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We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

The statistical mechanics of a cloud of particles interacting via their gravitational potentials is an old problem which encounters some issues when the traditional Boltzmann-Gibbs statistics is applied. In this article, we consider the…

Statistical Mechanics · Physics 2018-04-10 Lenin Escamilla-Herrera , Christine Gruber , Viridiana Pineda , Hernando Quevedo

A thermodynamic device placed outdoors, or a local ecosystem, is subject to a variety of different temperatures given by short-tem (daily) and long-term (seasonal) variations. In the long term a superstatistical description makes sense,…

Atmospheric and Oceanic Physics · Physics 2013-07-31 G. Cigdem Yalcin , Christian Beck

We present a systematic study for the statistical fits of the transverse momentum distributions of charged pions, Kaons and protons produced at energies ranging between 7.7 and 2670 GeV to the extensive Boltzmann-Gibbs (BG) and the…

High Energy Physics - Phenomenology · Physics 2023-10-30 Abdel Nasser Tawfik , Hayam Yassin , Eman R. Abo Elyazeed

Following the basic prescriptions of the relativistic Tsallis' non-extensive thermostatistics, we investigate from a phenomenological point of view the relevance of non-extensive statistical effects on relativistic heavy-ion collisions…

Nuclear Theory · Physics 2014-11-18 W. M. Alberico , A. Lavagno

A variety of phenomena in nuclear and high energy physics seemingly do not satisfy the basic hypothesis for possible stationary states to be of the type covered by Boltzmann-Gibbs (BG) statistical mechanics. More specifically, the system…

Statistical Mechanics · Physics 2017-08-23 C. Tsallis , Ernesto P. Borges

Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the inverse temperature). They contain Tsallis statistics as a special…

Statistical Mechanics · Physics 2007-05-23 Hugo Touchette , Christian Beck

Tsallis has proposed a generalisation of the standard entropy, which has since been applied to a variety of physical systems. In the canonical ensemble approach that is mostly used, average energy is given by an unnromalised, or normalised,…

Statistical Mechanics · Physics 2009-10-31 S. Kalyana Rama

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 analysis of high-energy particle collisions is an excellent testbed for the non-extensive statistical approach. In these reactions we are far from the thermodynamical limit. In small colliding systems, such as electron-positron or…

High Energy Physics - Phenomenology · Physics 2017-02-27 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró , Károly Ürmössy , Ádám Takács

Isospin effect of the statistical emission fragments from the equilibrated source is investigated in the frame of statistical binary decay implemented into GEMINI code, isoscaling behavior is observed and the dependences of isoscaling…

Nuclear Theory · Physics 2008-11-26 W. D. Tian , Y. G. Ma , X. Z. Cai , D. Q. Fang , W. Guo , W. Q. Shen , K. Wang , H. W. Wang , M. Veseslky

In the frame of a moving observer, the Cosmic Microwave Background (CMB) fluctuation exhibits violation of Statistical Isotropy (SI). The SI violation effect from our local motion on CMB temperature fluctuation has been measured in the…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-27 Suvodip Mukherjee , Aritra De , Tarun Souradeep

The Tsallis statistics was applied to describe the experimental data on the transverse momentum distributions of hadrons. We considered the energy dependence of the parameters of the Tsallis-factorized statistics, which is now widely used…

Nuclear Theory · Physics 2017-03-16 A. S. Parvan

Based on the Tsallis entropy, the nonextensive thermodynamic properties are studied as a q-deformation of classical statistical results using only probabilistic methods and straightforward calculations. It is shown that the constant in the…

Statistical Mechanics · Physics 2007-05-23 Franck Jedrzejewski

We derive and study quasicanonical Gibbs distribution function which is characterized by the thermostat with finite number of particles (quasithermostat). We show that this naturally leads to Tsallis nonextensive statistics and…

Statistical Mechanics · Physics 2007-05-23 A. K. Aringazin , M. I. Mazhitov

In the framework of a multisource thermal model, we describe experimental results of the transverse momentum spectra of final-state light flavour particles produced in gold-gold (Au-Au), copper-copper (Cu-Cu), lead-lead (Pb-Pb), proton-lead…

Nuclear Experiment · Physics 2016-10-26 Hua-Rong Wei , Fu-Hu Liu , Roy A. Lacey

We investigate the identified hadrons transverse momentum ($p_{\rm T}$) spectra in Pb-Pb (Pb-Pb, Xe-Xe, p-Pb) collisions at $\sqrt{s_{\rm NN}}=$ 2.76 (5.02, 5.44, 5.02) TeV in the framework of Tsallis-blast wave (TBW) model with a linear…

Nuclear Theory · Physics 2021-08-20 G. R. Che , J. B. Gu , W. C. Zhang , H. Zheng

The effect of temperature (T) and angular momentum (J) on the inverse level density parameter (k) has been studied by populating the compound nucleus $^{97}$Tc in the reaction $^{4}$He + $^{93}$Nb at four incident beam energies of 28, 35,…

We derived the expression of the normalized $q$-expectation value based on the density operator to the order $1-q$ with the physical temperature in the Tsallis nonextensive statistics of entropic parameter $q$. With the derived expression…

Statistical Mechanics · Physics 2018-10-11 Masamichi Ishihara

The transverse momentum ($p_{\rm T}$) spectra in proton-proton collisions at $\sqrt{s}$ = 7 TeV, measured by the ALICE experiment at the LHC are analyzed with a thermodynamically consistent Tsallis distribution. The information about the…

High Energy Physics - Phenomenology · Physics 2017-05-19 Arvind Khuntia , Sushanta Tripathy , Raghunath Sahoo , Jean Cleymans