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Related papers: Non-extensive equilibration in relativistic matter

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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

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…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette , Marcelo A. Montemurro

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…

Statistical Mechanics · Physics 2009-11-07 J. S. Andrade , M. P. Almeida , A. A. Moreira , G. A. Farias

The relativistic Maxwell-Boltzmann distribution for the system of $N$ events with motion in space-time parametrized by an invariant ``historical time'' $\tau $ is considered without the simplifying approximation $m^2\cong M^2$, where $M$ is…

High Energy Physics - Phenomenology · Physics 2009-10-22 L. Burakovsky , L. P. Horwitz

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

We generalize Hagedorn's statistical theory of momentum spectra of particles produced in high-energy collisions using Tsallis' formalism of non-extensive statistical mechanics. Suitable non-extensive grand canonical partition functions are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Christian Beck

The definitions of the temperature in the nonextensive statistical thermodynamics based on Tsallis entropy are analyzed. A definition of pressure is proposed for nonadditive systems by using a nonadditive effective volume. The…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Qiuping A. Wang , Laurent Nivanen , Alain Le Mehaute , Michel Pezeril

In this paper we present a new derivation of the $H$-theorem and the corresponding collisional equilibrium velocity distributions, within the framework of Tsallis' nonextensive thermostatistics. Unlike previous works, in our derivation we…

Statistical Mechanics · Physics 2009-11-10 Fernando M. Ramos , Reinaldo R. Rosa , Luis A. W. Bambace

Using R\'enyi entropy, a possible thermostatistics for nonextensive systems is discussed. We show that it is possible to get the $q$-exponential distribution function for nonextensive systems having nonadditive energy but additive entropy.…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

We try to establish a connection between the hadronic distributions, in proton-proton collisions at very high transverse momentum $p_{\mathrm{T}}$, obtained via perturbative QCD and the Tsallis non extensive statistics. Our motivation is…

High Energy Physics - Phenomenology · Physics 2019-01-30 T. Bhattacharyya , J. Cleymans , S. Mogliacci , A. S. Parvan , A. S. Sorin , O. V. Teryaev

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

Nuclear Theory · Physics 2015-05-30 T. S. Biro , E. Molnar

Nonadditive composition rules for several physical quantities are treated in thermodynamics. It is argued that the zeroth law defines the existence of their additive forms, the formal logarithms. A further principle, the universal…

Statistical Mechanics · Physics 2013-01-08 P. Ván , G. G. Barnaföldi , T. S. Biró , K Ürmössy

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

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…

Statistical Mechanics · Physics 2007-05-23 M. Campisi , G. B. Bagci

We propose that transverse momentum spectra with power-law tails observed in ultrarelativistic heavy ion collisions can be interpreted as originating in a medium in thermal equilibrium. General conditions on the dynamical equations are…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Biro , G. Gyorgyi , A. Jakovac , G. Purcsel

We show that non-conventional statistical effects (due to the presence of long range forces, memory effects, correlations and fluctuations) can be very relevant in the interpretation of the experimental observables in relativistic…

Nuclear Theory · Physics 2017-08-23 W. M. Alberico , A. Lavagno , P. Quarati

The nonextensivity in a non-isothermal plasma system with the Coulombian long-range interactions is studied in the framework of Tsallis statistics. We present for first time a mathematical expression of the nonextensive parameter q based on…

Statistical Mechanics · Physics 2015-08-10 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

A general approach is presented to describing nonlinear classical Maxwell electrodynamics with conformal symmetry. We introduce generalized nonlinear constitutive equations, expressed in terms of constitutive tensors dependent on…

High Energy Physics - Theory · Physics 2020-01-29 Steven Duplij , Gerald A. Goldin , Vladimir M. Shtelen

The Tsallis distribution has been used recently to fit the transverse momentum distributions of identified particles by the STAR collaboration \cite{Abelev:2006cs} at the Relativistic Heavy Ion Collider and by the ALICE \cite{Aamodt:2011zj}…

High Energy Physics - Phenomenology · Physics 2011-06-21 J. Cleymans , D. Worku