The Experts below are selected from a list of 66204 Experts worldwide ranked by ideXlab platform
Robert B Mann - One of the best experts on this subject based on the ideXlab platform.
-
Critical phenomena of charged de Sitter black holes in cavities
Classical and Quantum Gravity, 2018Co-Authors: Fil Simovic, Robert B MannAbstract:We examine the Thermodynamic behaviour of four-dimensional charged and uncharged de Sitter black holes enclosed in an isothermal cavity, in the extended phase space where the cosmological constant is treated as a Thermodynamic Pressure. We demonstrate the presence of a novel Pressure-dependent phase transition in a compact region of phase space that does not appear in asymptotically anti-de Sitter black holes, and find a highly non-linear equation of state that does not lead to the usual interpretation of a van der Waals fluid.
-
Critical points in Lovelock Black Holes
arXiv: High Energy Physics - Theory, 2016Co-Authors: Antonia M. Frassino, Robert B Mann, Fil SimovicAbstract:We review some of the results obtained by introducing a Thermodynamic Pressure via the cosmological constant in a class of higher curvature theories known as Lovelock gravity. In particular, we focus on a specific relation between the higher-order Lovelock couplings that introduces a peculiar isolated critical point for hyperbolic black holes characterized by non-standard critical exponents.
-
The Chemistry of Black Holes
Springer Proceedings in Physics, 2015Co-Authors: Robert B MannAbstract:I provide a short overview of black hole Thermodynamics in extended phase space, where the cosmological constant is interpreted as Thermodynamic Pressure. This leads to an understanding of black holes from the viewpoint of chemistry, in terms of concepts such as Van der Waals fluids, reentrant phase transitions, and triple points. I discuss first the motivations for the extended phase space, indicating why the mass of a black hole should be understood as the analogue of Thermodynamic enthalpy. I think go on to describe how charged and rotating black holes exhibit novel chemical-type phase behaviour, hitherto unseen.
-
Black Hole Chemistry
arXiv: General Relativity and Quantum Cosmology, 2014Co-Authors: David Kubiznak, Robert B MannAbstract:The mass of a black hole has traditionally been identified with its energy. We describe a new perspective on black hole Thermodynamics, one that identifies the mass of a black hole with chemical enthalpy, and the cosmological constant as Thermodynamic Pressure. This leads to an understanding of black holes from the viewpoint of chemistry, in terms of concepts such as Van der Waals fluids, reentrant phase transitions, and triple points. Both charged and rotating black holes exhibit novel chemical-type phase behaviour, hitherto unseen.
-
Thermodynamics of rotating black holes and black rings: phase transitions and Thermodynamic volume
arXiv: High Energy Physics - Theory, 2014Co-Authors: Natacha Altamirano, Robert B Mann, David Kubiznak, Zeinab SherkatghanadAbstract:In this review we summarize, expand, and set in context 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. We specifically consider the Thermodynamics of higher-dimensional rotating asymptotically flat and AdS black holes and black rings in a canonical (fixed angular momentum) ensemble. We plot the associated Thermodynamic potential-the Gibbs free energy-and study its behaviour to uncover possible Thermodynamic phase transitions in these black hole spacetimes. We show that the multiply-rotating Kerr-AdS black holes exhibit a rich set of interesting Thermodynamic phenomena analogous to the "every day Thermodynamics" of simple substances, such as reentrant phase transitions of multicomponent liquids, multiple first-order solid/liquid/gas phase transitions, and liquid/gas phase transitions of the Van der Waals type. Furthermore, the reentrant phase transitions also occur for multiply-spinning asymptotically flat Myers-Perry black holes. The Thermodynamic volume, a quantity conjugate to the Thermodynamic Pressure, is studied for AdS black rings and demonstrated to satisfy the reverse isoperimetric inequality; this provides a first example of calculation confirming the validity of isoperimetric inequality conjecture for a black hole with non-spherical horizon topology. The equation of state P=P(V,T) is studied for various black holes both numerically and analytically-in the ultraspinning and slow rotation regimes.
Bálint Tóth - One of the best experts on this subject based on the ideXlab platform.
-
Improved lower bound on the Thermodynamic Pressure of the spin 1/2 Heisenberg ferromagnet
Letters in Mathematical Physics, 1993Co-Authors: Bálint TóthAbstract:We introduce a new stochastic representation of the partition function of the spin 1/2 Heisenberg ferromagnet. We express some of the relevant Thermodynamic quantities in terms of expectations of functionals of so-called random stirrings on ℤ ^ d . By use of this representation, we improve the lower bound on the Pressure given by Conlon and Solovej in Lett. Math. Phys. 23 , 223–231 (1991).
