The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform
Robert B Mann - One of the best experts on this subject based on the ideXlab platform.
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black hole chemistry Thermodynamics with lambda
Classical and Quantum Gravity, 2017Co-Authors: Robert B Mann, David KubiznakAbstract: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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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.
David Kubiznak - One of the best experts on this subject based on the ideXlab platform.
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black hole chemistry Thermodynamics with lambda
Classical and Quantum Gravity, 2017Co-Authors: Robert B Mann, David KubiznakAbstract: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.
A S Parvan - One of the best experts on this subject based on the ideXlab platform.
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Microcanonical ensemble extensive Thermodynamics of Tsallis statistics
Physics Letters A, 2020Co-Authors: A S ParvanAbstract:The microscopic foundation of the generalized equilibrium statistical mechanics based on the Tsallis entropy is given by using the Gibbs idea of statistical ensembles of the classical and quantum mechanics. The equilibrium distribution functions are derived by the thermodynamic method based upon the use of the fundamental equation of Thermodynamics and the statistical definition of the functions of the state of the system. It is shown that if the entropic index $\xi=1/(q-1)$ in the microcanonical ensemble is an extensive variable of the state of the system, then in the thermodynamic limit $\tilde{z}=1/(q-1)N=const$ the principle of additivity and the zero law of Thermodynamics are satisfied. In particular, the Tsallis entropy of the system is extensive and the temperature is intensive. Thus, the Tsallis statistics completely satisfies all the postulates of the equilibrium Thermodynamics. Moreover, evaluation of the thermodynamic identities in the microcanonical ensemble is provided by the Euler theorem. The principle of additivity and the Euler theorem are explicitly proved by using the illustration of the classical microcanonical ideal gas in the thermodynamic limit.Comment: 10 pages, 1 figure, Published version in Physics Letters A. Added reference
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Lorentz transformations of the thermodynamic quantities
Annals of Physics, 2019Co-Authors: A S ParvanAbstract:Abstract In modern physics there exist several formulations of relativistic Thermodynamics of a moving body. The Planck and Ott formalisms are the main ones. However, it is not clear which one is correct. In the present paper, we have solved this problem. We have required the equivalence of the dynamical Hamiltonian of a system to the fundamental thermodynamic potential in addition to the principle of entropy invariance and derived the first law of Thermodynamics from this fundamental potential. We have found that in the case of momentum being an independent variable in the Hamiltonian, the Lorentz transformations of the thermodynamic quantities belong to the Planck formalism. However, if we suppose that the velocity is an independent variable in the Hamiltonian (though it is not correct from the point of view of the relativistic dynamics), the Lorentz transformations of the thermodynamic quantities belong to the Ott formalism. It demonstrates that the Ott formalism cannot be appropriate. Moreover, we have proved that in the Planck description the first law of Thermodynamics is covariant and the Legendre transform of the Lagrangian is preserved. However, in the Ott description the first law of Thermodynamics is not covariant and the Legendre transform is violated. Thus we have demonstrated that only the Planck formulation of relativistic Thermodynamics of a moving body is properly defined and the Ott formalism should be discarded.
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microcanonical ensemble extensive Thermodynamics of tsallis statistics
Physics Letters A, 2006Co-Authors: A S ParvanAbstract:Abstract The microscopic foundation of the generalized equilibrium statistical mechanics based on the Tsallis entropy is given by using the Gibbs idea of statistical ensembles of the classical and quantum mechanics. The equilibrium distribution functions are derived by the thermodynamic method based upon the use of the fundamental equation of Thermodynamics and the statistical definition of the functions of the state of the system. It is shown that if the entropic index ξ = 1 / ( q − 1 ) in the microcanonical ensemble is an extensive variable of the state of the system, then in the thermodynamic limit z ˜ = 1 / ( q − 1 ) N = const the principle of additivity and the zero law of Thermodynamics are satisfied. In particular, the Tsallis entropy of the system is extensive and the temperature is intensive. Thus, the Tsallis statistics completely satisfies all the postulates of the equilibrium Thermodynamics. Moreover, evaluation of the thermodynamic identities in the microcanonical ensemble is provided by the Euler theorem. The principle of additivity and the Euler theorem are explicitly proved by using the illustration of the classical microcanonical ideal gas in the thermodynamic limit.
