Quench dynamics in a holographic superfluid reveal a nonequilibrium crossover line in the supercritical region defined by a turning point in invasion velocity.
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Black hole chemistry: thermodynamics with Lambda
Canonical reference. 85% of citing Pith papers cite this work as background.
abstract
We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach, the mass of the black hole is no longer regarded as internal energy, rather it is identified with the chemical enthalpy. This leads to an extended dictionary for black hole thermodynamic quantities, in particular a notion of thermodynamic volume emerges for a given black hole spacetime. This volume is conjectured to satisfy the reverse isoperimetric inequality - an inequality imposing a bound on the amount of entropy black hole can carry for a fixed thermodynamic volume. New thermodynamic phase transitions naturally emerge from these identifications. Namely, we show that black holes can be understood from the viewpoint of chemistry, in terms of concepts such as Van der Waals fluids, reentrant phase transitions, and triple points. We also review the recent attempts at extending the AdS/CFT dictionary in this setting, discuss the connections with horizon thermodynamics, applications to Lifshitz spacetimes, and outline possible future directions in this field.
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background 13representative citing papers
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
Black hole phase transitions in AdS spacetime show critical slowing down with relaxation time scaling as τ = |ε|^{-2/3}, and this exponent is the same for RN-AdS, Kerr-AdS, and Bardeen black holes.
A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
Lyapunov exponents act as order parameters for first-order phase transitions in Horava-Lifshitz black holes with mean-field critical exponent 1/2, while chaos bounds are violated below a horizon-radius threshold even in stable phases.
Scalarization in EMSGB gravity enables free-energy crossings between scalarized and Reissner-Nordström black holes, producing up to three phase transitions whose order changes with coupling strength.
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
Dynamical EoW branes in rotating BTZ black holes are mapped to JT gravity, yielding BCFT thermodynamics and indicating possible interior transitions between single and double-joint configurations.
Exact black brane solutions with Lifshitz asymptotics are derived in arbitrary dimensions for two models, satisfying the third law for some parameters but exhibiting non-monotonic entropy-temperature relations for others.
Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermodynamic first law and Smarr formula.
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
κ-deformation induces critical behavior and phase transitions in uncharged Schwarzschild-AdS black holes with Pc vc/Tc ≈ 0.37 independent of κ and a double-loop G-T structure.
In conformal Killing gravity, Schwarzschild AdS black holes obey the Bekenstein-Hawking area law, exhibit parameter-dependent Van der Waals-like phase transitions for positive values, and recover information via islands that restore the Page curve after a critical time.
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.
QPO frequencies in RN AdS and Kerr geometries trace distinct thermodynamic phases and their stability when plotted against Hawking temperature.
Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.
An exact AdS extension of the PINLED black hole is derived from the Einstein-Hilbert action plus nonlinear EM sector, preserving the original parametric form while adding the standard AdS lapse term, followed by full thermodynamic and geodesic analysis.
Solving the Fokker-Planck equation shows RN-AdS black hole phase transitions synchronize with a peak in entropy production rate, driven by maximum thermodynamic dissipation.
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
Analyzes bulk and boundary phase transitions in deformed AdS-Schwarzschild black holes using gravitational decoupling and holographic extended thermodynamics.
Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.
A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.
In holographic superconductors with Born-Infeld electrodynamics, excited states become gapless below a critical pressure while the ground state remains gapped, arising from nonlinear screening competing with spatial curvature.
citing papers explorer
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Nonequilibrium crossover in the supercritical region from quench dynamics
Quench dynamics in a holographic superfluid reveal a nonequilibrium crossover line in the supercritical region defined by a turning point in invasion velocity.
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Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
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Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes
Black hole phase transitions in AdS spacetime show critical slowing down with relaxation time scaling as τ = |ε|^{-2/3}, and this exponent is the same for RN-AdS, Kerr-AdS, and Bardeen black holes.
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Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
A generalized Komar charge constructed via Lagrange multiplier promotion of the coupling constant yields a Smarr formula including that constant's contribution for asymptotically flat black hole and soliton solutions in Einstein-NLED theories, with application to the Bardeen regular black hole.
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Phase Transitions and Chaos Bound in Horava Lifshitz Black Holes using Lyapunov Exponents
Lyapunov exponents act as order parameters for first-order phase transitions in Horava-Lifshitz black holes with mean-field critical exponent 1/2, while chaos bounds are violated below a horizon-radius threshold even in stable phases.
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Thermodynamic Phase Transitions in Einstein-Maxwell-Scalar-Gauss-Bonnet Gravity
Scalarization in EMSGB gravity enables free-energy crossings between scalarized and Reissner-Nordström black holes, producing up to three phase transitions whose order changes with coupling strength.
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$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
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Rotating End of the World
Dynamical EoW branes in rotating BTZ black holes are mapped to JT gravity, yielding BCFT thermodynamics and indicating possible interior transitions between single and double-joint configurations.
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Lifshitz-like black branes in arbitrary dimensions and the third law of thermodynamics
Exact black brane solutions with Lifshitz asymptotics are derived in arbitrary dimensions for two models, satisfying the third law for some parameters but exhibiting non-monotonic entropy-temperature relations for others.
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Gravitational constant as a conserved charge in black hole thermodynamics
Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermodynamic first law and Smarr formula.
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Properties of black holes in non-linear electrodynamics
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
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Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
κ-deformation induces critical behavior and phase transitions in uncharged Schwarzschild-AdS black holes with Pc vc/Tc ≈ 0.37 independent of κ and a double-loop G-T structure.
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Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity
In conformal Killing gravity, Schwarzschild AdS black holes obey the Bekenstein-Hawking area law, exhibit parameter-dependent Van der Waals-like phase transitions for positive values, and recover information via islands that restore the Page curve after a critical time.
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Holographic pressure and volume for black holes
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
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Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge
Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.
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Probing Black Hole Phase Transitions through Quasi-Periodic Oscillations
QPO frequencies in RN AdS and Kerr geometries trace distinct thermodynamic phases and their stability when plotted against Hawking temperature.
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Quantum-statistical constraints on Kerr-anti-de Sitter thermodynamics
Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.
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Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
An exact AdS extension of the PINLED black hole is derived from the Einstein-Hilbert action plus nonlinear EM sector, preserving the original parametric form while adding the standard AdS lapse term, followed by full thermodynamic and geodesic analysis.
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Probabilistic Evolution of Black Hole Thermodynamic States via Fokker-Planck Equation
Solving the Fokker-Planck equation shows RN-AdS black hole phase transitions synchronize with a peak in entropy production rate, driven by maximum thermodynamic dissipation.
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Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
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Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole
Analyzes bulk and boundary phase transitions in deformed AdS-Schwarzschild black holes using gravitational decoupling and holographic extended thermodynamics.
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A Note on Chaos in Hayward Black Holes with String Fluids
Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.
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A new rotating axionic AdS$_4$ black hole dressed with a scalar field
A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.
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Criticality and Phase Structures of Excited Holographic Superconductors in Nonlinear Electrodynamics
In holographic superconductors with Born-Infeld electrodynamics, excited states become gapless below a critical pressure while the ground state remains gapped, arising from nonlinear screening competing with spatial curvature.
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Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
The paper derives GUP-modified Hawking radiation spectra and Gauss-Bonnet light deflection angles for Einstein-Dyonic-ModMax black holes in vacuum and plasma, along with quantum-corrected thermodynamics showing phase transitions.
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Topology of black hole thermodynamics: A brief review
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.