-
Improved lower bound on the Thermodynamic Pressure of the spin 1/2 Heisenberg ferromagnet
Letters in Mathematical Physics, 1993Co-Authors: Bálint TóthAbstract:We introduce a new stochastic representation of the partition function of the spin 1/2 Heisenberg ferromagnet. We express some of the relevant Thermodynamic quantities in terms of expectations of functionals of so-called random stirrings on Z a. By use of this representation, we improve the lower bound on the Pressure given by Conlon and Solovej in Lett. Math. Phys. 23, 223-231 (1991). where S(x) = (Sx(x), St(x), Sz(x)), x e A, are the local spin operators and the summation runs over nearest neighbour pairs of lattice sites in the rectangular box A, with periodic boundary conditions. The canonical commutation relations satisfied by the spin operators are (So(x), Sp(y)) = i6x,,%p,,S,(x), S~(x) + S2(x) + S~(x) - ~. (1.2) The grand partition function and the Thermodynamic Pressure are defined in the usual way:
David Kubizňak - One of the best experts on this subject based on the ideXlab platform.
-
Thermodynamics of rotating black holes and black rings phase transitions and Thermodynamic volume
Galaxies, 2014Co-Authors: Natacha Altamirano, David Kubizňak, Robert B Mann, Zeinab SherkatghanadAbstract:In this review we summarize, expand, and set in context 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. We specifically consider the Thermodynamics of higher-dimensional rotating asymptotically flat and AdS black holes and black rings in a canonical (fixed angular momentum) ensemble. We plot the associated Thermodynamic potential—the Gibbs free energy—and study its behavior to uncover possible Thermodynamic phase transitions in these black hole spacetimes. We show that the multiply-rotating Kerr-AdS black holes exhibit a rich set of interesting Thermodynamic phenomena analogous to the “every day Thermodynamics” of simple substances, such as reentrant phase transitions of multicomponent liquids, multiple first-order solid/liquid/gas phase transitions, and liquid/gas phase transitions of the van derWaals type. Furthermore, the reentrant phase transitions also occur for multiply-spinning asymptotically flat Myers–Perry black holes. These phenomena do not require a variable cosmological constant, though they are more naturally understood in the context of the extended phase space. The Thermodynamic volume, a quantity conjugate to the Thermodynamic Pressure, is studied for AdS black rings and demonstrated to satisfy the reverse isoperimetric inequality; this provides a first example of calculation confirming the validity of isoperimetric inequality conjecture for a black hole with non-spherical horizon topology. The equation of state P = P(V,T) is studied for various black holes both numerically and analytically—in the ultraspinning and slow rotation regimes.
-
Van der Waals black hole
Physics Letters B, 2014Co-Authors: Aruna Rajagopal, David Kubizňak, Robert B MannAbstract:Abstract In the context of extended phase space, where the negative cosmological constant is treated as a Thermodynamic Pressure in the first law of black hole Thermodynamics, we find an asymptotically AdS metric whose Thermodynamics matches exactly that of the Van der Waals fluid. We show that as a solution of Einstein's equations, the corresponding stress energy tensor obeys (at least for certain range of metric parameters) all three weak, strong, and dominant energy conditions.
-
extended phase space Thermodynamics for charged and rotating black holes and born infeld vacuum polarization
Journal of High Energy Physics, 2012Co-Authors: Sharmila Gunasekaran, David Kubizňak, Robert B MannAbstract:We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an extended phase space in which the cosmological constant is interpreted as Thermodynamic Pressure. For Reissner-Nordstrom black holes we find that the analogy with the Van der Walls liquid-gas system holds in any dimension greater than three, and that the critical exponents coincide with those of the Van der Waals system. We find that neutral slowly rotating black holes in four space-time dimensions also have the same qualitative behaviour. However charged and rotating black holes in three spacetime dimensions do not exhibit critical phenomena. For Born-Infeld black holes we define a new Thermodynamic quantity B conjugate to the Born-Infeld parameter b that we call Born-Infeld vacuum polarization. We demonstrate that this quantity is required for consistency of both the first law of Thermodynamics and the corresponding Smarr relation.
York Schröder - One of the best experts on this subject based on the ideXlab platform.
-
Debye screening mass of hot Yang-Mills theory to three-loop order
Journal of High Energy Physics, 2015Co-Authors: Ioan Ghisoiu, Jan Möller, York SchröderAbstract:Building upon our earlier work, we compute a Debye mass of finite-temperature Yang-Mills theory to three-loop order. As an application, we determine a g 7 contribution to the Thermodynamic Pressure of hot QCD.
