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The origin of non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Recent results indicate a connection between non-extensive statistics and thermofractals. After reviewing this connection, we…

高能物理 - 理论 · 物理学 2020-03-02 Airton Deppman , Eugenio Megias , Debora P. Menezes

The current status of implementing Tsallis (nonextensive) statistics on high-energy physics is briefly reviewed. The remarkably low freezeout-temperature, which apparently fails to reproduce the first-principle lattice QCD thermodynamics…

高能物理 - 唯象学 · 物理学 2018-04-30 Abdel Nasser Tawfik

We study the thermodynamical properties of the quantum kicked rotator, coarsened by an external fluctuation with a weak intensity D, by means of the Tsallis entropy with a changing entropic index q. The genuine entropic index, corresponding…

量子物理 · 物理学 2007-05-23 Luigi Palatella , Paolo Grigolini

We apply a variant of the Nose-Hoover thermostat to derive the Hamiltonian of a nonextensive system that is compatible with the canonical ensemble of the generalized thermostatistics of Tsallis. This microdynamical approach provides a…

统计力学 · 物理学 2009-11-07 J. S. Andrade , M. P. Almeida , A. A. Moreira , G. A. Farias

We study the applications of non-extensive Tsallis statistics to high energy and hadron physics. These applications include studies of $pp$ collisions, equation of state of QCD, as well as Bose-Einstein condensation. We also analyze the…

The nonextensive one-dimensional version of a hydrodynamical model for multiparticle production processes is proposed and discussed. It is based on nonextensive statistics assumed in the form proposed by Tsallis and characterized by a…

核理论 · 物理学 2014-11-18 T. Osada , G. Wilk

Thermodynamical quantities of the blackbody radiation, such as free energy, entropy, total radiation energy, specific heat are calculated within the Tsallis thermostatistics where factorization method is incorparated. It is shown that basic…

统计力学 · 物理学 2007-05-23 F. Buyukkilic , I. Sokmen , D. Demirhan

It is argued that the factorization of compound probability over subsystems is a consequence of the existence of thermodynamic equilibrium in the composite system having Tsallis entropy. So it should be respected by all exact calculations…

统计力学 · 物理学 2014-10-13 Qiuping A. Wang , Alain Le Mehaute

We have determined the entropy, the total energy, and the specific heat of the systems consisting of $M\geq 3$ hydrogen molecules. The calculations were conducted in the framework of the nonextensive Tsallis statistics. The relation between…

介观与纳米尺度物理 · 物理学 2018-01-10 R. Szczęśniak , E. A. Drzazga , I. A. Domagalska , A. P. Durajski , M. Kostrzewa

This article extends the non-extensive entropy of Tsallis and uses this entropy to model an energy producing system in an absorbing heat bath. This modified non-extensive entropy is superficially identical to the one proposed by Tsallis,…

统计力学 · 物理学 2007-05-23 Mark Fleischer

The statistical mechanics of a cloud of particles interacting via their gravitational potentials is an old problem which encounters some issues when the traditional Boltzmann-Gibbs statistics is applied. In this article, we consider the…

统计力学 · 物理学 2018-04-10 Lenin Escamilla-Herrera , Christine Gruber , Viridiana Pineda , Hernando Quevedo

Self-gravitating systems are generally thought to behavior non-extensively due to the long-range nature of gravitational forces. We obtain a relation between the nonextensive parameter q of Tsallis statistics, the temperature gradient and…

天体物理学 · 物理学 2015-08-10 Jiulin Du

The original canonical ensemble formalism for the nonextensive entropy thermostatistics is reconsidered. It is shown that the unambiguous connection of the statistical mechanics with the equilibrium thermodynamics is provided if the…

统计力学 · 物理学 2009-11-11 A. S. Parvan

Examples of joint probability distributions are studied in terms of Tsallis' nonextensive statistics both for correlated and uncorrelated variables, in particular it is explicitely shown how correlations in the system can make Tsallis…

统计力学 · 物理学 2008-11-26 G. Wilk , Z. Wlodarczyk

We investigate the limiting cases of Tsallis statistics. The viewpoint adopted is not the standard information-theoretic one, where one derives the distribution from a given measure of information. Instead the mechanical approach recently…

统计力学 · 物理学 2007-06-22 Michele Campisi

Relativistic particle production often requires the use of Tsallis statistics to account for the apparently power-like behavior of transverse momenta observed in the data even at a few GeV/c. In such an approach this behavior is attributed…

高能物理 - 唯象学 · 物理学 2011-04-20 Grzegorz Wilk , Zbigniew Wlodarczyk

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential, or energy dissipation) on long time scales. Depending on the…

统计力学 · 物理学 2009-11-07 C. Beck , E. G. D. Cohen

We analytically investigate the thermodynamic variables of a hot and dense system, in the framework of the Tsallis non-extensive classical statistics. After a brief review, we start by recalling the corresponding massless limits for all the…

统计力学 · 物理学 2016-11-30 Trambak Bhattacharyya , Jean Cleymans , Sylvain Mogliacci

We review the consequences of intrinsic, nonstatistical temperature fluctuations as seen in observables measured in high energy collisions. We do this from the point of view of nonextensive statistics and Tsallis distributions. Particular…

高能物理 - 唯象学 · 物理学 2015-06-04 Grzegorz Wilk , Zbigniew Wlodarczyk

We study the evolution of Tsallis entropy along the heat flow and establish its concavity in arbitrary dimensions. Extending prior results that were restricted to the one-dimensional setting, we prove that the Tsallis entropy is concave in…

信息论 · 计算机科学 2026-04-24 Lukang Sun