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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…

软凝聚态物质 · 物理学 2015-05-13 Lyderic Bocquet , Annie Colin , Armand Ajdari

In the article, correct method for the kinetic Boltzmann equation asymptotic solution is formulated, the Hilbert method and the Enskog error are considered. The equations system of multi-component nonequilibrium gas-dynamics is derived,…

流体动力学 · 物理学 2009-05-12 Sergey A. Serov , Svetlana S. Serova

A compressible flow characterized by a velocity field $u_x(x,t)=ax/(1+at)$ is analyzed by means of the Boltzmann equation and the Bhatnagar-Gross-Krook kinetic model. The sign of the control parameter (the longitudinal deformation rate $a$)…

统计力学 · 物理学 2007-05-23 Andres Santos

The kinetic theory for a fluid of hard spheres which undergo endothermic and/or exothermic reactions with mass transfer is developed. The exact balance equations for concentration, density, velocity and temperature are derived. The Enskog…

统计力学 · 物理学 2007-05-23 James F. Lutsko

Time-dependent density functional theory, proposed recently in the context of atomic diffusion and non-equilibrium processes in solids, is tested against Monte Carlo simulation. In order to assess the basic approximation of that theory, the…

统计力学 · 物理学 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass

The non-equilibrium contributions to the post-Newtonian hydrodynamic equations are determined from a relaxation-time model of the post-Newtonian Boltzmann equation. The Chapman-Enskog method is used to calculate the non-equilibrium…

广义相对论与量子宇宙学 · 物理学 2023-04-05 Gilberto M. Kremer

In nonequilibrium chemical reaction systems, a fundamental relationship between unbalanced kinetic one-way fluxes and thermodynamic chemical driving forces is believed to exists. However this relation has been rigorously demonstrated only…

化学物理 · 物理学 2020-07-22 Yongli Peng , Hong Qian , Daniel A. Beard , Hao Ge

In this work we investigate the dynamical properties of a mixture of mutually interacting spherical molecules of different masses and sizes. From an analysis of the microscopic laws governing the motion of the molecules we derive a set of…

软凝聚态物质 · 物理学 2011-02-15 Umberto Marini Bettolo Marconi

A method is devised to measure the first-order Chapman-Enskog velocity distribution function associated with the heat flux in a dilute granular gas. The method is based on the application of a homogeneous, anisotropic velocity-dependent…

统计力学 · 物理学 2007-05-23 J. M. Montanero , A. Santos , V. Garzo

We identify a velocity distribution function of ideal gas particles that is compatible with the local equilibrium assumption and the fundamental thermodynamic relation satisfying the endoreversibility. We find that this distribution is a…

统计力学 · 物理学 2017-07-19 Yuki Izumida , Koji Okuda

Starting from kinetic theory, we obtain a nonlinear dissipative formalism describing the nonequilibrium evolution of scalar colored particles coupled selfconsistently to nonabelian classical gauge fields. The link between the one-particle…

高能物理 - 唯象学 · 物理学 2015-06-11 J. Peralta-Ramos , E. Calzetta

The inelastic Boltzmann equation for a granular gas is applied to spatially inhomogeneous states close to the uniform shear flow. A normal solution is obtained via a Chapman-Enskog-like expansion around a local shear flow distribution. The…

软凝聚态物质 · 物理学 2009-11-11 Vicente Garzo

We investigate the kinetic theory of two-temperature plasmas for reactive polyatomic gas mixtures. The Knudsen number is taken proportional to the square root of the mass ratio between electrons and heavy-species, and thermal…

等离子体物理 · 物理学 2019-02-05 Jean-Maxime Orlac'H , Vincent Giovangigli , Tatiana Novikova , Pere Roca

In the present contribution, we derive from kinetic theory a unified fluid model for multicomponent plasmas by accounting for the electromagnetic field influence. We deal with a possible thermal nonequilibrium of the translational energy of…

等离子体物理 · 物理学 2011-03-07 Benjamin Graille , Thierry E. Magin , Marc Massot

Chemically driven fluids can demix to form condensed droplets that exhibit phase behaviors not observed at equilibrium. In particular, nonequilibrium interfacial properties can emerge when the chemical reactions are driven differentially…

软凝聚态物质 · 物理学 2023-11-20 Yongick Cho , William M. Jacobs

We consider the single-particle velocity distribution of a one-dimensional fluid of inelastic particles. Both the freely evolving (cooling) system and the non-equilibrium stationary state obtained in the presence of random forcing are…

统计力学 · 物理学 2009-11-07 A. Barrat , T. Biben , Z. Racz , E. Trizac , F. van Wijland

The hydrodynamics of granular gases of viscoelastic particles, whose collision is described by an impact-velocity dependent coefficient of restitution, is developed using a modified Chapman-Enskog approach. We derive the hydrodynamic…

统计力学 · 物理学 2009-11-10 Nikolai Brilliantov , Thorsten Poeschel

Hydrodynamic equations for a binary mixture of inelastic hard spheres are derived from the Boltzmann kinetic theory. A normal solution is obtained via the Chapman-Enskog method for states near the local homogeneous cooling state. The mass,…

软凝聚态物质 · 物理学 2009-11-07 Vicente Garzó , J. W. Dufty

Classical theories of chemical kinetics assume independent reactions in dilute solutions, whose rates are determined by mean concentrations. In condensed matter, strong interactions alter chemical activities and create inhomogeneities that…

材料科学 · 物理学 2013-04-17 Martin Z. Bazant

A kinetic model for granular mixtures is considered to study three different non-equilibrium situations. The model is based on the equivalence between a gas of elastic hard spheres subjected to a drag force proportional to the particle…

软凝聚态物质 · 物理学 2025-02-27 Pablo Avilés , David González Méndez , Vicente Garzó
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