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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…

Statistical Mechanics · Physics 2009-11-07 Wada Tatsuaki , Saito Takeshi

We study the nonextensive thermodynamics for open systems. On the basis of the maximum entropy principle, the dual power-law q-distribution functions are re-deduced by using the dual particle number definitions and assuming that the…

Statistical Mechanics · Physics 2020-02-26 Yahui Zheng , Haining Yu , Jiulin Du

It is pointed out that the constraint to be imposed to the maximization of the entropy for processes outside the class of thermodynamical systems, is generally not well defined. In fact, any probability distribution can be derived from…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Marcelo M. Montemurro

Nonextensive statistics has attracted attention as a description of particle spectra in nuclear collisions at QCD energies. First, we construct the equation of state by incorporating Tsallis statistics based on the hadron resonance gas and…

Nuclear Theory · Physics 2022-09-21 K. Kyan , A. Monnai

An ion in a radiofrequency ion trap interacting with a buffer gas of ultracold neutral atoms is a driven dynamical system which has been found to develop a non-thermal energy distribution with a power law tail. The exact analytical form of…

Atomic Physics · Physics 2017-04-26 I. Rouse , S. Willitsch

This is a study of composition rule and temperature definition for nonextensive systems containing different $q$ subsystems. The physical meaning of the multiplier $\beta$ associated with the energy expectation in the optimization of…

Statistical Mechanics · Physics 2016-08-16 Qiuping A. Wang , Laurent Nivanen , Alain Le Méhauté

Transverse momentum spectra of particles produced in high energy collisions are very important due to their relations to the excitation degree of interacting system. To describe the transverse momentum spectra, one can use more than one…

High Energy Physics - Phenomenology · Physics 2018-12-03 Qi Wang , Pei-Pin Yang , Fu-Hu Liu

The non-extensive statistical mechanics has been applied to describe a variety of complex systems with inherent correlations and feedback loops. Here we present a dynamical model based on previously proposed static model exhibiting in the…

Statistical Mechanics · Physics 2016-04-20 A. Kononovicius , J. Ruseckas

The transverse momentum ($p_T$) spectra from heavy-ion collisions at intermediate momenta are described by non-extensive statistical models. Assuming a fixed relative variance of the temperature fluctuating event by event or alternatively a…

High Energy Physics - Phenomenology · Physics 2018-01-17 Keming Shen , Tamas S. Biro , Enke Wang

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…

Statistical Mechanics · Physics 2009-11-07 S. Martinez , F. Pennini , A. Plastino , H. Vucetich

It is shown that a small system in thermodynamic equilibrium with a finite thermostat can have a q-exponential probability distribution which closely depends on the energy nonextensivity and the particle number of the thermostat. The…

Statistical Mechanics · Physics 2008-11-13 Congjie Ou , Wei Li , Jiulin Du , Francois Tsobnang , Jincan Chen , Alain Le Mehaute , Qiuping A. Wang

We study the nonextensive parameter for the rotating astrophysical systems with power-law distributions, including both the rotating self-gravitating system and the rotating space plasma. We extend the equation of nonextensive parameter to…

Statistical Mechanics · Physics 2017-02-10 Haining Yu , Jiulin Du

We show that within classical statistical mechanics without taking the thermodynamic limit, the most general Boltzmann factor for the canonical ensemble is a q-exponential function. The only assumption here is that microcanonical…

Statistical Mechanics · Physics 2009-11-11 Rudolf Hanel , Stefan Thurner

Based on the two-flavor NJL model with Tsallis non-extensive statistics, this work explores the QCD phase structure and thermodynamic properties under strong magnetic fields and chiral imbalance. The Tsallis parameter $q$ captures…

High Energy Physics - Phenomenology · Physics 2026-05-25 Xiang-Qiong Liu , Sheng-Qin Feng

We have studied the impact of the nonextensivity on the transport coefficients related to charge and heat in thermal QCD. For this purpose, the electrical ($\sigma_{\rm el}$), Hall ($\sigma_{\rm H}$), thermal ($\kappa$) and Hall-type…

High Energy Physics - Phenomenology · Physics 2023-09-26 Shubhalaxmi Rath , Sadhana Dash

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…

Statistical Mechanics · Physics 2016-11-30 Trambak Bhattacharyya , Jean Cleymans , Sylvain Mogliacci

We describe a simple and accurate framework for modeling the statistical behavior of both fully developed turbulence and short-term dynamics of financial markets based on the formalism of Tsallis' generalized non-extensive thermostatistics.…

Condensed Matter · Physics 2007-05-23 F. M. Ramos , C. Rodrigues Neto , R. R. Rosa

We present a stability analysis of the classical ideal gas in a new theory of nonextensive statistics and use the theory to understand the phenomena of negative specific heat in some self-gravitating systems. The stability analysis is made…

Statistical Mechanics · Physics 2015-08-10 Liyan Liu , Zhipeng Liu , Lina Guo

We present a view of the non-extensive thermodynamics based on general composition rules. A formal logarithm maps these rules to the addition, which can be used to generate stationary distributions by standard techniques. We review the most…

High Energy Physics - Phenomenology · Physics 2009-11-13 T. S. Biro , G. Purcsel

We derive the analytical expressions for the first and second order terms in the hadronic transverse momentum spectra obtained from the Tsallis normalized (Tsallis-1) statistics. We revisit the zeroth order quantum Tsallis distributions and…

Nuclear Theory · Physics 2021-06-30 Trambak Bhattacharyya , Alexandru S. Parvan