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We analyze the velocity distribution function of force-free granular gases in the regime of homogeneous cooling when deviations from the Maxwellian distribution may be accounted only by leading term in the Sonine polynomial expansion. These…

Statistical Mechanics · Physics 2009-10-31 Nikolai V. Brilliantov , Thorsten Poeschel

Self-gravitating system are non-equilibrium a priory. A new approach is proposed, which employs a non-equilibrium statistical operator into account inhomogeneous distribution of particles and temperature. The method involves the saddle -…

Statistical Mechanics · Physics 2016-04-12 B. I. Lev

We consider the non-radial motions, originating in the outskirts of clusters of galaxies and we show how it may reduce the discrepancy between Cold Dark Matter (CDM) predicted X-ray temperature distribution function of clusters of galaxies…

Astrophysics · Physics 2007-05-23 A. Del Popolo , M. Gambera

The calculation of fusion reactivity involves a complex six-dimensional integral that takes into account the fusion cross-section and velocity distributions of two reactants. However, a more simplified one-dimensional integral form can be…

Plasma Physics · Physics 2023-04-07 Huasheng Xie , Muzhi Tan , Di Luo , Zhi Li , Bing Liu

We propose a new method to determine the electron velocity (EV) distribution function in the intracluster gas (ICG) in clusters of galaxies based on the frequency dependence of the Sunyaev-Zel'dovich (SZ) effect. It is generally accepted…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-04 Sandor M. Molnar , Joseph Godfrey

A test mass, $M$, moving through an ambient medium of light particles with lower average kinetic energy than itself suffers a deceleration caused by its scattering of the light particles. The phenomenon is usually referred to as dynamical…

Astrophysics · Physics 2015-06-24 D. Syer

We consider the rate of convergence of solutions of spatially inhomogenous Boltzmann equations, with hard sphere potentials, to some equilibriums, called Maxwellians. Maxwellians are spatially homogenous static Maxwell velocity…

Analysis of PDEs · Mathematics 2019-08-26 Zhou Gang

The dynamics and thermostatistics of a classical inertial XY model, characterized by long-range interactions, are investigated on $d$-dimensional lattices ($d=1,2,$ and 3), through molecular dynamics. The interactions between rotators decay…

Statistical Mechanics · Physics 2018-08-27 Leonardo J. L. Cirto , Antonio Rodríguez , Fernando D. Nobre , Constantino Tsallis

A macroscopically uniform model of a two-dimensional electron system is proposed to study nonequilibrium properties of electrical conduction. By molecular dynamics simulation, the steady state distribution function $P_y$ of electron…

Statistical Mechanics · Physics 2009-07-06 Tatsuro Yuge

We calculate the distribution of electrons in clusters of galaxies, resulting from thermalization processes in the presence of stochastic acceleration due to plasma waves. We show that the electron distribution can deviate from a…

Astrophysics · Physics 2016-08-30 Pasquale Blasi

Boltzmann equation describes the time development of the velocity distribution in the continuum fluid matter. We formulate the equation using the field theory where the {\it velocity-field} plays the central role. The matter (constituent…

High Energy Physics - Theory · Physics 2013-10-10 Shoichi Ichinose

We have investigated the method of extracting the temperature from weighted proton-to-neutron yield ratio from fusion reactions as in the previous experiment~[W. Bang, {\it et al.}, Phys. Rev. Lett. \textbf{111}, 055002 (2013).] using the…

Plasma Physics · Physics 2025-08-26 Zhe Zhu , Jun Xu

The nature of the velocity distribution of a driven granular gas, though well studied, is unknown as to whether it is universal or not, and if universal what it is. We determine the tails of the steady state velocity distribution of a…

Statistical Mechanics · Physics 2017-04-05 V. V. Prasad , Dibyendu Das , Sanjib Sabhapandit , R. Rajesh

In a collisionless plasma, the energy distribution function of plasma particles can be strongly affected by turbulence. In particular, it can develop a non-thermal power-law tail at high energies. We argue that turbulence with initially…

Plasma Physics · Physics 2022-01-19 Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn , Mikhail Medvedev

The response tensor is derived for a relativistically streaming, strongly magnetized, one-dimensional J\"uttner distribution of electrons and positrons, referred to as a pulsar plasma. This is used to produce a general treatment of wave…

High Energy Astrophysical Phenomena · Physics 2024-08-28 M. Z. Rafat , D. B. Melrose , V. M. Demcsak

A self-consistent and universal description of friction and diffusion for Brownian particles (grains) in different systems, as a gas with Boltzmann collisions, dusty plasma with ion absorption by grains, and for active particles (e.g.,…

Statistical Mechanics · Physics 2009-11-10 S. A. Trigger , G. J. F. van Heijst , P. P. J. M. Schram

We investigate the non-equilibrium four-vector work in an expanding relativistic piston. We derive the exact work distribution in this pedagogical model and find that the joint distribution of four-vector work $(W^0, W^1)$ concentrates on…

Statistical Mechanics · Physics 2026-05-11 Tingzhang Shi , Chentong Qi , H. T. Quan

The relativistic equilibrium velocity distribution coincides with the Maxwellian distribution for small velocities and vanishes at c, the velocity of light. Based on the decay pattern of high-energy tail in the relativistic equilibrium…

Statistical Mechanics · Physics 2007-05-23 Jian-Miin Liu

A relativistic bounce-averaged quasilinear diffusion equation is derived to describe stochastic particle transport associated with arbitrary-frequency electromagnetic fluctuations in a nonuniform magnetized plasma. Expressions for the…

Space Physics · Physics 2009-11-10 Alain J. Brizard , Anthony A. Chan

We investigate the velocity relaxation of a viscous one-dimensional granular gas, that is, one in which neither energy nor momentum is conserved in a collision. Of interest is the distribution of velocities in the gas as it cools, and the…

Statistical Mechanics · Physics 2009-11-10 Alexandre Rosas , Daniel ben-Avraham , Katja Lindenberg