Pseudospectral solutions of the Fokker-Planck equation for Pearson diffusion that yields a Kappa distribution; the associated SUSY Schrödinger equation
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Theoretical Chemistry"
DOI: 10.1016/j.comptc.2020.113059
Abstract: Abstract Numerous satellite measurements of the energy distributions of electrons and ions in the solar system and beyond can be fitted with the Kappa distribution. The origin of these Kappa distributions has attracted considerable attention.… read more here.
Keywords: planck equation; fokker planck; pseudospectral solutions; kappa distribution ... See more keywords
Application of generalized Lorentzian (kappa) distribution function in propagation of electron cyclotron waves in magnetospheric plasma of an outer planet
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DOI: 10.1016/j.ijleo.2020.164387
Abstract: Abstract For the study of propagation of electron cyclotron waves in magnetospheric plasma of an outer planet, generally two distributions: (i) Bi-Maxwellian distribution, and (ii) Generalized Lorentzian (kappa) distribution, along with temperature anisotropy, have been… read more here.
Keywords: generalized lorentzian; kappa distribution; distribution function; lorentzian kappa ... See more keywords
Toward developing a comprehensive algorithm for solving kinetic plasma dispersion relations for parallel propagation with a kappa distribution
Sign Up to like & getrecommendations! Published in 2023 at "Physics of Plasmas"
DOI: 10.1063/5.0140875
Abstract: In general, it is challenging to numerically solve all the roots of plasma wave dispersion relations. The velocity distributions of multi-component particles in an anisotropic high-energy plasma can be better described by a drift loss-cone… read more here.
Keywords: kappa distribution; dispersion; plasma; dispersion relations ... See more keywords
Penalized likelihood approach for the four-parameter kappa distribution
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Statistics"
DOI: 10.1080/02664763.2021.1871592
Abstract: The four-parameter kappa distribution (K4D) is a generalized form of some commonly used distributions such as generalized logistic, generalized Pareto, generalized Gumbel, and generalized extreme v... read more here.
Keywords: parameter kappa; four parameter; kappa distribution;
Stochastic dynamics and superstatistics of the many-particle kappa distribution
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/abf7b5
Abstract: The diffusion of particles with kappa distributed velocities is strongly influenced by statistical correlations. We argue that the consistent way to deduce the diffusion laws of any one degree of freedom is to analyze the… read more here.
Keywords: degree freedom; kappa distribution; freedom; diffusion ... See more keywords
Study of averaged collision strength of non-Maxwellian distribution in plasma
Sign Up to like & getrecommendations! Published in 2017 at "Modern Physics Letters B"
DOI: 10.1142/s021798491750213x
Abstract: In this paper, kappa distribution of electronic energy is discussed for non-Maxwellian distribution. Taking silicon III 189.2 nm line in solar atmospheric plasma as an example, we discuss the kappa distribution and the Maxwellian distribution… read more here.
Keywords: plasma; maxwellian distribution; kappa distribution; averaged collision ... See more keywords
On the Determination of Kappa Distribution Functions from Space Plasma Observations
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DOI: 10.3390/e22020212
Abstract: The velocities of space plasma particles, often follow kappa distribution functions. The kappa index, which labels and governs these distributions, is an important parameter in understanding the plasma dynamics. Space science missions often carry plasma… read more here.
Keywords: plasma; space plasma; kappa distribution; distribution functions ... See more keywords