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Recently the inclusive transverse momentum distributions of primary charged particles were measured for different centralities in $Pb+Pb$ collisions. A strong suppression of the nuclear modification factor in central collisions around $p_T…

High Energy Physics - Phenomenology · Physics 2015-04-03 Maciej Rybczynski , Grzegorz Wilk , Zbigniew Wlodarczyk

In the present paper are analysed the conditions for the validity of the Tsallis Statistics. The same have been done following the analogy with the traditional case: starting from the microcanonical description of the systems and analysing…

Condensed Matter · Physics 2007-05-23 L. Velazquez , F. Guzman

For non-equilibrium systems in a steady state we present two necessary and sufficient conditions for the emergence of $q$-canonical ensembles, also known as Tsallis statistics. These conditions are invariance requirements over the…

Statistical Mechanics · Physics 2019-08-23 Sergio Davis , Gonzalo Gutiérrez

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

Superstatistics generalizes Boltzmann statistics by assuming spatio-temporal fluctuations of the intensive variables. It has many applications in the analysis of experimental and simulated data. The fluctuation of the intensity variable is…

Statistical Mechanics · Physics 2024-06-21 Shaohua Guan , Qiang Chang , Wen Yao

We argue that specific fluctuations observed in high-energy nuclear collisions can be attributed to intrinsic fluctuations of temperature of the hadronizing system formed in such processes and therefore can be described by the same…

High Energy Physics - Phenomenology · Physics 2011-11-28 Grzegorz Wilk , Zbigniew Wlodarczyk

Novel results which reveal phase transition processes in the solar wind plasma during shock events are presented in this study which is the first part of a trilogy concerning the solar wind complexity. Solar wind plasma is a typical case of…

Numerous papers have appeared recently showing fits to transverse momentum ($p_T$) spectra measured at the Large Hadron Collider (LHC) in proton - proton collisions.This talk focuses on the fits extending to very large values of the…

High Energy Physics - Phenomenology · Physics 2017-03-08 J. Cleymans

We perform a Taylor series expansion of Tsallis distribution by assuming the Tsallis parameter $q$ close to 1. The $q$ value shows the deviation of a system from a thermalised Boltzmann distribution. By taking up to first order in $(q-1)$,…

High Energy Physics - Phenomenology · Physics 2016-03-17 Trambak Bhattacharyya , Arvind Khuntia , Pragati Sahoo , Prakhar Garg , Pooja Pareek , Raghunath Sahoo , Jean Cleymans

We present a simple and general argument showing that a class of dynamical correlations give rise to the so-called Tsallis nonextensive statistics. An example of a system having such a dynamics is given, exhibiting a non-Boltzmann energy…

Statistical Mechanics · Physics 2007-05-23 T. Kodama , H. -T. Elze , C. E. Aguiar , T. Koide

A detailed study of the transverse momentum distributions of charged particles produced in proton - proton collisions at LHC energies is presented. This is done using a thermodynamically consistent form of the Tsallis distribution. All…

High Energy Physics - Phenomenology · Physics 2015-06-18 M. D. Azmi , J. Cleymans

If the generalized statistics suggested by Tsallis are used in statistical mechanics, the fluctuation-dissipation theorem no longer holds. Only in the limiting case where Boltzmann statistics are recovered is the theorem applicable. In…

Superconductivity · Physics 2007-05-23 H. Uys , H. G. Miller

Large p_T transverse momentum distributions exhibit apparently a power-like behavior. We argue that, under closer inspection, this behavior is in fact decorated with some log-periodic oscillations. Assuming that this is genuine effect and…

High Energy Physics - Phenomenology · Physics 2014-03-25 Grzegorz Wilk , Zbigniew Wlodarczyk

A field theory is built for self-similar statistical systems with both generating functional being the Mellin transform of the Tsallis exponential and generator of the scale transformation that is reduced to the Jackson derivative. With…

Statistical Mechanics · Physics 2009-09-29 Alexander Olemskoi , Irina Shuda

From the Tsallis unnormalized (or Tsallis-2) statistical mechanical formulation, B\"{u}y\"{u}kkili\c{c} {\it et al.} [Phys. Lett. A 197, 209 (1995)] derived the expressions for the single-particle distribution functions (known as the…

Statistical Mechanics · Physics 2021-12-09 A. S. Parvan , T. Bhattacharyya

Classical and quantum Tsallis distributions have been widely used in many branches of natural and social sciences. But, the quantum field theory of the Tsallis distributions is relatively a less explored arena. In this article we derive the…

High Energy Physics - Phenomenology · Physics 2020-01-07 Mahfuzur Rahaman , Trambak Bhattacharyya , Jan-e Alam

The energy distribution and the energy fluctuation in the Tsallis canonical ensemble are studied with the OLM formalism but following a new way. The resulting formula for the energy fluctuation is not the same as that in previous work [Liu…

Statistical Mechanics · Physics 2015-08-10 Ran Guo , Jiulin Du

It is shown that Tsallis' generalized statistics provides a natural frame for the statistical-thermodynamical description of anomalous diffusion. Within this generalized theory, a maximum-entropy formalism makes it possible to derive a…

Statistical Mechanics · Physics 2015-06-25 Damian H. Zanette

We demonstrate that description of fluctuations observed in multiparticle production processes using Tsallis statistics approach (in which fluctuations are described by the nonextensivity parameter q) leads to a specific sum rule for…

High Energy Physics - Phenomenology · Physics 2011-06-09 Grzegorz Wilk , Zbigniew Wlodarczyk , Wojciech Wolak

The role played by non extensive thermodynamics in physical systems has been under intense debate for the last decades. With many applications in several areas, the Tsallis statistics has been discussed in details in many works and…

Statistical Mechanics · Physics 2018-10-17 Airton Deppman , Eugenio Megias , Debora P. Menezes , Tobias Frederico