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Kappa distributions are widely used in space plasma physics to model velocity distribution functions with heavy tails. Parameter estimation in these distributions is, however, complicated by the fact that the kappa distribution does not…

Methodology · Statistics 2026-05-25 Leonardo Herrera-Fuenzalida , Sergio Davis

In this paper, we prove that the kappa distribution is the stationary solution of the Vlasov-Poisson system in an inhomogeneous plasma under the polytropic equation of state and an assumption restricting the local velocity distribution to a…

Plasma Physics · Physics 2020-12-17 Ran Guo

The KAPPA package is designed for calculations of optically thin spectra for the non-Maxwellian \k{appa}-distributions. This paper presents extension of the database to allow calculations of the spectra for extreme values of \k{appa} < 2,…

Solar and Stellar Astrophysics · Physics 2023-10-10 Elena Dzifcakova , Jaroslav Dudik , Martina Pavelkova , Bozena Solarova , Alena Zemanova

Scattering phenomena between charged particles and highly excited Rydberg atoms are of critical importance in many processes in plasma physics and astrophysics. While a Maxwell-Boltzmann (MB) energy distribution for the charged particles is…

Plasma Physics · Physics 2020-12-09 Daniel Vrinceanu , Roberto Onofrio , Hossein R. Sadeghpour

In magnetized plasma physics, almost all developed analytic theories assume a Maxwellian distribution function (MDF) and in some cases small deviations are described using the perturbation theory. The deviations with respect to the…

Plasma Physics · Physics 2016-10-27 Olivier Izacard

In this paper we have criticized the so-called Landau damping theory. We have analyzed solutions of the standard dispersion equations for longitudinal (electric) and transversal (electromagnetic and electron) waves in half-infinite slab of…

Plasma Physics · Physics 2008-03-30 V. N. Soshnikov

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

We investigate kinetic entropy-based measures of the non-Maxwellianity of distribution functions in plasmas, i.e., entropy-based measures of the departure of a local distribution function from an associated Maxwellian distribution function…

Plasma Physics · Physics 2020-10-28 Haoming Liang , M. Hasan Barbhuiya , P. A. Cassak , O. Pezzi , S. Servidio , F. Valentini , G. P. Zank

Particle velocity distribution functions (VDF) in space plasmas often show non Maxwellian suprathermal tails decreasing as a power law of the velocity. Such distributions are well fitted by the so-called Kappa distribution. The presence of…

Space Physics · Physics 2015-05-18 V. Pierrard , M. Lazar

For collisionless (or collision-poor) plasma populations which are well described by the $\kappa$-distribution functions (also known as the Kappa or Lorentzian power-laws) a macroscopic interpretation has remained largely questionable,…

Computational Physics · Physics 2019-08-07 Klaus Scherer , Marian Lazar , Edin Husidic , Horst Fichtner

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

Plasmas in which there is a threshold for a dominant reaction to take place (such as recombination or attachment) will have particle distributions that evolve as the reaction progresses. The form of the Boltzmann collision term in such a…

Plasma Physics · Physics 2008-10-13 D A Diver , L F A Teodoro , C S MacLachlan , H E Potts

The concept of diffusion in collisionless space plasmas like those near the magnetopause and in the geomagnetic tail is reexamined from a fundamental statistical point of view making use of the division of particle orbits into waiting…

Space Physics · Physics 2014-06-25 R. A. Treumann , W. Baumjohann

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

We formulate and test a hybrid fluid-Monte Carlo scheme for the treatment of elastic collisions in gases and plasmas. While our primary focus and demonstrations of applicability are for moderately collisional plasmas, as described by the…

Computational Physics · Physics 2015-06-12 L. F. Ricketson , M. S. Rosin , R. E. Caflisch , Andris M. Dimits

We analyze the statistical properties of radiative transitions for a molecular system possessing discrete, equally spaced, energy levels, interacting with thermal radiation at constant temperature. A radiative fluctuation-dissipation…

Statistical Mechanics · Physics 2023-01-11 Chiara Pezzotti , Massimiliano Giona

We have developed an analytic model to describe coupling of plasma and neutral fluids in the partially ionized heliosphere plasma medium. The sources employed in our analytic model are based on a $\kappa$-distribution as opposed to the…

Space Physics · Physics 2015-05-19 Dastgeer Shaikh , B Dasgupta

Numerical procedures to generate random variates that follow loss-cone velocity distributions in particle simulations are presented. We propose a simple summation algorithm for the Ashour-Abdalla--Kennel-type loss-cone distribution, also…

Plasma Physics · Physics 2024-09-10 Seiji Zenitani , Shin'ya Nakano

In the literature different so-called $\kappa$-distribution functions are discussed to fit and model the velocity (or energy) distributions of solar wind species, pickup ions or magnetospheric particles. Here we introduce a generalized…

Solar and Stellar Astrophysics · Physics 2020-07-09 Klaus Scherer , Edin Husidic , Marian Lazar , Horst Fichtner