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The dynamics of a test particle interacting with diffusing impurities in one dimension is investigated analytically and numerically. In the absence of an applied external force, the dynamics of the particle can be characterized by a…

统计力学 · 物理学 2009-11-13 Lasse Laurson , Mikko J. Alava

We present experimental results on the velocity statistics of a uniformly heated granular fluid, in a quasi-2D configuration. We find the base state, as measured by the single particle velocity distribution $f(c)$, to be universal over a…

软凝聚态物质 · 物理学 2009-11-11 Pedro M. Reis , Rohit A. Ingale , Mark D. Shattuck

Nonthermal velocity distributions with much greater tails than the Maxwellian have been observed for radical atoms in plasmas for a long time. Historically, such velocity distributions have been modeled by a two-temperature Maxwell…

等离子体物理 · 物理学 2024-05-09 Keisuke Fujii

We study a two-dimensional granular gas of inelastic spheres subject to multiplicative driving proportional to a power $|v(\vec{x})|^{\delta}$ of the local particle velocity $v(\vec{x})$. The steady state properties of the model are…

统计力学 · 物理学 2009-10-31 Raffaele Cafiero , Stefan Luding , Hans Jürgen Herrmann

We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas enclosed in a vessel whose wall are kept at a uniform, constant temperature, assuming diffuse reflection of gas molecules on the vessel wall. We…

偏微分方程分析 · 数学 2012-07-26 Kazuo Aoki , François Golse

We study the single particle velocity distribution for a granular fluid of inelastic hard spheres or disks, using the Enskog-Boltzmann equation, both for the homogeneous cooling of a freely evolving system and for the stationary state of a…

统计力学 · 物理学 2007-05-23 T. P. C. van Noije , M. H. Ernst

We report the statistical properties of spherical steel particles rolling on an inclined surface being driven by an oscillating wall. Strong dissipation occurs due to collisions between the particles and rolling and can be tuned by changing…

软凝聚态物质 · 物理学 2009-11-07 Daniel L. Blair , A. Kudrolli

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…

统计力学 · 物理学 2009-07-06 Tatsuro Yuge

We study a two-dimensional gas of inelastic rough spheres, driven on the rotational degrees of freedom. Numerical simulations are compared to mean-field (MF) predictions with surprisingly good agreement for strong coupling of rotational and…

统计力学 · 物理学 2007-05-23 R. Cafiero , S. Luding , H. J. Herrmann

The velocity distribution function of granular gases in the homogeneous cooling state as well as some heated granular gases decays for large velocities as $f\propto\exp(- {\rm const.} v)$. That is, its high-energy tail is overpopulated as…

统计力学 · 物理学 2007-05-23 Thorsten Poeschel , Nikolai Brilliantov , Arno Formella

We investigate front propagation in systems with diffusive and sub-diffusive behavior. The scaling behavior of moments of the diffusive problem, both in the standard and in the anomalous cases, is not enough to determine the features of the…

统计力学 · 物理学 2016-09-06 Maurizio Serva , Davide Vergni , Angelo Vulpiani

We study the deterministic dynamics of non-interacting classical gas particles confined to a one-dimensional box as a pedagogical toy model for the relaxation of the Boltzmann distribution towards equilibrium. Hard container walls alone…

经典物理 · 物理学 2011-06-28 Florian Gebhard , Kevin zu Muenster

We find the probability density function $\mathcal{P}(V_{\texttt{r}})$ of the relativistic relative velocity for two colliding particles in a non-degenerate relativistic gas. The distribution reduces to Maxwell distribution for the relative…

宇宙学与河外天体物理 · 物理学 2014-06-02 M. Cannoni

To obtain further insight on possible power law generalizations of Boltzmann equilibrium concepts, a stochastic collision model is investigated. We consider the dynamics of a tracer particle of mass $M$, undergoing elastic collisions with…

统计力学 · 物理学 2009-11-10 Eli Barkai

We consider the velocity fluctuations of a system of particles described by the Inelastic Maxwell Model. The present work extends the methods, previously employed to obtain the one-particle velocity distribution function, to the study of…

统计力学 · 物理学 2009-11-13 G. Costantini , U. Marini Bettolo Marconi , A. Puglisi

We compute the joint distribution of relative velocities and separations of identical inertial particles suspended in randomly mixing and turbulent flows. Our results are obtained by matching asymptotic forms of the distribution. The method…

流体动力学 · 物理学 2014-02-24 K. Gustavsson , B. Mehlig

We study the steady state properties of a 2D granular mixture in the presence of energy driving by employing simple analytical estimates and Direct Simulation Monte Carlo. We adopt two different driving mechanisms: a) a homogeneous heat…

统计力学 · 物理学 2009-11-07 R. Pagnani , U. Marini Bettolo Marconi , A. Puglisi

The probability distribution of the velocity of gas molecules in a closed container is described by the kinetic theory of gases. When molecules collide or impact the walls of a container, they exchange energy and momentum in accordance with…

星系天体物理 · 物理学 2013-12-18 Pedro J. Llanos , James K. Miller , Gerald R. Hintz

We present molecular dynamics simulations of mono- or bidisperse inelastic granular gases driven by vibrating walls, in two dimensions (without gravity). Because of the energy injection at the boundaries, a situation often met…

统计力学 · 物理学 2009-11-07 Alain Barrat , Emmanuel Trizac

A highly polydisperse granular gas is modeled by a continuous distribution of particle sizes, a, giving rise to a corresponding continuous temperature profile, T(a), which we compute approximately, generalizing previous results for binary…

软凝聚态物质 · 物理学 2009-10-12 Hildegard Uecker , W. Till Kranz , Timo Aspelmeier , Annette Zippelius