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Related papers: Kappa distributions: theory and applications in sp…

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Kappa-distributed velocities in plasmas are common in a wide variety of settings, from low-density to high-density plasmas. To date, they have been found mainly in space plasmas, but are recently being considered also in the modelling of…

Statistical Mechanics · Physics 2025-03-25 Sergio Davis , Gonzalo Avaria , Biswajit Bora , Jalaj Jain , José Moreno , Cristian Pavez , Leopoldo Soto

Most astrophysical plasmas are observed to have velocity distribution functions exhibiting non-Maxwellian suprathermal tails. The high energy particle populations are accurately represented by the family of kappa-distributions where the use…

Astrophysics · Physics 2009-11-07 Manfred P. Leubner

The kappa distribution of velocities appears routinely in the study of collisionless plasmas present in Earth's magnetosphere, the solar wind among other contexts where particles are unable to reach thermal equilibrium. Originally justified…

Statistical Mechanics · Physics 2025-10-28 Sergio Davis , Biswajit Bora , Cristian Pavez , Leopoldo Soto

We revisit effective scenarios for the origin of heavy tails in stationary velocity distributions. A first analysis combines localization with diffusive acceleration. That gets realized in space plasmas to find the so-called…

Statistical Mechanics · Physics 2020-06-24 Thibaut Demaerel , Wojciech De Roeck , Christian Maes

The departure of particle distributions from the Maxwellian is commonly observed in space plasmas. These non-Maxwellian distributions which are typical for plasmas that are not in thermal equilibrium, can be modeled with…

Plasma Physics · Physics 2021-09-16 Bojan Arbutina , Vladimir Zekovic

From the perspective of non-equilibrium statistical mechanics, modeling the velocity distribution of particles in non-equilibrium, steady-state plasmas presents a significant challenge. Under this context, a family of kappa distributions…

Plasma Physics · Physics 2025-09-10 Abiam Tamburrini , Sergio Davis , Pablo S. Moya

When a particle moves through a spatially-random force field, its momentum may change at a rate which grows with its speed. Suppose moreover that a thermal bath provides friction which gets weaker for large speeds, enabling high-energy…

Statistical Mechanics · Physics 2020-07-01 Tirthankar Banerjee , Urna Basu , Christian Maes

Space plasmas are collisionpoor and kinetic effects prevail leading to wave fluctuations, which transfer the energy to small scales: wave-particle interactions replace collisions and enhance dispersive effects heating particles and…

Solar and Stellar Astrophysics · Physics 2015-06-04 M. Lazar , V. Pierrard , S. Poedts , R. Schlickeiser

The recently developed concept of "entropic defect" is important for understanding the foundations of thermodynamics in space plasma physics, and more generally, for systems with physical correlations among their particles. Using this…

Plasma Physics · Physics 2022-11-30 George Livadiotis , David J. McComas

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

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

Thermal Doppler broadening of spectral profiles for particle populations in the absence or presence of potential fields are described by kappa distributions. The kappa distribution provides a replacement for the Maxwell-Boltzmann…

Solar and Stellar Astrophysics · Physics 2024-08-01 Arak M. Mathai , Hans J. Haubold

We study the effects of the velocity distribution functions of the plasma particles on the equilibrium charge of dust grains, acquired through inelastic collisions of the particles with the grains. This paper is the second in a series of…

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

Dissipative processes cause collisionless plasmas in many systems to develop nonthermal particle distributions with broad power-law tails. The prevalence of power-law energy distributions in space/astrophysical observations and kinetic…

High Energy Astrophysical Phenomena · Physics 2022-07-06 Vladimir Zhdankin

For various plasma applications the so-called (non-relativistic) $\kappa$-distribution is widely used to reproduce and interpret the suprathermal particle populations exhibiting a power-law distribution in velocity or energy. Despite its…

Plasma Physics · Physics 2018-02-09 K. Scherer , H. Fichtner , M. Lazar

The standard (non-relativistic) $\kappa$-distribution is widely used to fit data and to describe macroscopic thermodynamical behavior, e.g.\ the pressure (temperature) as the second moment of the distribution function. By contrast to a…

Plasma Physics · Physics 2019-09-04 Klaus Scherer , Horst Fichtner , Hans-Jörg Fahr , Marian Lazar

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

This paper presents the misestimation of temperature when observations from a kappa distributed plasma are analyzed as a Maxwellian. One common method to calculate the space plasma parameters is by fitting the observed distributions using…

Space Physics · Physics 2016-10-07 Georgios Nicolaou , George Livadiotis

Context. Recent studies on Kappa distribution functions invoked in space plasma applications have emphasized two alternative approaches which may assume the temperature parameter either dependent or independent of the power-index $\kappa$.…

Plasma Physics · Physics 2017-06-07 M. Lazar , V. Pierrard , S. M. Shaaban , H. Fichtner , S. Poedts

Numerical procedures for generating non-Maxwellian velocity distributions in particle simulations are presented. First, Monte Carlo methods for an $(r,q)$ distribution that generalizes flattop and kappa distributions are discussed. Then,…

Plasma Physics · Physics 2026-03-24 Seiji Zenitani , Shunsuke Usami , Shuichi Matsukiyo
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