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We expand the Tsallis distribution in a Taylor series of powers of (q-1), where q is the Tsallis parameter, assuming q is very close to 1. This helps in studying the degree of deviation of transverse momentum spectra and other thermodynamic…

高能物理 - 唯象学 · 物理学 2016-02-23 Trambak Bhattacharyya , Jean Cleymans , Arvind Khuntia , Pooja Pareek , Raghunath Sahoo

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

The problem of temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a "quasi-reversible process", it is shown that the Tsallis entropy becomes the Clausius entropy if the inverse of…

统计力学 · 物理学 2009-11-11 Sumiyoshi Abe

In this work, we present a detailed thermodynamic analysis of a bound quantum system: the Morse oscillator within the framework of Tsallis nonextensive statistics. Using the property of the bound spectrum (upper bound) of the Morse…

统计力学 · 物理学 2025-11-04 Arpita Goswami

Three dimensional self-gravitating systems do not evolve to thermodynamic equilibrium, but become trapped in nonequilibrium quasistationary states. In this Letter we present a theory which allows us to a priori predict the particle…

统计力学 · 物理学 2014-09-09 Fernanda P. C. Benetti , Ana C. Ribeiro-Teixeira , Renato Pakter , Yan Levin

In this work we introduce, for the first time, as far as we know, a complete self-consist kinetic model for collisional transport in the nonextensive statistics, i.e., the generalization of the ordinary Maxwell-Boltmzann statistics…

等离子体物理 · 物理学 2018-06-08 Diego S. Oliveira , Ricardo M. O. Galvão

We use quasiparticle anisotropic hydrodynamics to study the non-conformal and non-extensive dynamics of a system undergoing boost-invariant Bjorken expansion. To introduce nonextensivity, we use an underlying Tsallis distribution with a…

核理论 · 物理学 2022-11-23 Mubarak Alqahtani , Nasser Demir , Michael Strickland

It is pointed out that the dynamics of the order parameter at a thermal critical point obeys the precepts of the nonextensive Tsallis statistics. We arrive at this conclusion by putting together two well-defined statistical-mechanical…

统计力学 · 物理学 2013-08-29 A. Robledo

Tsallis' non-extensive entropy $S_q$ enables us to treat both a power and exponential evolutions of underlying microscopic dynamics on equal footing by adjusting the variable entropic index $q$ to proper one $q^*$. We propose an alternative…

统计力学 · 物理学 2009-11-07 Wada Tatsuaki , Saito Takeshi

We discuss the occurrence of negative specific heat in a nonextensive system which has an equilibrium second-order phase transition.The specific heat is negative only in a transient regime before equilibration, in correspondence to…

核理论 · 物理学 2007-05-23 A. Rapisarda , V. Latora

The foundations for a thermo-statistical description of the called non extensive Hamiltonian systems are reconsidered. The relevance of the parametric resonance as a fundamental mechanism of the Hamiltonian chaoticity in those systems with…

统计力学 · 物理学 2007-05-23 L. Velazquez , F. Guzman

Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the inverse temperature). They contain Tsallis statistics as a special…

统计力学 · 物理学 2007-05-23 Hugo Touchette , Christian Beck

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

High-energy phenomena presenting strong dynamical correlations, long-range interactions and microscopic memory effects are well described by nonextensive versions of the canonical Boltzmann-Gibbs statistical mechanics. After a brief…

高能物理 - 格点 · 物理学 2014-05-30 Rafael B. Frigori

We show that a gas thermometer in contact with a stationary classical system out of thermal (Boltzmann) equilibrium evolves, under very general conditions, towards a state characterized by a Levy velocity distribution. Our approach is based…

统计力学 · 物理学 2009-11-07 Damian H. Zanette , Marcelo A. Montemurro

We discuss different aspects of the present status of the Statistical Physics focusing the attention on the non-extensive systems, and in particular, on the so called small systems. Multimicrocanonical Distribution and some of its geometric…

凝聚态物理 · 物理学 2009-09-25 L. Velazquez , ; F. Guzman

Tsallis' thermostatistics is by now recognized as a new paradigm for statistical mechanical considerations. However, it is still affected by a serious hindrance: the generalization of thermodynamics' zero-th law to a nonextensive scenario…

统计力学 · 物理学 2009-10-31 S. Martinez , F. Pennini , A. Plastino

The effects of the non-extensive statistics on the nonlinear propagation of perturbations have been studied within the scope of relativistic second order dissipative hydrodynamics with the non-extensive equation of state. We have shown that…

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

An analysis of the thermodynamic behavior of quantum systems can be performed from a geometrical perspective investigating the structure of the state space. We have developed such an analysis for nonextensive thermostatistical frameworks,…

统计力学 · 物理学 2009-11-11 M. Portesi , A. Plastino , F. Pennini