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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

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

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

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

In astronomical environments, the high-temperature emission of plasma mainly depends on ion charge states, which requires accurate analysis of the ionization and recombination processes. For various phenomena involving energetic particles,…

Solar and Stellar Astrophysics · Physics 2025-06-18 Chengcai Shen , Xiaocan Li , Yuan-Kuen Ko , John C. Raymond , Fan Guo , Vanessa Polito , Viviane Pierrard

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

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

We present a numerical model and a set of conservative algorithms for Non-Maxwellian plasma kinetics with inelastic collisions. These algorithms self-consistently solve for the time evolution of an isotropic electron energy distribution…

Plasma Physics · Physics 2017-12-12 H. P. Le , J. -L. Cambier

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

The kappa-distributed fully ionized plasma with collisional interaction is investigated. The Fokker-Planck equation with Rosenbluth potential is employed to describe such a physical system. The results show that the kappa distribution is…

Plasma Physics · Physics 2018-11-12 Ran Guo

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

Shocks, turbulence and winds all influence the electron velocity distribution in hot plasmas, exciting lower-energy electrons and generating a high-energy (typically power-law) tail. This effect, typically described as a kappa distribution…

Solar and Stellar Astrophysics · Physics 2020-01-08 Xiaohong Cui , Adam R. Foster , Takayuki Yuasa , Randall K. Smith

Kinetic plasma studies often require computing integrals of the velocity distribution over a complex-valued pole. The standard method is to solve the integral in the complex plane using the Plemelj theorem, resulting in the standard plasma…

Plasma Physics · Physics 2025-02-05 Chirag R. Skolar , William J. Longley , Lindsay V. Goodwin

Non-Maxwellian distributions and their origins in space plasma have attracted significant attention due to their prevalence and impact on various astrophysical and space-related phenomena. This paper presents a theoretical study of the…

Plasma Physics · Physics 2026-04-29 Iván Gallo-Méndez , Adolfo F. Viñas , Pablo S. Moya

We investigate the possibility of diagnosing the degree of departure from the Maxwellian distribution using single-ion spectra originating in astrophysical plasmas in collisional ionization equilibrium. New atomic data for excitation of Fe…

Solar and Stellar Astrophysics · Physics 2014-11-05 J. Dudík , G. Del Zanna , H. E. Mason , E. Dzifčáková

We developed a Monte Carlo simulation method to calculate incoherent Thomson scattering spectra in high temperature plasmas. The basic idea is to treat the entire scattering process as the superposition of individual photon-electron…

Plasma Physics · Physics 2026-01-13 Kentaro Sakai , Kentaro Tomita , Takeo Hoshi , Ryo Yasuhara

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

Strong electric fields in the auroral and equatorial electrojets can distort the background ion distribution function away from Maxwellian. We developed a collisional plasma kinetic model using the Boltzmann equation and a simple BGK…

Plasma Physics · Physics 2024-08-13 Rattanakorn Koontaweepunya , Yakov S. Dimant , Meers M. Oppenheim

Modeling fast solar wind based on the kinetic theory is an important task for scientists. In this paper, we present a two-fluid model for fast solar wind with anisotropic Kappa-Maxwellian electrons and Bi-Maxwellian protons. In the…

Space Physics · Physics 2019-09-25 Somayeh Taran , Hossein Safari , Farhad Daei

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
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