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We show that the vacuum (zero-point) energy of a low-temperature quantum liquid is a variable property which changes with the state of the system, in notable contrast to the static vacuum energy in solids commonly considered. We further…

Statistical Mechanics · Physics 2016-04-07 K. Trachenko , V. V. Brazhkin

The non-equilibrium state of two oscillators with a mutual interaction and coupled to separate heat baths is discussed. Bosonic baths are considered, and an exact spectral representation for the elements of the covariance matrix is provided…

Quantum Physics · Physics 2021-12-03 Carsten Henkel

By using the holographic approach, we investigate the interplay between the order parameter and Goldstone modes in the real-time dynamics of the chiral phase transition. By quenching the system to a different thermal bath and obtaining…

High Energy Physics - Phenomenology · Physics 2025-07-04 Pei Zheng , Yidian Chen , Danning Li , Mei Huang , Yuxin Liu

Previous results on Renyi and Wang's formalism of the Tsallis thermostatics are founded by using an extensive variable z connected to the entropic parameter q. It is shown that in the thermodynamical limit both the Tsallis and Renyi…

Statistical Mechanics · Physics 2007-05-23 A. S. Parvan , T. S. Biro

We calculate the nonequilibrium mean-field 'temperature' of a Brownian system in contact with a heat bath. We consider two different cases: an equilibrium bath in the presence of strong external forces and a nonequilibrium bath. By proving…

Statistical Mechanics · Physics 2011-06-30 I Santamaría-Holek , A. Pérez-Madrid

It is shown, that Bose-Einstein condensation can occur not only in spatially extended equilibrium systems, but also in the systems far from thermal equilibrium, which show order-disorder phase transition. The investigation is performed by…

Soft Condensed Matter · Physics 2007-05-23 Kestutis Staliunas

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

This paper deals with the thermodynamical properties of black hole formulated in Einstein theory of relativity and associated with a nonlinear electromagnetic field. The transition of the black hole is analyzed using the parameters mass,…

General Relativity and Quantum Cosmology · Physics 2023-05-31 G. Abbas , R. H. Ali

Absolute temperature, the fundamental temperature scale in thermodynamics, is usually bound to be positive. Under special conditions, however, negative temperatures - where high-energy states are more occupied than low-energy states - are…

The pure self-gravitating system in this paper refers to a multi-body gaseous system where the self-gravity plays a dominant role and the intermolecular interactions can be neglected. Therefore its total mass must be much more than a limit…

Astrophysics of Galaxies · Physics 2015-08-10 Yahui Zheng , Jiulin Du

We examine the non-extensive approach to the statistical mechanics of Hamiltonian systems with $H=T+V$ where $T$ is the classical kinetic energy. Our analysis starts from the basics of the formalism by applying the standard variational…

Statistical Mechanics · Physics 2015-05-28 J. F. Lutsko , J. P. Boon

We have studied the specific heat of the $(N_S+N_B)$ model for an $N_S$-body harmonic oscillator (HO) system which is strongly coupled to an $N_B$-body HO bath without dissipation. The system specific heat of $C_S(T)$ becomes $N_S k_B$ at…

Statistical Mechanics · Physics 2015-05-30 Hideo Hasegawa

We show that the zeroth law of thermodynamics holds within an alternative version of nonextensive statistical mechanics based on {\it incomplete probability distribution}. The generalized zeroth law leads to a generalized definition of…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

We propose that transverse momentum spectra with power-law tails observed in ultrarelativistic heavy ion collisions can be interpreted as originating in a medium in thermal equilibrium. General conditions on the dynamical equations are…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Biro , G. Gyorgyi , A. Jakovac , G. Purcsel

Some analogies between different nonequilibrium heat conduction models, particularly, random walk, discrete variable model, and Boltzmann transport equation with the single relaxation time approximation, have been discussed. We show that…

Statistical Mechanics · Physics 2018-02-21 Sergey Sobolev

According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model…

Analysis of PDEs · Mathematics 2024-07-03 Rufat Badal , Manuel Friedrich , Martin Kružík , Lennart Machill

Specific heat is calculated using Tsallis statistics. It is observed that it is possible to explain some low temperature specific heat properties of glasses using non-extensive approach. A similarity between temperature dependence of…

Statistical Mechanics · Physics 2009-11-11 Ashok Razdan

The forms of Euler and Gibbs-Duhem relations discussed in thermodynamics of extensive systems are shown to hold also for nonextensive systems with long-range interactions with a novel interpretation of entities appearing therein. In this…

Statistical Mechanics · Physics 2009-11-10 Sumiyoshi Abe , A. K. Rajagopal

We study the dynamics of a Hamiltonian system of N classical spins with infinite-range interaction. We present numerical results which confirm the existence of metaequilibrium Quasi Stationary States (QSS), characterized by non-Gaussian…

Statistical Mechanics · Physics 2015-06-24 V. Latora , A. Rapisarda , C. Tsallis

Transition state theory (TST) is generalized for the nonequilibrium system with power-law distributions. The stochastic dynamics that gives rise to the power-law distributions for the reaction coordinate and momentum is modeled by the…

Chemical Physics · Physics 2015-08-10 Jiulin Du