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We use the non-equlibrium statistical field theory for classical particles, recently developed by Mazenko and Das and Mazenko, together with the free generating functional we have previously derived for point sets initially correlated in…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-06 Matthias Bartelmann , Felix Fabis , Daniel Berg , Elena Kozlikin , Robert Lilow , Celia Viermann

We investigate the multiplicity fluctuations observed in high-energy nuclear collisions attributing them to intrinsic fluctuations of temperature of the hadronizing system formed in such processes. To account for these fluctuations we…

High Energy Physics - Phenomenology · Physics 2009-05-07 Grzegorz Wilk , Zbigniew Wlodarczyk

The cornerstones of Boltzmann-Gibbs and nonextensive statistical mechanics respectively are the entropies $S_{BG} \equiv -k \sum_{i=1}^W p_i \ln p_i $ and $S_{q}\equiv k (1-\sum_{i=1}^Wp_i^{q})/(q-1) (q\in{\mathbb R} ; S_1=S_{BG})$. Through…

Statistical Mechanics · Physics 2017-08-23 Constantino Tsallis

The dynamics of QCD matter is often described using effective mean field (MF) models based on Boltzmann-Gibbs (BG) extensive statistics. However, such matter is normally produced in small packets and in violent collisions where the usual…

High Energy Physics - Phenomenology · Physics 2019-03-22 Jacek Rożynek , Grzegorz Wilk

Systems with long-range (LR) forces, for which the interaction potential decays with the interparticle distance with an exponent smaller than the dimensionality of the embedding space, remain an outstanding challenge to statistical physics.…

Statistical Mechanics · Physics 2016-03-23 Yan Levin , Renato Pakter , Felipe B. Rizzato , Tarcísio N. Teles , Fernanda P. da C. Benetti

Gibbs-Boltzmann entropy leads to systems that have a strong dependence on initial conditions. In reality, most materials behave quite independently of initial conditions. Nonextensive entropy or Tsallis entropy leads to nonextensive…

Statistical Mechanics · Physics 2022-07-01 Saman Amiri , Mahdi Mirzaee , Mohammad Mazhari

In this paper, the particles of quantum gases, that is, bosons and fermions are regarded as g-ons which obey fractional exclusion statistics. With this point of departure the thermostatistical relations concerning the Bose and Fermi systems…

Statistical Mechanics · Physics 2015-06-24 F. Buyukkilic , D. Demirhan , ;

The aim of this paper is to investigate the effect of a non-extensive form of statistical mechanics proposed by Tsallis on the formation of a quark-gluon plasma (QGP). We suggest to account for the effects of the dominant part of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. M. Teweldeberhan , H. G. Miller , R. Tegen

The framework of non-extensive statistical mechanics, proposed by Tsallis, has been used to describe a variety of systems. The non-extensive statistical mechanics is usually introduced in a formal way, using the maximization of entropy. In…

Statistical Mechanics · Physics 2016-02-17 Julius Ruseckas

We investigate the non-Gaussian effects of the Saha equation in Rindler space via Tsallis statistics. By considering a system with cylindrical geometry, we deduce the non-Gaussian Saha ionization equation for a partially ionized hydrogen…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 L. L. Sales , F. C. Carvalho

We studied the thermodynamic quantities and the probability distribution, expressing the probability distribution as a function of the energy, in the canonical ensemble within the framework of the Tsallis statistics, which is characterized…

Statistical Mechanics · Physics 2025-12-16 Masamichi Ishihara

Non-extensive Tsallis thermostatistics is a widespread paradigm to describe large-scale gravitational systems. In this work we use Tsallis Cosmology to study thermodynamic gravity and derive modified Friedmann equations. We show that…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Giuseppe Gaetano Luciano , Jaume Gine

The lepton pair production rate at finite temperature and at next-to-leading-order (NLO) is calculated for quark-gluon plasma at non-zero baryon density. Yields are obtained using a (3+1)D multicomponent simulation capable of reproducing…

Nuclear Theory · Physics 2023-12-19 Jessica Churchill , Lipei Du , Bailey Forster , Han Gao , Greg Jackson , Sangyong Jeon , Charles Gale

This paper applies the formalism of classical, Gibbs-Boltzmann statistical mechanics to the phenomenon of non-thermal damage. As an example, a non-thermal fiber-bundle model with the global uniform (meanfield) load sharing is considered.…

Statistical Mechanics · Physics 2008-10-01 S. G. Abaimov

Particle production in high-energy collisions is often addressed within the framework of the thermal (statistical) model. We present a method to calculate the canonical partition function for the hadron resonance gas with exact conservation…

High Energy Physics - Phenomenology · Physics 2014-11-20 F. Beutler , A. Andronic , P. Braun-Munzinger , K. Redlich , J. Stachel

We perform a systematic comparison of the statistical model parametrization of hadron abundances measured in high energy pp, AA and e+e- collisions. The basic aim of the study is to test if the quality of the description depends on the…

High Energy Physics - Phenomenology · Physics 2014-11-20 F. Becattini , P. Castorina , A. Milov , H. Satz

The extended Gaussian ensemble introduced recently as a generalization of the canonical ensemble, which allows to treat energy fluctuations present in the system, is used to analyze the inelasticity distributions in high energy…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Osada , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Here we comment on the thermodynamic inconsistency problem and the reformulation of statistical mechanics of widely studied quasiparticle models of quark-gluon plasma. Their starting relation, the expression for pressure itself is a wrong…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vishnu M. Bannur

Starting from the presence of non-ideal plasma effects due to strongly coupled plasma in the early stage of relativistic heavy-ion collisions, we investigate, from a phenomenological point of view, the relevance of non-conventional…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. M. Alberico , P. Czerski , A. Lavagno , M. Nardi , V. Soma'

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu