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Recent progresses in statistical mechanics indicate the Tsallis nonextensive thermostatistics as the natural generalization of the standard classical and quantum statistics, when memory effects and long-range forces are not negligible. In…

核理论 · 物理学 2007-05-23 G. Kaniadakis , A. Lavagno , M. Lissia , P. Quarati

We studied the effects of the Tsallis distribution on the transverse momentum fluctuation in high energy collisions. The parton-hadron duality and the Bose-Einstein type correlation between partons were assumed. The fluctuation was…

高能物理 - 唯象学 · 物理学 2017-12-08 Masamichi Ishihara

We calculate the fluctuation of the energy of a system in Tsallis statistics following the finite heat bath canonical ensemble approach. We obtain this fluctuation as the second derivative of the logarithm of the partition function plus an…

统计力学 · 物理学 2009-11-07 F. Q. Potiguar , U. M. S. Costa

We argue that specific fluctuations observed in high-energy nuclear collisions can be attributed to intrinsic fluctuations of temperature of the hadronizing system formed in such processes and therefore can be described by the same…

高能物理 - 唯象学 · 物理学 2011-11-28 Grzegorz Wilk , Zbigniew Wlodarczyk

We show that Tsallis ensemble of power-law distributions provides a mechanical model of nonextensive equilibrium thermodynamics for small interacting Hamiltonian systems, i.e., using Boltzmann's original nomenclature, we prove that it is an…

统计力学 · 物理学 2007-05-23 M. Campisi , G. B. Bagci

A nonextensive thermostatic approach to chaotic dynamical systems is developed by expressing generalized Tsallis distribution as escort distribution. We explicitly show the thermodynamic limit and also derive the Legendre Transform…

统计力学 · 物理学 2009-10-31 Ramandeep S. Johal , Renuka Rai

In this article, we investigate the thermodynamic stability of the FRW universe for two examples, Tsallis entropy and loop quantum gravity, by considering non-extensive statistical mechanics. The heat capacity, free energy and pressure of…

广义相对论与量子宇宙学 · 物理学 2022-01-03 Yang Liu

We discuss the possibility of implementing axiomatic nonextensive statistics, where it is conjectured that the phase-space volume determines the (non)extensive entropy, on the particle production at NICA energies. Both Boltzmann-Gibbs and…

核理论 · 物理学 2016-08-23 Abdel Nasser Tawfik

By using the maximum entropy principle, with Tsallis entropy, we obtain an explicit dependence for energy distribution of earthquakes. This function describes very well the observations in a wide range of energies, where other distribution…

软凝聚态物质 · 物理学 2007-05-23 Oscar Sotolongo-Costa , Antonio Posadas

Recently we have demostrated that the nonextensitivity parameter q occuring in some applications of Tsallis statistics (known also as index of the corresponding L\'evy distribution) is, in the q>1 case, given entirely by the fluctuations of…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Wilk , Z. Wlodarczyk

We derive and study quasicanonical Gibbs distribution function which is characterized by the thermostat with finite number of particles (quasithermostat). We show that this naturally leads to Tsallis nonextensive statistics and…

统计力学 · 物理学 2007-05-23 A. K. Aringazin , M. I. Mazhitov

We provide evidence that the small-scale statistics of the acceleration of a test particle in high-Reynolds number Lagrangian turbulence is correctly described by Tsallis statistics with entropic index q=3/2. We present theoretical…

流体动力学 · 物理学 2009-11-07 Christian Beck

Thermodynamic characteristics of the radiation of condensed combustion products presented in the form of agglomerates of metal-oxide nanoparticles demonstrate deviations from the classical Planck's law. We propose to interpret these…

等离子体物理 · 物理学 2022-03-29 G. S. Dragan , V. V. Kutarov , A. Y. Bekshaev

The nonextensitivity parameter $q$ occuring in some of the applications of Tsallis statistics (known also as index of the corresponding L\'evy distribution) is shown to be given, in $q>1$ case, entirely by the fluctuations of the parameters…

高能物理 - 唯象学 · 物理学 2011-05-05 G. Wilk , Z. Wlodarczyk

A system presenting fractal structure in its thermodynamical functions is introduced, and it is shown that Tsallis statistics is the correct framework for describing the thermodynamical aspects of such fractal. Its Haussdorf dimension and…

高能物理 - 唯象学 · 物理学 2016-03-09 Airton Deppman

In a recent letter (EPL, 104 (2013) 60003) we suggested a way to avoid divergences inherent to the formulation of nonextensive statistical mechanics. They can be eliminated via the use of a q-Laplace transformation, which was illustrated…

统计力学 · 物理学 2015-11-18 A. Plastino , M. C. Rocca

By writing total Tsallis entropy as a function of non-extensivity q-parameter withing the fragment-asperity model for earthquakes, a critical range of values is identified: 1.4 <q< 1.8. It comes directly from constructing the non-extensive…

地球物理 · 物理学 2025-08-08 Oscar Sotolongo-Costa , Miguel Eduardo Mora-Ramos

For non-equilibrium systems in a steady state we present two necessary and sufficient conditions for the emergence of $q$-canonical ensembles, also known as Tsallis statistics. These conditions are invariance requirements over the…

统计力学 · 物理学 2019-08-23 Sergio Davis , Gonzalo Gutiérrez

It has been suggested recently that `$q$-exponential' distributions which form the basis of Tsallis' non-extensive thermostatistical formalism may be viewed as mixtures of exponential (Gibbs) distributions characterized by a fluctuating…

统计力学 · 物理学 2007-05-23 Hugo Touchette

An ideal mixture of parahydrogen (with nuclear spin K=0) and orthohydrogen (with K=1), in statistical weights 1/4 and 3/4, respectively, is used as a test ground for the existence of non-extensivity in chemical physics. We report on a new…

统计力学 · 物理学 2009-11-07 S. Martinez , F. Pennini , A. Plastino , H. Vucetich