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We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

统计力学 · 物理学 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

The physical quantity "temperature" is a cornerstone of thermodynamics and statistical physics. But it is necessary to mention that very frequently the scientists forget about the conditions to be satisfied in order to introduce…

介观与纳米尺度物理 · 物理学 2015-03-19 Dmitrii Tayurskii , Alain Le Méhauté

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,…

量子物理 · 物理学 2021-05-26 S. Alipour , F. Benatti , M. Afsary , F. Bakhshinezhad , M. Ramezani , T. Ala-Nissila , A. T. Rezakhani

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…

统计力学 · 物理学 2017-11-13 A. Puglisi , A. Sarracino , A. Vulpiani

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…

统计力学 · 物理学 2020-01-08 Daochi Zhang , Xiao Zheng , Massimiliano Di Ventra

When long-range interactions are present the usual definition of temperature implies that two systems in thermal equilibrium can be at different temperatures. This local temperature has physical significance, if the sub-systems cease to…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Daniel K. L. Oi , Jonathan Oppenheim

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…

统计力学 · 物理学 2009-11-13 Alex V. Popov , Rigoberto Hernandez

The formulation for zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation at zero temperature [Y.Nakamura et al., Phys. Rev. A 89, 013613 (2014)] is extended to finite temperature. Both thermal and quantum fluctuations…

量子气体 · 物理学 2017-03-08 Y. Nakamura , T. Kawaguchi , Y. Torii , Y. Yamanaka

The meaning of temperature in nonequilibrium thermodynamics is considered by using a forced harmonic oscillator in a heat bath, where we have two effective temperatures for the position and the momentum, respectively. We invent a concrete…

统计力学 · 物理学 2007-05-23 Takahiro Hatano , David Jou

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…

生物物理 · 物理学 2015-03-09 Purushottam D. Dixit

In this paper we develop a generalized formalism for equilibrium thermodynamic systems when an information is shared between the system and the reservoir. The information results in a correction to the entropy of the system. This extension…

统计力学 · 物理学 2013-05-10 Alessio Gagliardi , Aldo Di Carlo

We study two small quantum systems coupled to the same reservoir which is in thermal equilibrium. By studying the particle density and the energy density in the two systems before and after they contact each other, we find that the two…

统计力学 · 物理学 2012-10-12 Pei Wang

Two phenomenological approaches are currently used in the study of the vitreous state. One is based on the concept of fictive temperature introduced by Tool [Jour. Research Nat. Bur. Standards 34, 199 (1945)] and recently revisited by…

软凝聚态物质 · 物理学 2008-08-20 Jean-Luc Garden , Jacques Richard , Hervé Guillou

The meaning and evolution of the notion of "temperature" (which is a key concept for the condensed and gaseous matter theories) are addressed from the different points of view. The concept of temperature turns out to be much more…

统计力学 · 物理学 2020-12-30 Edward Bormashenko

The thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, only the minimum of the effective potential can be…

高能物理 - 唯象学 · 物理学 2009-11-10 Jens O. Andersen , Daniel Boer , Harmen J. Warringa

We discuss the thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions. In particular we investigate the NLO 1/N correction to the 1PI finite temperature effective potential expressed in terms of an auxiliary field. The effective…

高能物理 - 唯象学 · 物理学 2017-08-23 Harmen J. Warringa

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

Temperature of a finite-sized system fluctuates due to the thermal fluctuations. However, a systematic mathematical framework for measuring or estimating the temperature is still underdeveloped. Here, we incorporate the estimation theory in…

统计力学 · 物理学 2026-03-17 Shaoyong Zhang , Zhaoyu Fei , Xiaoguang Wang

The existence of fluctuations of temperature has been a somewhat controversial topic in thermodynamics but nowadays it is recognized that they must be taken into account in small, finite systems. Although for nonequilibrium steady states…

统计力学 · 物理学 2022-01-05 Sergio Davis

There is an intense debate in the recent literature about the correct generalization of Maxwell's velocity distribution in special relativity. The most frequently discussed candidate distributions include the Juettner function as well as…

统计力学 · 物理学 2008-07-08 David Cubero , Jesús Casado-Pascual , Jörn Dunkel , Peter Talkner , Peter Hänggi
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