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Kinetic model of three component, weakly ionized, collisional plasma with a beam of neutral particles is developed. New dispersion relations for linear perturbations are derived and analyzed in various limiting cases.

Plasma Physics · Physics 2009-10-31 David Tsiklauri

In this article, we derive the components of the entropy covector field for a relativistic kinetic gas composed of collisionless, spinless, massive, and uncharged particles following bound orbits in a curved spacetime background. By…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Carlos Gabarrete , Daniela Montoya , Roger Raudales

We consider a kinetic model, which describes the sedimentation of rod-like particles in dilute suspensions under the influence of gravity. This model has recently been derived by Helzel and Tzavaras in \cite{HT2015}. Here we restrict our…

Fluid Dynamics · Physics 2017-03-09 Christiane Helzel , Athanasios E. Tzavaras

We consider generalizations of kinetic granular gas models given by Boltzmann equations of Maxwell type. These type of models for non-linear elastic or inelastic interactions, have many applications in physics, dynamics of granular gases,…

Mathematical Physics · Physics 2009-01-27 A. V. Bobylev , C. Cercignani , I. M. Gamba

We consider a model of a scalar field, with dispersion relation {\omega}(k), coupled to a random medium of two level atoms. We investigate the dynamics of states with at most one quanta of excitation in the system. In a high frequency…

Optics · Physics 2023-12-01 Joseph Kraisler , Joonsoo Lee

Astrophysical plasmas in accretion discs are usually treated in the framework of fluid or MHD approaches but there are some situations where these treatments become inadequate and one needs to revert to the more fundamental underlying…

High Energy Astrophysical Phenomena · Physics 2012-01-10 C. Cremaschini , J. C. Miller , M. Tessarotto

Using a method of stochastic perturbation of a Langevin system associated with the non-viscous Burgers equation we construct a solution to the Riemann problem for the pressureless gas dynamics describing sticky particles. As a bridging step…

Analysis of PDEs · Mathematics 2009-09-07 Sergio Albeverio , Anastasia Korshunova , Olga Rozanova

To quantify the effect that bar driven mass inflow can have on the evolution of a galaxy requires an understanding of the dynamics of the inflowing gas. In this paper we study the kinematics of the dense molecular gas in a set of seven…

Astrophysics · Physics 2009-10-31 Michael W. Regan , Kartik Sheth , Stuart N. Vogel

The dynamics, velocity fluctuations, and particle-plate interactions for a 2D granular gas of shaken, non-spherical particles are studied experimentally. The experiment consists of a horizontal plate that is vertically oscillated to drive…

Soft Condensed Matter · Physics 2013-05-29 J. Atwell , J. S. Olafsen

We review the non-relativistic Green's-function approach to the kinetic equations for Fermi liquids far from equilibrium. The emphasis is on the consistent treatment of the off-shell motion between collisions and on the non-instant and…

Nuclear Theory · Physics 2017-03-08 P. Lipavsky , K. Morawetz , V. Spicka

A kinetic model for the elasto-plastic dynamics of a flowing jammed material is proposed, which takes the form of a non-local -- Boltzmann-like -- kinetic equation for the stress distribution function. Coarse-graining this equation yields a…

Soft Condensed Matter · Physics 2015-05-13 Lyderic Bocquet , Annie Colin , Armand Ajdari

We continue our investigation of kinetic models of a one-dimensional gas in contact with homogeneous thermal reservoirs at different temperatures. Nonlinear collisional interactions between particles are modeled by a so-called BGK dynamics…

Mathematical Physics · Physics 2019-04-11 Eric Carlen , Raffaele Esposito , Joel Leibowitz , Rossana Marra , Clement Mouhot

A unified numerically solvable framework for dispersion relations with arbitrary number of species drifting at arbitrary directions and with Krook collision is derived for linear uniform/homogenous kinetic plasma, which largely extended the…

Plasma Physics · Physics 2019-08-30 Huasheng Xie

In this article we develop Poincar\'e ideas about a heat balance of ideal gas considered as a collisionless continuous medium. We obtain the theorems on diffusion in nondegenerate completely integrable systems. As a corollary we show that…

Chaotic Dynamics · Physics 2007-05-23 V. V. Kozlov

An equilibrium theory of classical fluids based on the space distribution among the particles is derived in the framework of the energy minimization method. This study is motivated by current difficulties of evaluation of optical properties…

Statistical Mechanics · Physics 2009-11-10 R. D. Rohrmann

I propose a model of mutually interacting particles on an M-dimensional unit sphere. I derive the dynamics of the particles by extending the dynamics of the Kuramoto-Sakaguchi model. The dynamics include a natural-frequency matrix, which…

Adaptation and Self-Organizing Systems · Physics 2014-02-10 Takuma Tanaka

A simplified version of a classical problem in thermodynamics -- the adiabatic piston -- is discussed in the framework of kinetic theory. We consider the limit of gases whose relaxation time is extremely fast so that the gases contained on…

Chaotic Dynamics · Physics 2009-11-11 Massimo Cencini , Luigi Palatella , Simone Pigolotti , Angelo Vulpiani

Self-consistent mouvement of initial perturbation in density, velocity and gravitation potentail on the background of the stationary cylindrical configuration of the gas with gravitation and pressure in Lagrange variables have been studied.…

Astrophysics · Physics 2007-05-23 Alexander Gromov

A freely cooling granular gas with velocity dependent restitution coefficient is studied in one dimension. The restitution coefficient becomes near elastic when the relative velocity of the colliding particles is less than a velocity scale…

Soft Condensed Matter · Physics 2009-11-13 Mahendra Shinde , Dibyendu Das , R. Rajesh

We compare dynamical mass estimates based on spatially extended stellar and ionized gas kinematics ($\mathrm{M_{dyn,*}}$ and $\mathrm{M_{dyn,eml}}$, respectively) of 157 star forming galaxies at $0.6\leq z<1$. Compared to $z\sim0$, these…