Nobumitsu Shohoji - One of the best experts on this subject based on the ideXlab platform.
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Statistical Thermodynamics as a tool for evaluating atom clustering around interstitial atom : Advances in computational materials science and engineering II
Materials Transactions Jim, 2020Co-Authors: Nobumitsu ShohojiAbstract:In statistical thermodynamic analysis for condensed phase (either liquid or solid), atomistic (or microscopic) information of the condensed phase is derived from experimentally determined macroscopic equilibrium P-T-C (pressure-temperature-composition) relationships. This analysis procedure is especially adequate for non-stoichiometric compound containing at least one interstitial constituent. Atomistic information derived by statistical Thermodynamics includes clustering pattern of metal atoms around an interstitial atom as well as pair-wise interaction among constituent atoms. Desired calculation in the statistical thermodynamic analysis is not very demanding and thence, compared with some other branches of computational materials science and engineering research, statistical Thermodynamics requires only modest computational capacity of currently available advanced high-performance PC (personal computer). In this article, I would like to review aspects of atom clustering evaluation by statistical Thermodynamics and also potentiality of statistical Thermodynamics for predicting optimised material manufacturing condition.
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Statistical Thermodynamics as a Tool for Evaluating Atom Clustering around Interstitial Atom
Materials Transactions, 2001Co-Authors: Nobumitsu ShohojiAbstract:In statistical thermodynamic analysis for condensed phase (either liquid or solid), atomistic (or microscopic) information of the condensed phase is derived from experimentally determined macroscopic equilibrium P-T-C (pressure-temperature-composition) relationships. This analysis procedure is especially adequate for non-stoichiometric compound containing at least one interstitial constituent. Atomistic information derived by statistical Thermodynamics includes clustering pattern of metal atoms around an interstitial atom as well as pair-wise interaction among constituent atoms. Desired calculation in the statistical thermodynamic analysis is not very demanding and thence, compared with some other branches of computational materials science and engineering research, statistical Thermodynamics requires only modest computational capacity of currently available advanced high-performance PC (personal computer). In this article, I would like to review aspects of atom clustering evaluation by statistical Thermodynamics and also potentiality of statistical Thermodynamics for predicting optimised material manufacturing condition.
Na Di - One of the best experts on this subject based on the ideXlab platform.
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Kinetics and Thermodynamic Studies on the Adsorption of Co2+ onto Chitosan-aluminium Oxide Composite Material
International Journal of Chemistry, 2011Co-Authors: Zhiguang Ma, Haili Zhang, Na DiAbstract:Kinetics and thermodynamic on the adsorption of Co2+ onto chitosan-aluminium oxide composite material were studied, and the kinetics and Thermodynamics equations, activation energy (Ea), and the Thermodynamics constant were obtained. The adsorption of Co2+ onto chitosan-aluminium oxide composite material was found to follow pseudo-second-order kinetic model
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Kinetic and Thermodynamic Studies on the Adsorption of Zn2+ onto Chitosan-aluminium Oxide Composite Material
International Journal of Chemistry, 2011Co-Authors: Zhiguang Ma, Na Di, Fang Zhang, Peipei GuAbstract:Kinetics and thermodynamic on the adsorption of Co2+ onto chitosan-aluminium oxide composite material were studied, and the kinetics and Thermodynamics equations, activation energy (Ea), and the Thermodynamics constant were obtained. The adsorption of Co2+ onto chitosan-aluminium oxide composite material was found to follow pseudo-second-order kinetic model.
