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Related papers: Inhomogeneous Tsallis distributions in the HMF mod…

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(1+1)d QFTs provide a tractable arena for understanding the emergence of hydrodynamics in thermal states. At high temperatures this process is governed by the weak breaking of conformal symmetry, and so in this limit many features of the…

High Energy Physics - Theory · Physics 2025-12-15 Richard A. Davison , Hanzhi Jiang

Plastino and Curado [Phys. Rev. E 72, 047103 (2005)] recently determined the equilibrium probability distribution for the canonical ensemble using only phenomenological thermodynamical laws as an alternative to the entropy maximization…

Statistical Mechanics · Physics 2015-05-27 Thomas Oikonomou , Gokhan Baris Bagci , Ugur Tirnakli

We show that the configurational probability distribution of a classical gas always belongs to the q-exponential family. Hence, the configurational subsystem is non-extensive in the sense of Tsallis. One of the consequences of this…

Statistical Mechanics · Physics 2015-05-13 Jan Naudts , Maarten Baeten

We analysed the identified hadron multiplicity predictions of the modified thermodynamical model of the multiparticle production processes with non-extensive statistic. The replacement of the standard Boltzmann exponential factor by the…

High Energy Physics - Phenomenology · Physics 2015-06-15 T. Wibig

Spatially resolved studies of star forming regions show that the assumption of spherical geometry is not realistic in most cases, with a major complication posed by the gas being ionised by multiple non-centrally located stars or star…

Astrophysics · Physics 2009-06-23 B. Ercolano , N. Bastian , G. Stasinska

We study the microscopic dynamics of the metastable Quasi-Stationary States (QSS) in the Hamiltonian Mean Field (HMF) model, a Hamiltonian system of N classical inertial spins with infinite-range interactions which shows a second order…

Statistical Mechanics · Physics 2009-11-10 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

We apply the Nyquist method to the Hamiltonian Mean Field (HMF) model in order to settle the linear dynamical stability of a spatially homogeneous distribution function with respect to the Vlasov equation. We consider the case of Maxwell…

Statistical Mechanics · Physics 2015-05-13 P. H. Chavanis , L. Delfini

We study the thermodynamic geometry of the one-dimensional Blume--Capel model within the Tsallis nonextensive framework to understand how generalized statistics modify correlation structure and pseudo-critical behaviour. Using the transfer…

Statistical Mechanics · Physics 2026-03-19 Amijit Bhattacharjee , Himanshu Bora , Prabwal Phukon

After introducing the fundamental properties of self-gravitating systems, we present an application of Tsallis' generalized entropy to the analysis of their thermodynamic nature. By extremizing the Tsallis entropy, we obtain an equation of…

Statistical Mechanics · Physics 2009-11-10 Masa-aki Sakagami , Atsushi Taruya

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. Excluded volume effects are taken into account in the thermodynamically self-consistent way. The model exhibits a 1-st order phase…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

The incomplete nonextensive statistics in the canonical and microcanonical ensembles is explored in the general case and in a particular case for the ideal gas. By exact analytical results for the ideal gas it is shown that taking the…

Statistical Mechanics · Physics 2011-01-17 A. S. Parvan , T. S. Biro

A multicanonical formalism is introduced to describe statistical equilibrium of complex systems exhibiting a hierarchy of time and length scales, where the hierarchical structure is described as a set of nested "internal heat reservoirs"…

Statistical Mechanics · Physics 2012-11-15 Domingos S. P. Salazar , Giovani L. Vasconcelos

The charged-particle transverse momentum spectra ($p_{\rm T}$-spectra) measured by the ALICE collaboration for $pp$ collisions at $\sqrt {s} =$ 7 and 13 TeV have been studied using a thermodynamically consistent form of Tsallis…

High Energy Physics - Phenomenology · Physics 2024-03-08 Girija Sankar Pradhan , Dushmanta Sahu , Rutuparna Rath , Raghunath Sahoo , Jean Cleymans

A great many observables seen in intermediate energy heavy ion collisions can be explained on the basis of statistical equilibrium. Calculations based on statistical equilibrium can be implemented in microcanonical ensemble (energy and…

Nuclear Theory · Physics 2009-11-10 C. B. Das , S. Das Gupta , W. G. Lynch , A. Z. Mekjian , M. B. Tsang

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 show that within classical statistical mechanics it is possible to naturally derive power law distributions which are of Tsallis type. The only assumption is that microcanonical distributions have to be separable from of the total system…

Statistical Mechanics · Physics 2009-11-10 Rudolf Hanel , Stefan Thurner

The Hulth\'{e}n potential is a short-range potential that has been widely used in various fields of physics. In this paper, we investigate the distribution functions for the Hulth\'{e}n potential by using statistical and superstatistical…

Statistical Mechanics · Physics 2024-09-11 Amir Hossein Khorram manesh , J. Sadeghi , Saeed Noori Gashti

We present a few explicit counterexamples to the widely spread belief about an exclusive role of the bimodal nuclear fragment size distributions as the first order phase transition signal. In thermodynamic limit the bimodality may appear at…

Nuclear Theory · Physics 2013-11-28 V. V. Sagun , A. I. Ivanytskyi , K. A. Bugaev , D. R. Oliinychenko

We uncover the basis for the validity of the Tsallis statistics at the onset of chaos in logistic maps. The dynamics within the critical attractor is found to consist of an infinite family of Mori's $q$-phase transitions of rapidly…

Statistical Mechanics · Physics 2009-11-11 E. Mayoral , A. Robledo

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
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