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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

The partition function of nonequilibrium distribution which we recently obtained [arXiv:0802.0259] in the framework of the maximum isotropization model (MIM) is exploited to extract physical information from experimental data on the proton…

Nuclear Theory · Physics 2008-04-11 Dmitry Anchishkin , Stanislav Yezhov

In this study we apply the maximum entropy principle to derive the properly scaled velocity distribution function of Boltzmann equations for mixtures, which leads to a non-isothermal Maxwell-Stefan diffusion model. We also analyze the…

Mathematical Physics · Physics 2021-10-22 Benjamin Anwasia , Srboljub Simić

We examine entropy production in reduced descriptions of collisionless plasmas. Introducing a closure dependent entropy hierarchy, we show that non-conservative moment closures generate a residual entropy associated with irreversible…

Plasma Physics · Physics 2026-02-03 Alexander G. Tevzadze

The equilibria formed by the self-gravitating, collisionless collapse of simple initial conditions have been investigated for decades. We present the results of our attempts to describe the equilibria formed in $N$-body simulations using…

Astrophysics of Galaxies · Physics 2015-05-27 Eric I. Barnes , Colin P. Egerer

We introduce a non-growth model that generates the power-law distribution with the Zipf exponent. There are N elements, each of which is characterized by a quantity, and at each time step these quantities are redistributed through binary…

Statistical Mechanics · Physics 2012-04-27 Suhan Ree

Small-scale challenges to $\Lambda$CDM cosmology require a deeper understanding of dark matter physics.This paper aims to develop maximum entropy distributions for dark matter particle velocity (denoted by $X$), speed (denoted by $Z$), and…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-06 Zhijie Xu

Magnetic reconnection and turbulence in magnetically-dominated environments have been proposed as important nonthermal particle acceleration mechanisms that generate high energy particles and associated emissions. While the acceleration to…

Plasma Physics · Physics 2025-06-26 Fan Guo , Omar French , Qile Zhang , Xiaocan Li , Jeongbhin Seo

A cold electron beam propagating through a background plasma is subject to filamentation process due to theWeibel instability. If the initial beam radius is large compared with the electron skin depth and the beam density is much smaller…

Plasma Physics · Physics 2011-09-05 Vladimir Khudik , Igor Kaganovich , Gennady Shvets

A nonlinear dispersion of a general stationary wave in collisionless plasma is obtained in a non-differential form from a single-particle oscillation-center Hamiltonian. For electrostatic oscillations in nonmagnetized plasma, considered as…

Plasma Physics · Physics 2015-05-28 I. Y. Dodin , N. J. Fisch

The Renyi distribution ensuring the maximum of a Renyi entropy is investigated for a particular case of a power--law Hamiltonian. Both Lagrange parameters, $\alpha$ and $\beta$ can be excluded. It is found that $\beta$ does not depend on a…

Statistical Mechanics · Physics 2009-11-10 A. G. Bashkirov

Plasmas in various astrophysical systems are in non-equilibrium states as evidenced by direct in-situ measurements in the solar wind, solar corona and planetary environments as well as by indirect observations of nonthermal sources of waves…

Plasma Physics · Physics 2026-01-27 Simon Tischmann , Rudi Gaelzer , Dustin Schröder , Marian Lazar , Horst Fichtner

Extracting governing physical laws from computational or experimental data is crucial across various fields such as fluid dynamics and plasma physics. Many of those physical laws are dissipative due to fluid viscosity or plasma collisions.…

Computational Physics · Physics 2026-02-11 Yubin Lu , Xiaofan Li , Chun Liu , Qi Tang , Yiwei Wang

Fast particles diffusing along magnetic field lines in a turbulent plasma can diffuse through and then return to the same eddy many times before the eddy is randomized in the turbulent flow. This leads to an enhancement of particle…

Astrophysics · Physics 2009-11-10 Benjamin D. G. Chandran , Jason L. Maron

Plasmas in Earth's outer magnetosphere, magnetosheath, and solar wind are essentially collisionless. This means particle distributions are not typically in thermodynamic equilibrium and deviate significantly from Maxwellian distributions.…

Effects of non-thermal high-energy electrons on Langmuir wave-particle interaction are investigated by an initial value approach. A Vlasov-Poisson simulation is employed which is based on the splitting scheme by Cheng and Knorr [Cheng, C.Z.…

Plasma Physics · Physics 2012-12-27 Yue-Hung Chen , Yasutaro Nishimura , Chio-Zong Cheng

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

Diffusive shock acceleration at collisionless shocks is thought to be the source of many of the energetic particles observed in space. Large-scale spatial variations of the magnetic field has been shown to be important in understanding…

High Energy Astrophysical Phenomena · Physics 2015-05-20 F. Guo , J. R. Jokipii , J. Kota

Statistical properties of coupled dynamic-stochastic systems are studied within a combination of the maximum information principle and the superstatistical approach. The conditions at which the Shannon entropy functional leads to a…

Statistical Mechanics · Physics 2009-11-11 E. V. Vakarin , J. P. Badiali

Magnetic reconnection in relativistic collisionless plasmas can accelerate particles and power high-energy emission in various astrophysical systems. Whereas most previous studies focused on relativistic reconnection in pair plasmas, less…

High Energy Astrophysical Phenomena · Physics 2017-12-27 G. R. Werner , D. A. Uzdensky , M. C. Begelman , B. Cerutti , K. Nalewajko
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