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Related papers: Nonextensivity in nonequilibrium plasma systems wi…

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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

We develop a method using a coarse graining of the energy fluctuations of an equilibrium quantum system which produces simple parameterizations for the behaviour of the system. As an application, we use these methods to gain more…

Statistical Mechanics · Physics 2007-05-23 Jani Lukkarinen

We provide description of rapidity spectra of particles produced in p-anti-p collisions using anomalous diffusion approach to account for their non-equilibrium character. In particular, we exhibit connection between multiproduction…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Rybczynski , G. Wilk , Z. Wlodarczyk

There is no accepted mechanism that explains the equilibrium structures that form in collisionless cosmological N-body simulations. Recent work has identified nonextensive thermodynamics as an innovative approach to the problem. The…

Astrophysics · Physics 2008-11-26 Eric I. Barnes , Liliya L. R. Williams , Arif Babul , Julianne J. Dalcanton

We study the diffusion and thermal conductivity of charged particles in the weakly ionized plasma with the power-law q-distributions in nonextensive statistics and without the magnetic field. Electrons and ions have different q-parameters…

Plasma Physics · Physics 2019-03-19 Xiaoxue Ji , Jiulin Du

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…

Statistical Mechanics · Physics 2009-11-11 C. Vignat , A. Plastino

We review the idea of generating non-extensive stationary distributions based on abstract composition rules for the subsystem energies, in particular the relativistic generalized Boltzmann equation method. The thermodynamical behavior of…

High Energy Physics - Phenomenology · Physics 2014-11-18 Tamas S. Biro , Gabor Purcsel , Karoly Urmossy

The origin of non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Recent results indicate a connection between non-extensive statistics and thermofractals. After reviewing this connection, we…

High Energy Physics - Theory · Physics 2020-03-02 Airton Deppman , Eugenio Megias , Debora P. Menezes

We found, from the analysis of $M$ vs. $T$ curves of some manganese oxides (manganites), that these systems do not follow the traditional Maxwell-Boltzmann statistics, but the Tsallis statistics, within the \QTR{em}{normalized} formalism.…

Soft Condensed Matter · Physics 2009-11-07 M. S. Reis , J. C. C. Freitas , M. T. D. Orlando , E. K. Lenzi , I. S. Oliveira

Recent progresses in statistical mechanics indicate the Tsallis nonextensive thermostatistics as the natural generalization of the standard classical and quantum statistics, when memory effects and long-range forces are not negligible. In…

Nuclear Theory · Physics 2007-05-23 G. Kaniadakis , A. Lavagno , M. Lissia , P. Quarati

We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis' non-extensive entropy. Previous papers (Taruya & Sakagami, Physica A 307 (2002) 185 (cond-mat/0107494); ibid. (2002) in press…

Statistical Mechanics · Physics 2009-11-07 Atsushi Taruya , Masa-aki Sakagami

The effects of the non-extensive statistics on the nonlinear propagation of perturbations have been studied within the scope of relativistic second order dissipative hydrodynamics with the non-extensive equation of state. We have shown that…

We discuss the dynamics and thermodynamics of systems with weak long-range interactions. Generically, these systems experience a violent collisionless relaxation in the Vlasov regime leading to a (usually) non-Boltzmannian quasi stationary…

Statistical Mechanics · Physics 2009-11-13 Pierre-Henri Chavanis

With particular attention to the recently postulated introduction of a non-extensive generalization of Boltzmann-Gibbs statistics, we study the long-term stellar dynamical evolution of self-gravitating systems on timescales much longer than…

Astrophysics · Physics 2009-11-07 Atsushi Taruya , Masa-aki Sakagami

We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of non-thermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic…

High Energy Physics - Phenomenology · Physics 2022-07-01 Aleksandr N. Mikheev , Aleksas Mazeliauskas , Jürgen Berges

A basic statistical mechanics analysis of many-body systems with non-reciprocal pair interactions is presented. Different non-reciprocity classes in two- and three-dimensional binary systems (relevant to real experimental situations) are…

Statistical Mechanics · Physics 2015-10-09 A. V. Ivlev , J. Bartnick , M. Heinen , H. Löwen

The nonextensive kinetic theory for degenerate quantum gases is discussed in the general relativistic framework. By incorporating nonadditive modifications in the collisional term of the relativistic Boltzmann equation and entropy current,…

General Relativity and Quantum Cosmology · Physics 2017-10-25 A. P. Santos , R. Silva , J. S. Alcaniz , J. A. S. Lima

The paper, authored by J. A. S. Lima et al, was published in Phys. Rev. E in 2000 has discussed the dispersion relation and Landau damping of Langmuir wave in the context of the nonextensive statistics proposed by Tsallis. It has been cited…

Plasma Physics · Physics 2013-06-05 Xiao-Chang Chen , X. Q. Li

We present a stability analysis of the classical ideal gas in a new theory of nonextensive statistics and use the theory to understand the phenomena of negative specific heat in some self-gravitating systems. The stability analysis is made…

Statistical Mechanics · Physics 2015-08-10 Liyan Liu , Zhipeng Liu , Lina Guo

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…

Statistical Mechanics · Physics 2018-04-25 Masamichi Ishihara