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The non-Maxwellian $\kappa$-distributions have been detected in the solar transition region and flares. These distributions are characterized by a high-energy tail and a near-Maxwellian core and are known to have significant impact on the…

Solar and Stellar Astrophysics · Physics 2015-06-23 Elena Dzifčáková , Jaroslav Dudík , Pavel Kotrč , František Fárník , Alena Zemanová

We study the effect of the velocity distributions of the plasma particles on the equilibrium charge of dust particles which suffer collisional charging, considering different forms of both isotropic and anisotropic Kappa distributions for…

Plasma Physics · Physics 2025-09-25 Luiz Fernando Ziebell , Rudi Gaelzer

Transport coefficients in Lorentz plasma with the power-law kappa-distribution are studied by means of using the transport equation and macroscopic laws of Lorentz plasma without magnetic field. Expressions of electric conductivity,…

Plasma Physics · Physics 2013-09-10 Jiulin Du

Velocity distribution functions (VDFs) that exhibit a power-law dependence on the high-energy tail have been the subject of intense research by the plasma physics community. Such functions, known as kappa or superthermal distributions, have…

Plasma Physics · Physics 2016-02-23 Rudi Gaelzer , Luiz Fernando Ziebell

Kappa distributions are ubiquitous in space and astrophysical poorly collisional plasmas, such as the solar wind, suggesting that microscopic and macroscopic properties of these non-equilibrium plasmas are highly conditioned by the…

Plasma Physics · Physics 2020-12-04 Pablo S. Moya , Marian Lazar , Stefaan Poedts

An extension of Maxwell's original prescription for an ideal gas is adopted to derive a broad class of Kappa-type velocity distributions, encompassing both fat and short-tailed forms. Within this general framework, a physically consistent…

Plasma Physics · Physics 2025-08-04 J. A. S. Lima , M. H. Benetti

Pronounced core-halo patterns of dark matter and gas density profiles, observed in relaxed galaxies and clusters, were hitherto fitted by empirical power-laws. On the other hand, similar features are well known from astrophysical plasma…

Astrophysics · Physics 2009-11-11 M. P. Leubner

Adopting a bottom-up perspective, we propose a novel two-parametric nonadditive entropy, $S_{\kappa\ell}$, associated with a Kappa-type power-law velocity distribution, $F_{\kappa\ell}(v)$, recently derived in the literature. By formulating…

Statistical Mechanics · Physics 2025-12-04 J. A. S. Lima , M. H. Benetti

Anomalous diffusion and non-Gaussian statistics are detected experimentally in a two-dimensional driven-dissipative system. A single-layer dusty plasma suspension with a Yukawa interaction and frictional dissipation is heated with laser…

Soft Condensed Matter · Physics 2009-11-13 Bin Liu , J. Goree

In this letter, we determine the $\kappa$-distribution function for a gas in the presence of an external field of force described by a potential U(${\bf r}$). In the case of a dilute gas, we show that the $\kappa$-power law distribution…

Astrophysics · Physics 2009-11-13 J. M. Silva , R. Silva , J. A. S. Lima

In this paper we discuss the collisionless transport equations, continuity, momentum and energy conservation, derived from a kinetic exospheric model of the solar wind based on a kappa velocity distribution function of the electrons. The…

Solar and Stellar Astrophysics · Physics 2014-10-15 Gabriel Voitcu , Viviane Pierrard , Herve Lamy , Joseph Lemaire , Marius Echim

Nonthermal velocity distributions with much greater tails than the Maxwellian have been observed for radical atoms in plasmas for a long time. Historically, such velocity distributions have been modeled by a two-temperature Maxwell…

Plasma Physics · Physics 2024-05-09 Keisuke Fujii

A new kinetic theory Boltzmann-like collision term including correlations is proposed. In equilibrium it yields the one-particle distribution function in the form of a generalised-Lorentzian resembling but not being identical with the…

Plasma Physics · Physics 2009-10-31 R. A. Treumann

This note derives the various forms of entropy of systems subject to Olbert distributions (generalized Lorentzian probability distributions known as $\kappa$-distributions) which are frequently observed particularly in high temperature…

Statistical Mechanics · Physics 2020-07-24 R. A. Treumann , W. Baumjohann

The various distribution functions can encompass the diverse characteristics of the magnetospheric plasma of surrounding neutron stars in both hot and cold environments; however, the Maxwell-J\"uttner distribution is so far widely used to…

High Energy Astrophysical Phenomena · Physics 2025-05-02 M. Mousavi , J. Benáček

Relativistic magnetically dominated turbulence is an efficient engine for particle acceleration in a collisionless plasma. Ultrarelativistic particles accelerated by interactions with turbulent fluctuations form non-thermal power-law…

Plasma Physics · Physics 2023-06-14 Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn

A study of the effects of non-extensivity on the modelling of atomic physics in hot dense plasmas is proposed within Tsallis' statistics. The electronic structure of the plasma is calculated through an average-atom model based on the…

Plasma Physics · Physics 2015-05-30 Jean-Christophe Pain , Denis Teychenné , Franck Gilleron

Superstatistics is a framework in nonequilibrium statistical mechanics that successfully describes a wide variety of complex systems, including hydrodynamic turbulence, weakly-collisional plasmas, cosmic rays, power grid fluctuations, among…

Statistical Mechanics · Physics 2020-01-29 Sergio Davis

In this paper we present a new derivation of the $H$-theorem and the corresponding collisional equilibrium velocity distributions, within the framework of Tsallis' nonextensive thermostatistics. Unlike previous works, in our derivation we…

Statistical Mechanics · Physics 2009-11-10 Fernando M. Ramos , Reinaldo R. Rosa , Luis A. W. Bambace

The paper studies the drift instability in Kappa-distributed inhomogeneous plasmas. Weak inhomogeneity and local approximation are assumed. The linear dispersion relation is expressed in a novel integral representation that involves the…

Plasma Physics · Physics 2023-12-27 Ran Guo