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A study of the effects of non-extensivity on the modelling of atomic physics in hot dense plasmas is proposed within Tsallis' statistics. The electronic structure of the plasma is calculated through an average-atom model based on the…

等离子体物理 · 物理学 2015-05-30 Jean-Christophe Pain , Denis Teychenné , Franck Gilleron

It is shown that a recent proposal to give physically meaningful definitions of temperature and pressure within Tsallis formalism for non-extensive thermostatistics leads to expressions which coincide with those obtained by using the…

统计力学 · 物理学 2007-05-23 R. Toral

In this paper, we show that 1) additive energy is not appropriate for discussing the validity of Tsallis or R\'enyi statistics for nonextensive systems at meta-equilibrium; 2) $N$-body systems with nonadditive energy or entropy should be…

统计力学 · 物理学 2007-05-23 Q. A. Wang , L. Nivanen , M. Pezeril , A. Le Méhauté

We analytically study isothermal spheres in the light of nonextensive statistical mechanics. The equations for the isothermal spheres are derived from the grand partition function of the gravitating particle system in the Tsallis…

广义相对论与量子宇宙学 · 物理学 2025-09-24 Nahomi Kan , Takuya Maki , Kiyoshi Shiraishi

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

The nonextensive thermodynamic relations are expressed under the assumption of temperature duality, endowing the "physical temperature" and the "Lagrange temperature" in different physical sense. Based on this assumption, two sets of…

统计力学 · 物理学 2016-10-18 Yahui Zheng , Jiulin Du

We show that the non-additivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that…

统计力学 · 物理学 2009-11-07 Christian Beck

We investigate the thermodynamic properties of stellar self-gravitating system arising from the Tsallis generalized entropy. In particular, physical interpretation of the thermodynamic instability, as has been revealed by previous…

凝聚态物理 · 物理学 2009-11-07 A. Taruya , M. Sakagami

Starting from the basic prescriptions of the Tsallis' nonextensive thermostatistics, i.e. generalized entropy and normalized q-expectation values, we study the relativistic nonextensive thermodynamics and derive a Boltzmann transport…

统计力学 · 物理学 2015-06-24 A. Lavagno

In this study it is shown that the Tsallis q-extended statistical theory was found efficient to describe faithfully the space plasmas statistics in every case, from the planetic magnetospheres, to solar corona and solar dynamics, as well as…

混沌动力学 · 物理学 2012-03-20 G. P. Pavlos

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…

星系天体物理 · 物理学 2015-08-10 Yahui Zheng , Jiulin Du

q-Gaussian distribution appear in many science areas where we can find systems that could be described within a nonextensive framework. Usually, a way to assert that these systems belongs to nonextensive framework is by means of numerical…

数据分析、统计与概率 · 物理学 2017-03-21 Wagner S. de Lima , Emerson L. de Santa Helena

Experimental particle spectra can be successfully described by power-law tailed energy distributions characteristic to canonical equilibrium distributions associated to R\'enyi's or Tsallis' entropy formula - over a wide range of energies,…

核理论 · 物理学 2013-06-27 T. S. Biró , E. Molnár

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

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

The nonextensive kinetic theory for degenerate quantum gases is discussed in the general relativistic framework. By incorporating nonadditive modifications in the collisional term of the relativistic Boltzmann equation and entropy current,…

广义相对论与量子宇宙学 · 物理学 2017-10-25 A. P. Santos , R. Silva , J. S. Alcaniz , J. A. S. Lima

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

统计力学 · 物理学 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

Within Tsallis' nonextensive statistics, a model is elaborated to address self-similar time series as a thermodynamic system. Thermodynamic-type characteristics relevant to temperature, pressure, entropy, internal and free energies are…

统计力学 · 物理学 2007-05-23 A. I. Olemskoi

Self-gravitating system are non-equilibrium a priory. A new approach is proposed, which employs a non-equilibrium statistical operator into account inhomogeneous distribution of particles and temperature. The method involves the saddle -…

统计力学 · 物理学 2016-04-12 B. I. Lev

We present a simple and general argument showing that a class of dynamical correlations give rise to the so-called Tsallis nonextensive statistics. An example of a system having such a dynamics is given, exhibiting a non-Boltzmann energy…

统计力学 · 物理学 2007-05-23 T. Kodama , H. -T. Elze , C. E. Aguiar , T. Koide