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We study the thermodynamic equilibrium of matter in a wormhole `station' which connects various distinct asymptotic regions of a spacetime. An example of the `station' is a traversable wormhole connecting two distant regions. The…

General Relativity and Quantum Cosmology · Physics 2019-06-17 Hyeong-Chan Kim , Youngone Lee

The temperature of a physical system is operationally defined in physics as "that quantity which is measured by a thermometer" weakly coupled to, and at equilibrium with the system. This definition is unique only at global equilibrium in…

Statistical Mechanics · Physics 2020-01-08 Daochi Zhang , Xiao Zheng , Massimiliano Di Ventra

The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy…

Statistical Mechanics · Physics 2009-11-13 Alex V. Popov , Rigoberto Hernandez

We review the general aspects of the concept of temperature in equilibrium and non-equilibrium statistical mechanics. Although temperature is an old and well-established notion, it still presents controversial facets. After a short…

Statistical Mechanics · Physics 2017-11-13 A. Puglisi , A. Sarracino , A. Vulpiani

We study the issue of temperature in a steady system around a black hole event horizon, contrasting it with the appearance of divergence in a thermal equilibrium system. We focus on a spherically symmetric system governed by general…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Hyeong-Chan Kim

We extend on ideas from standard thermodynamics to show that temperature can be assigned to a general nonequilibrium quantum system. By choosing a physically motivated complete set of observables and expanding the system state thereupon,…

Quantum Physics · Physics 2021-05-26 S. Alipour , F. Benatti , M. Afsary , F. Bakhshinezhad , M. Ramezani , T. Ala-Nissila , A. T. Rezakhani

A deeper understanding of the thermal properties of black holes than we presently have depends to a large degree on obtaining a firmer grasp of the properties of the entropy. For such an understanding we must at least know the basic…

General Relativity and Quantum Cosmology · Physics 2012-08-27 James. W. York,

New methods are presented which enables one to analyze the thermodynamics of systems with long-range interactions. Generically, such systems have entropies which are non-extensive, (do not scale with the size of the system). We show how to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jonathan Oppenheim

While temperature is well understood as an intensive quantity in standard thermodynamics, it is less clear whether the same holds in the presence of strong correlations, especially in the case of quantum systems, which may even display…

Conversations about weather, environment, health, cuisine, and even politics, all involve the word "temperature". It was an attempt to understand the working of heat engines that gave the temperature a clear definition. In this Note we put…

Statistical Mechanics · Physics 2025-09-23 Miroslav Grmela

We investigate the possibility of describing the thermal system with different temperatures for a black hole with multiple horizons. The black hole with two horizons such as Schwarzschild-de Sitter black hole corresponds to two thermal…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

We use the global embedding of a black hole spacetime into a higher dimensional flat spacetime to define a local temperature for observers in free fall outside a static black hole. The local free-fall temperature remains finite at the event…

High Energy Physics - Theory · Physics 2009-11-18 Erling J. Brynjolfsson , Larus Thorlacius

Gibbs and Boltzmann definitions of temperature agree only in the macroscopic limit. The ambiguity in identifying the equilibrium temperature of a finite sized `small' system exchanging energy with a bath is usually understood as a…

Biological Physics · Physics 2015-03-09 Purushottam D. Dixit

We are used to measure temperature with a thermometer and we know from everyday life that different types of thermometers measure the same temperature. This experience can be based on equilibrium thermodynamics, which explains the…

Soft Condensed Matter · Physics 2024-12-12 Lukas Hecht , Lorenzo Caprini , Hartmut Löwen , Benno Liebchen

A common feature in the thermodynamic analysis of homogeneous and isotropic world models is the assumption that the temperature of the fluids inside the cosmic horizon (including dark energy) coincides with the temperature of the latter,…

General Relativity and Quantum Cosmology · Physics 2016-11-18 José Pedro Mimoso , Diego Pavón

'Relativistic thermodynamics' should be understood not as a generalization of a non-relativistic theory but as an application of a general thermodynamic framework, neutral as to spacetime setting and allowing arbitrary conserved quantities,…

Statistical Mechanics · Physics 2025-08-06 David Wallace

A general expression for the temperature of a finite-dimensional quantum system is deduced from thermodynamic arguments. At equilibrium, this magnitude coincides with the standard thermodynamic temperature. Furthermore, it is well-defined…

Quantum Physics · Physics 2020-05-04 Andrés Vallejo , Alejandro Romanelli , Raúl Donángelo

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. P. Badiali

Entropy and temperature of a system in a coherent state are naturally defined on a base of a density matrix of the system. As an example, entropy and temperature are evaluated for coherent states of a harmonic oscillator and quantum field…

Quantum Physics · Physics 2007-05-23 A. G. Bashkirov , A. D. Sukhanov

When the difference between changes in energy and entropy at a given temperature is correlated with the ratio between the same changes in energy and entropy at zero average free energy of an ensemble of similar but distinct molecule-sized…

General Physics · Physics 2009-06-17 Petr Zimak , Silvia Terenzi , Peter Strazewski
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