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The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that…

统计力学 · 物理学 2025-10-24 Manuel Mayo , María Isabel García de Soria , Pablo Maynar , José Javier Brey

A low density binary mixture of granular gases is considered within the Boltzmann kinetic theory. One component, the intruders, is taken to be dilute with respect to the other, and thermal segregation of the two species is described for a…

统计力学 · 物理学 2013-05-06 J. Javier Brey , Nagi Khalil , James W. Dufty

We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field…

量子气体 · 物理学 2025-07-16 Wilhelm Zwerger

In the present work, we calculate the transport coefficients for a relativistic binary mixture of diluted gases of hard-sphere particles. The gas mixture under consideration is studied within the relativistic Boltzmann equation in the…

统计力学 · 物理学 2018-02-16 Gilberto M. Kremer , Valdemar Moratto

The diffusion of tracer particles immersed in a granular gas under uniform shear flow (USF) is analyzed within the framework of the inelastic Boltzmann equation. Two different but complementary approaches are followed to achieve exact…

软凝聚态物质 · 物理学 2026-01-01 David González Méndez , Vicente Garzó

Demixing of binary fluids subjected to slow temperature ramps shows repeated waves of nucleation which arise as a consequence of the competition between generation of supersaturation by the temperature ramp and relaxation of supersaturation…

统计力学 · 物理学 2012-10-16 Izabella J. Benczik , Jürgen Vollmer

We derive the Boltzmann equation for the rotranslational dynamics of an arbitrary convex rigid body in a rarefied gas. It yields as a limiting case the Fokker-Planck equation accounting for friction, diffusion, and nonconservative drift…

统计力学 · 物理学 2018-05-29 Lukas Martinetz , Klaus Hornberger , Benjamin A. Stickler

A peculiarity of the hydrodynamic Navier-Stokes equations for a granular gas is the modification of the Fourier law, with the presence of an additional contribution to the heat flux that is proportional to the density gradient.…

统计力学 · 物理学 2015-06-11 J. Javier Brey , M. J. Ruiz-Montero

The Boltzmann kinetic equation is considered to compute the transport coefficients associated with the mass flux of intruders in a granular gas. Intruders and granular gas are immersed in a gas of elastic hard spheres (molecular gas). We…

软凝聚态物质 · 物理学 2025-11-07 Rubén Gómez González , Vicente Garzó

The analytical theory of diffusive cosmic ray acceleration at parallel stationary shock waves with magnetostatic turbulence is generalized to arbitrary shock speeds $V_s=\beta_1c$, including in particular relativistic speeds. This is…

高能天体物理现象 · 物理学 2015-08-19 Reinhard Schlickeiser

The kinetic theory of dilute gases to first order in the gradients yields linear relations between forces and fluxes. The heat flux for the relativistic gas has been shown to be related not only to the temperature gradient but also to the…

广义相对论与量子宇宙学 · 物理学 2011-07-21 A. L. Garcia-Perciante , A. R. Mendez

In this article, we demonstrate the phenomenon of thermal transpiration in a bounded convex domain. We employ the stationary Boltzmann equation with a cutoff potential. For boundary condition, we partition the boundary into diffuse…

偏微分方程分析 · 数学 2026-03-23 Kai-Li Wang , I-Kun Chen

An expression for the two-particle relaxation time of collective excitations on a distorted Fermi surface in the diffusion approach to kinetic theory is obtained. The general case of momentum-dependent diffusion and drift coefficients is…

核理论 · 物理学 2021-11-01 S. V. Lukyanov

In the turbulent boundary layer of multicomponent fluid mixtures, the species-specific mass flux is determined by the combination of turbulent-diffusiophoretic diffusion and diffusion due to gradients in supplementary fields (e.g.…

流体动力学 · 物理学 2018-06-27 Sverre Gullikstad Johnsen

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

软凝聚态物质 · 物理学 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch

Segregation by thermal diffusion of an intruder immersed in a sheared granular gas is analyzed from the (inelastic) Boltzmann equation. Segregation is induced by the presence of a temperature gradient orthogonal to the shear flow plane and…

统计力学 · 物理学 2015-05-18 Vicente Garzó , Francisco Vega Reyes

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

偏微分方程分析 · 数学 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

The isospin diffusion and other irreversible phenomena are discussed for a two-component nuclear Fermi system. The set of Boltzmann transport equations, such as employed for reactions, are linearized, for weak deviations of a system from…

核理论 · 物理学 2009-11-10 L. Shi , P. Danielewicz

This study investigates the steady-state Darcy-Brinkman flow within a thin, saturated porous domain, focusing on the effects of viscous dissipation and non-homogeneous boundary condition for the temperature. Employing asymptotic techniques…

偏微分方程分析 · 数学 2025-08-07 Igor Pažanin , Francisco J. Suárez-Grau

The characteristics of the hydro-thermal flow which occurs when a cold fluid is injected into a hot fractured bedrock depend on the morphology of the fracture. We consider a sharp triangular asperity, invariant in one direction, perturbing…

地球物理 · 物理学 2013-07-05 Amélie Neuville , Eirik Grude Flekkøy , Renaud Toussaint