-
IBP methods at finite temperature
Journal of High Energy Physics, 2012Co-Authors: Madoka Nishimura, York SchröderAbstract:We demonstrate the applicability of integration-by-parts (IBP) identities in finite-temperature field theory. As a concrete example, we perform 3-loop computations for the Thermodynamic Pressure of QCD in general covariant gauges, and confirm earlier Feynman-gauge results.
Zeinab Sherkatghanad - One of the best experts on this subject based on the ideXlab platform.
-
phase transitions of hairy black holes in massive gravity and Thermodynamic behavior of charged ads black holes in an extended phase space
Physical Review D, 2014Co-Authors: Behrouz Mirza, Zeinab SherkatghanadAbstract:We study the Thermodynamic behavior of static and spherically symmetric hairy black holes in massive gravity. In this case, the black hole is surrounded in a spherical cavity with a fixed temperature on the surface. It is observed that these black holes have a phase transition similar to the liquid-gas phase transition of a Van der Waals fluid. Also, by treating the cosmological constant $\Lambda$ as a Thermodynamic Pressure $P$, we study the Thermodynamic behavior of charged anti-de Sitter black holes in an ensemble with a Pressure of $P$ and an electric potential $\Phi$ as the natural variables. A second order phase transition is observed to take place for all the values of the electric potential $\Phi$.
-
Thermodynamics of rotating black holes and black rings: phase transitions and Thermodynamic volume
arXiv: High Energy Physics - Theory, 2014Co-Authors: Natacha Altamirano, Robert B Mann, David Kubiznak, Zeinab SherkatghanadAbstract:In this review we summarize, expand, and set in context 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. We specifically consider the Thermodynamics of higher-dimensional rotating asymptotically flat and AdS black holes and black rings in a canonical (fixed angular momentum) ensemble. We plot the associated Thermodynamic potential-the Gibbs free energy-and study its behaviour to uncover possible Thermodynamic phase transitions in these black hole spacetimes. We show that the multiply-rotating Kerr-AdS black holes exhibit a rich set of interesting Thermodynamic phenomena analogous to the "every day Thermodynamics" of simple substances, such as reentrant phase transitions of multicomponent liquids, multiple first-order solid/liquid/gas phase transitions, and liquid/gas phase transitions of the Van der Waals type. Furthermore, the reentrant phase transitions also occur for multiply-spinning asymptotically flat Myers-Perry black holes. The Thermodynamic volume, a quantity conjugate to the Thermodynamic Pressure, is studied for AdS black rings and demonstrated to satisfy the reverse isoperimetric inequality; this provides a first example of calculation confirming the validity of isoperimetric inequality conjecture for a black hole with non-spherical horizon topology. The equation of state P=P(V,T) is studied for various black holes both numerically and analytically-in the ultraspinning and slow rotation regimes.
-
Thermodynamics of rotating black holes and black rings phase transitions and Thermodynamic volume
Galaxies, 2014Co-Authors: Natacha Altamirano, David Kubizňak, Robert B Mann, Zeinab SherkatghanadAbstract:In this review we summarize, expand, and set in context 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. We specifically consider the Thermodynamics of higher-dimensional rotating asymptotically flat and AdS black holes and black rings in a canonical (fixed angular momentum) ensemble. We plot the associated Thermodynamic potential—the Gibbs free energy—and study its behavior to uncover possible Thermodynamic phase transitions in these black hole spacetimes. We show that the multiply-rotating Kerr-AdS black holes exhibit a rich set of interesting Thermodynamic phenomena analogous to the “every day Thermodynamics” of simple substances, such as reentrant phase transitions of multicomponent liquids, multiple first-order solid/liquid/gas phase transitions, and liquid/gas phase transitions of the van derWaals type. Furthermore, the reentrant phase transitions also occur for multiply-spinning asymptotically flat Myers–Perry black holes. These phenomena do not require a variable cosmological constant, though they are more naturally understood in the context of the extended phase space. The Thermodynamic volume, a quantity conjugate to the Thermodynamic Pressure, is studied for AdS black rings and demonstrated to satisfy the reverse isoperimetric inequality; this provides a first example of calculation confirming the validity of isoperimetric inequality conjecture for a black hole with non-spherical horizon topology. The equation of state P = P(V,T) is studied for various black holes both numerically and analytically—in the ultraspinning and slow rotation regimes.