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The original canonical ensemble formalism for the nonextensive entropy thermostatistics is reconsidered. It is shown that the unambiguous connection of the statistical mechanics with the equilibrium thermodynamics is provided if the…

统计力学 · 物理学 2009-11-11 A. S. Parvan

We discuss the generalized von Neumann (Tsallis) entropy and the generalized Fisher information (GFI) in nonextensive quantum systems, by using the interpolation approximation (IA) which has been shown to yield good results for the quantal…

统计力学 · 物理学 2009-09-22 Hideo Hasegawa

High-energy phenomena presenting strong dynamical correlations, long-range interactions and microscopic memory effects are well described by nonextensive versions of the canonical Boltzmann-Gibbs statistical mechanics. After a brief…

高能物理 - 格点 · 物理学 2014-05-30 Rafael B. Frigori

The definitions of the temperature in the nonextensive statistical thermodynamics based on Tsallis entropy are analyzed. A definition of pressure is proposed for nonadditive systems by using a nonadditive effective volume. The…

数据分析、统计与概率 · 物理学 2009-11-10 Qiuping A. Wang , Laurent Nivanen , Alain Le Mehaute , Michel Pezeril

This article extends the non-extensive entropy of Tsallis and uses this entropy to model an energy producing system in an absorbing heat bath. This modified non-extensive entropy is superficially identical to the one proposed by Tsallis,…

统计力学 · 物理学 2007-05-23 Mark Fleischer

The nature of dark matter (DM) and how it might interact with the particles of the Standard Model (SM) is one of greatest mysteries currently facing particle physics, and addressing these issues should provide some understanding of how the…

高能物理 - 唯象学 · 物理学 2020-10-15 Thomas D. Rueter , Thomas G. Rizzo , JoAnne L. Hewett

We show that the function beta(E) derived from the density of states of a constant heat capacity reservoir coupled to some system of interest is not identical to the physically measurable (transitive) temperature. There are, however,…

统计力学 · 物理学 2007-05-23 Eicke Ruthotto

We develop a non-extensive thermodynamic framework for Reissner--Nordstr\"om black holes based on a near-horizon photon-gas model within Tsallis statistics. We derive the generalized Bekenstein--Hawking entropy based on such an approach,…

广义相对论与量子宇宙学 · 物理学 2026-05-13 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

We investigated evolution of metric and density perturbations for Tsallis model of holographic dark energy with energy density $\sim L^{2\gamma - 4}$, where $L$ is length of event horizon or inverse Hubble parameter and $\gamma$ is…

广义相对论与量子宇宙学 · 物理学 2025-08-25 Artyom V. Astashenok , Alexander S. Tepliakov

We use the recently derived density of states for a particle confined to a spherical well in three dimensional fuzzy space to compute the thermodynamics of a gas of non-interacting fermions confined to such a well. Special emphasis is…

高能物理 - 理论 · 物理学 2016-01-20 F. G. Scholtz , J. N. Kriel , H. W. Groenewald

We consider a partially ionized gas at thermal equilibrium, in the Saha regime. The system is described in terms of a quantum plasma of nuclei and electrons. In this framework, the Coulomb interaction is the source of a large variety of…

统计力学 · 物理学 2007-05-23 A. Alastuey , V. Ballenegger , F. Cornu , Ph. A. Martin

Within Tsallis' nonextensive statistics, a model is elaborated to address self-similar time series as a thermodynamic system. Thermodynamic-type characteristics relevant to temperature, pressure, entropy, internal and free energies are…

统计力学 · 物理学 2007-05-23 A. I. Olemskoi

Considering non-Gaussian smeared matter distributions, we investigate thermodynamic behaviors of the noncommutative high-dimensional Schwarzschild-Tangherlini anti-de Sitter black hole, and obtain the condition for the existence of extreme…

高能物理 - 理论 · 物理学 2016-04-26 Yan-Gang Miao , Zhen-Ming Xu

The LHC measurements above SPS and Tevatron energies give the opportunity to test predictions of non-extensive thermodynamical picture of hadronic interaction to examine measured transverse momenta distributions for new interaction energy…

高能物理 - 唯象学 · 物理学 2014-11-21 Tadeusz Wibig

Any hint of non-gaussianity in the cosmological initial conditions will provide us with a unique window into the physics of early universe. We show that the impact of a small local primordial non-gaussianity (generated on super-horizon…

天体物理学 · 物理学 2008-12-18 Niayesh Afshordi , Andrew J. Tolley

We formulate and solve the diffusion equation over a previously studied field $\mathcal{R}$, whose construction was motivated by the Tsallis entropy composition property. We compare this solution with the solutions of the diffusion and of…

统计力学 · 物理学 2012-11-16 Nikos Kalogeropoulos

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 $(q-1)$,…

高能物理 - 唯象学 · 物理学 2016-03-17 Trambak Bhattacharyya , Arvind Khuntia , Pragati Sahoo , Prakhar Garg , Pooja Pareek , Raghunath Sahoo , Jean Cleymans

The thermodynamic relations in the Tsallis statistics were studied with physical quantities. An additive entropic variable related to the Tsallis entropy was introduced by assuming the form of the first law of the thermodynamics. The…

统计力学 · 物理学 2023-03-15 Masamichi Ishihara

The standard formulation of thermostatistics, being based on the Boltzmann-Gibbs distribution and logarithmic Shannon entropy, describes idealized uncorrelated systems with extensive energies and short-range interactions. In this letter, we…

统计力学 · 物理学 2020-07-01 S. N. Saadatmand , Tim Gould , E. G. Cavalcanti , J. A. Vaccaro

Tsallis Statistics was used to investigate the non-Boltzmann distribution of particle spectra and their dependence on particle species and beam energy in the relativistic heavy-ion collisions at SPS and RHIC. Produced particles are assumed…

核实验 · 物理学 2010-12-02 Ming Shao , Li Yi , Zebo Tang , Hongfang Chen , Cheng Li , Zhangbu Xu