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Relativistic particle production often requires the use of Tsallis statistics to account for the apparently power-like behavior of transverse momenta observed in the data even at a few GeV/c. In such an approach this behavior is attributed…

高能物理 - 唯象学 · 物理学 2011-04-20 Grzegorz Wilk , Zbigniew Wlodarczyk

By constructing the super-particle representation of the free boson gas, we propose a new statistics in which the particles are non-exclusive. This statistics can be considered as a generalization of Bose-Einstein's. The possible…

统计力学 · 物理学 2007-05-23 Yupeng Wang

The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic…

统计力学 · 物理学 2009-10-31 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

We apply the first law of thermodynamics to the apparent horizon of the universe with the power-law corrected and non-extensive Tsallis entropies rather than the Bekenstein-Hawking one. We examine the cosmological properties in the two…

宇宙学与河外天体物理 · 物理学 2020-01-14 Chao-Qiang Geng , Yan-Ting Hsu , Jhih-Rong Lu , Lu Yin

The author studied the effects of the environment described by Tsallis statistics in quantum mechanics, when the deviation from Boltzmann-Gibbs (BG) statistics is small. The $x^{4}$ model was used and the squeeze angle caused by the…

统计力学 · 物理学 2011-10-31 Masamichi Ishihara

Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PD's) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in…

统计力学 · 物理学 2009-11-11 C. Vignat , A. Plastino

In the Bose-Einstein condensation of interacting atoms or molecules such as 87Rb, 23Na and 7Li, the theoretical understanding of the transition temperature is not always obvious due to the interactions or zero point energy which cannot be…

Tsallis has proposed a generalization of Boltzmann-Gibbs thermostatistics by introducing a family of generalized nonextensive entropy functionals with a single parameter $q$. These reduce to the extensive Boltzmann-Gibbs form for $q=1$, but…

统计力学 · 物理学 2007-05-23 Bruce M. Boghosian

The description of the abundance and clustering of halos for non-Gaussian initial conditions has recently received renewed interest, motivated by the forthcoming large galaxy and cluster surveys, which can potentially yield constraints of…

宇宙学与河外天体物理 · 物理学 2010-11-02 M. Grossi , L. Verde , C. Carbone , K. Dolag , E. Branchini , F. Iannuzzi , S. Matarrese , L. Moscardini

In this study the q-statistics of Tsallis theory is testified in various complex physical systems. Especially the Tsallis q-triplet is estimated for space plasmas atmospheric dynamics and seismogenesis as well as for the brain and cardiac…

The ionizing background determines the ionization balance and the thermodynamics of the cosmic gas. It is therefore a fundamental ingredient to theoretical and empirical studies of both the IGM and galaxy formation. We present here a new…

宇宙学与河外天体物理 · 物理学 2009-09-28 C. -A. Faucher-Giguere , A. Lidz , M. Zaldarriaga , L. Hernquist

The Sachs-Wolfe temperature fluctuations produced by primordial density perturbations are proportional to the potential field \phi, which is a weighted integral over the density field \delta. Because of the central limit theorem, \phi can…

天体物理学 · 物理学 2011-05-12 Robert J. Scherrer , Robert K. Schaefer

The ultra-low density limit of Saha ionization formula suggests that, in this limit, matter would prefer to remain ionized.This has a very important implication for cosmic structures known as Voids.These are ultra-low density (much less…

天体物理学 · 物理学 2007-05-23 Mofazzal Azam

Superstatistics is a superposition of two different statistics relevant for driven nonequilibrium systems with a stationary state and intensive parameter fluctuations. It contains Tsallis statistics as a special case. After briefly…

统计力学 · 物理学 2009-11-10 Christian Beck

Tsallis q-extension of statistics and fractal generalization of dynamics are two faces of the same physical reality, as well as the Kernel modern complexity theory. The fractal generalization dynamics is based at the multiscale -…

We derive Tsallis entropy, Sq, from universal thermostat independence and obtain the functional form of the corresponding generalized entropy-probability relation. Our result for finite thermostats interprets thermodynamically the subsystem…

高能物理 - 唯象学 · 物理学 2014-05-19 T. S. Biró , G. G. Barnaföldi , P. Ván

We report a technique to calculate the impact of distinct physical processes inducing non-Gaussianity on the cosmological density field. A natural decomposition of the cosmic genus statistic into an orthogonal polynomial sequence allows…

宇宙学与河外天体物理 · 物理学 2012-05-07 J. Berian James

We generalize Tweed's seminal Born~I formalism for the electron-impact double ionization of two-electron atomic systems ($\text{H}^-$, $\text{He}$, $\text{Li}^+$) to non-extensive plasma environments described by Tsallis $q$-statistics. The…

综合物理 · 物理学 2026-05-28 Abdelmalek Boumali

The Tsallis entropy, which is a generalization of the Boltzmann-Gibbs entropy, plays a central role in nonextensive statistical mechanics of complex systems. A lot of efforts have recently been made on establishing a dynamical foundation…

统计力学 · 物理学 2009-11-11 Sumiyoshi Abe , Yutaka Nakada

We use hydrodynamical simulations from the OWLS project to investigate the dependence of the physical properties of galaxy populations at redshift 2 on the assumed star formation law, the equation of state imposed on the unresolved…

宇宙学与河外天体物理 · 物理学 2015-06-12 Marcel R. Haas , Joop Schaye , C. M. Booth , Claudio Dalla Vecchia , Volker Springel , Tom Theuns , Robert P. C. Wiersma