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The current status of implementing Tsallis (nonextensive) statistics on high-energy physics is briefly reviewed. The remarkably low freezeout-temperature, which apparently fails to reproduce the first-principle lattice QCD thermodynamics…

高能物理 - 唯象学 · 物理学 2018-04-30 Abdel Nasser Tawfik

We have studied Saha equation for photo-ionization of hydrogen atoms in partially ionized relativistic hydrogen plasma in Rindler space. Following the principle of equivalence, we have obtained the abundances of neutral hydrogen atoms,…

广义相对论与量子宇宙学 · 物理学 2018-10-10 Sanchita Das , Somenath Chakrabarty

Nonadditive Tsallis $q$-statistics has successfully been applied for a plethora of systems in natural sciences and other branches of knowledge. Nevertheless, its foundations have been severely criticised by some authors based on the…

统计力学 · 物理学 2020-05-20 J. A. S. Lima , A. Deppman

We show that there exists a natural way to define a condition of generalized thermal equilibrium between systems governed by Tsallis thermostatistics, under the hypotheses that i) the coupling between the systems is weak, ii) the structure…

统计力学 · 物理学 2007-09-17 Massimo Marino

The impacts of Compton scattering of hot cosmic gas with the cosmic microwave background radiation (Sunyaev-Zel'dovich effect, SZ) are consistently quantified in Gaussian and non-Gaussian scenarios, by means of 3D numerical, N-body,…

宇宙学与河外天体物理 · 物理学 2015-06-17 Francesco Pace , Umberto Maio

In the present paper, the Tsallis statistics in the grand canonical ensemble was reconsidered in a general form. The thermodynamic properties of the nonrelativistic ideal gas of hadrons in the grand canonical ensemble was studied…

核理论 · 物理学 2017-03-16 A. S. Parvan

We study the applications of non-extensive Tsallis statistics to high energy and hadron physics. These applications include studies of $pp$ collisions, equation of state of QCD, as well as Bose-Einstein condensation. We also analyze the…

Flavor mixing of quantum fields was found to be responsible for the breakdown of the thermal Unruh effect. Recently, this result was revisited in the context of nonextensive Tsallis thermostatistics, showing that the emergent vacuum…

高能物理 - 理论 · 物理学 2025-03-25 Giuseppe Gaetano Luciano , Massimo Blasone

The effects of the Tsallis distribution which has two parameters, $q$ and $T$,on physical quantities are studied using the linear sigma model in chiral phase transitions. The Tsallis distribution approaches the Boltzmann-Gibbs distribution…

高能物理 - 唯象学 · 物理学 2015-11-10 Masamichi Ishihara

We describe some recent applications of Tsallis statistics in fully developed hydrodynamic turbulence and high energy physics. For many of these applications nonextensive properties arise from spatial fluctuations of the temperature or the…

统计力学 · 物理学 2015-06-24 Christian Beck

We construct modified cosmological scenarios through the application of the first law of thermodynamics in the universe horizon, but using the generalized, nonextensive Tsallis entropy instead of the usual Bekenstein-Hawking one. We result…

广义相对论与量子宇宙学 · 物理学 2018-12-07 Andreas Lymperis , Emmanuel N. Saridakis

The nonextensive statistics based on Tsallis entropy have been so far used for the systems composed of subsystems having same $q$. The applicability of this statistics to the systems with different $q$'s is still a matter of investigation.…

统计力学 · 物理学 2007-05-23 Qiuping A. Wang

In this work, we present a detailed thermodynamic analysis of a bound quantum system: the Morse oscillator within the framework of Tsallis nonextensive statistics. Using the property of the bound spectrum (upper bound) of the Morse…

统计力学 · 物理学 2025-11-04 Arpita Goswami

In this article, we investigate the thermodynamic stability of the FRW universe for two examples, Tsallis entropy and loop quantum gravity, by considering non-extensive statistical mechanics. The heat capacity, free energy and pressure of…

广义相对论与量子宇宙学 · 物理学 2022-01-03 Yang Liu

Within the Tsallis thermodynamics' framework, and using scaling properties of the entropy, we derive a generalization of the Gibbs-Duhem equation. The analysis suggests a transformation of variables that allows standard thermodynamics to be…

统计力学 · 物理学 2009-11-07 Eduard Vives , Antoni Planes

We analyze how the thermal history of the universe is influenced by the statistical description, assuming a deviation from the usual Bose-Einstein, Fermi-Dirac and Boltzmann-Gibbs distribution functions. These deviations represent the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 M. E. Pessah , Diego F. Torres , H. Vucetich

We studied the effects of the nonextensivity on the phase transition for the system of small volume $V$ in the $\phi^4$ theory in the Tsallis nonextensive statistics of entropic parameter $q$ and temperature $T$, when the deviation from the…

统计力学 · 物理学 2018-04-25 Masamichi Ishihara

We present a semi-analytic model for the thermal and ionization history of the universe at 1000 >~ z >~ 3. This model incorporates much of the essential physics included in full-scale hydrodynamical simulations, such as (1) gravitational…

天体物理学 · 物理学 2009-10-31 Weihsueh A. Chiu , Jeremiah P. Ostriker

Previous results on Renyi and Wang's formalism of the Tsallis thermostatics are founded by using an extensive variable z connected to the entropic parameter q. It is shown that in the thermodynamical limit both the Tsallis and Renyi…

统计力学 · 物理学 2007-05-23 A. S. Parvan , T. S. Biro

The formation and decay of metastable bound states can deplete significantly the density of multi-TeV thermal-relic dark matter. The effect depends on the interplay of bound-state formation, ionisation, transition and decay processes.…

高能物理 - 唯象学 · 物理学 2024-06-19 Christiana Vasilaki , Kalliopi Petraki