These calculations are then expanded to the critical behavior of Born–Infeld-AdS (BI-AdS) black holes in the third-order of Lovelock gravity and in the grand canonical ensemble to find a van der Waals (vdW) behavior for [Formula: see text] and a RPT for [Formula: see text] for specific values of potential [Formula: see text] in the grand canonical ensemble. Furthermore, we obtain a similar behavior for the limit of [Formula: see text], i.e. charged-AdS black holes in the third-order of the Lovelock gravity. Thus, it is shown that the critical behaviors of these black holes are independent of the parameter [Formula: see text] in the grand canonical ensemble.

scholarly journals Phase Transitions, Geometrothermodynamics, and Critical Exponents of Black Holes with Conformal Anomaly

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Jie-Xiong Mo ◽  
Wen-Biao Liu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Phase Transitions ◽  
Scalar Curvature ◽  
Critical Exponents ◽  
Phase Structure ◽  
Scaling Laws ◽  
Canonical Ensemble ◽  
Conformal Anomaly ◽  
Transition Points

We investigate the phase transitions of black holes with conformal anomaly in canonical ensemble. Some interesting and novel phase transition phenomena have been discovered. It is shown that there are striking differences in both Hawking temperature and phase structure between black holes with conformal anomaly and those without it. Moreover, we probe in detail the dependence of phase transitions on the choice of parameters. The results show that black holes with conformal anomaly have much richer phase structure than those without it. There would be two, only one, or no phase transition points depending on the parameters. The corresponding parameter regions are derived both numerically and graphically. Geometrothermodynamics are built up to examine the phase structure we have discovered. It is shown that Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat diverges. Furthermore, critical behaviors are investigated by calculating the relevant critical exponents. And we prove that these critical exponents satisfy the thermodynamic scaling laws.

scholarly journals BLACK HOLE PHASE TRANSITIONS VIA BRAGG–WILLIAMS

2011 ◽  
Vol 26 (20) ◽  
pp. 3469-3489 ◽  
Author(s):  
SOUVIK BANERJEE ◽  
SAYAN K. CHAKRABARTI ◽  
SUDIPTA MUKHERJI ◽  
BINATA PANDA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Free Energy ◽  
Phase Transitions ◽  
Energy Function ◽  
Condensed Matter ◽  
Free Energy Function ◽  
Charged Black Holes ◽  
Hairy Black Holes

We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg–Williams construction of a free energy function. Starting with a pedagogical review of this construction in condensed matter systems and also its implementation to Hawking–Page transition, we study instabilities associated with hairy black holes and also with the R-charged black holes. For the hairy black holes, an analysis of thermal quench is presented.

Further investigation on phase transitions of Born–Infeld AdS black holes

2014 ◽  
Vol 29 (18) ◽  
pp. 1450087
Author(s):  
Jie-Xiong Mo ◽  
Gu-Qiang Li ◽  
Wen-Biao Liu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Phase Structure ◽  
Canonical Ensemble ◽  
Standard Analysis ◽  
Ads Black Holes ◽  
The Impact ◽  
Constant Charge

In this paper, we further investigate the phase transitions of Born–Infeld AdS black holes in canonical ensemble. We take a different approach to investigate in detail the impact of the choice of parameters. Some interesting phase transition phenomena which has been ignored before are discovered. To examine the phase structure we find, we carry out the standard analysis of the behavior of free energy. We also apply the framework of geometrothermodynamics into Born–Infeld AdS black holes. It is shown that the Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat at constant charge diverges, which confirms the correctness of the phase structure we find. It is worth noting that although the phase structure shares similarity with RN-AdS black hole, it also has its unique characteristics due to influence of Born–Infeld electrodynamics.

scholarly journals Thermodynamics and heat engines of black holes with Born–Infeld-type electrodynamics

2021 ◽  
pp. 2150102
Author(s):  
Leonardo Balart ◽  
Sharmanthie Fernando
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Heat Engine ◽  
Nonlinear Electrodynamics ◽  
Extended Phase ◽  
Charged Black Holes ◽  
Heat Engines ◽  
Two Parameters ◽  
Electrically Charged

In this paper, we have studied electrically charged black holes in a new model of nonlinear electrodynamics introduced by Kruglov in Mod. Phys. Lett. A 32, 1750201 (2017). There are two parameters for the theory and the black hole could have up to two horizons. Thermodynamics is studied in the extended phase space where the pressure is proportional to the cosmological constant. First law and the Smarr formula are derived. There are phase transitions similar to the Van der Waals liquid-gas phase transitions. Black hole is also studied as a heat engine and we have discussed how the parameters in the nonlinear electrodynamics theory affect the efficiency of the heat engine.

Optimal approaches to manage power system decarbonation

2020 ◽  
Vol 64 (1-4) ◽  
pp. 1447-1452
Author(s):  
Vincent Mazauric ◽  
Ariane Millot ◽  
Claude Le Pape-Gardeux ◽  
Nadia Maïzi
Keyword(s):  
Free Energy ◽  
Linear Programming ◽  
Phase Transitions ◽  
Power System ◽  
Energy System ◽  
Energy Sources ◽  
Low Carbon ◽  
Faraday’S Law ◽  
Optimal Description ◽  
Low Carbon Technologies

To overcome the negative environemental impact of the actual power system, an optimal description of quasi-static electromagnetics relying on a reversible interpretation of the Faraday’s law is given. Due to the overabundance of carbon-free energy sources, this description makes it possible to consider an evolution towards an energy system favoring low-carbon technologies. The management for changing is then explored through a simplified linear-programming problem and an analogy with phase transitions in physics is drawn.

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