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Shocklike Dynamics of Inelastic Gases

1999/09/23 by E. Ben-Naim, E. Ben‐Naim, Shiyi Chen +3 · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Granular flow and fluidized beds #Particle Dynamics in Fluid Flows #cond-mat.soft #cond-mat.stat-mech #nlin.PS #patt-sol

paper · pdf · doi:10.1103/physrevlett.83.4069

published as Phys. Rev. Lett. 83, 4069 (1999) · 4 pages, 5 figures, revtex

arxiv created 1999/09/23 · openalex publication_date 1999/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a simple physical picture which suggests that the asymptotic dynamics of inelastic gases in one dimension is independent of the degree of inelasticity. Statistical characteristics, including velocity fluctuations and the velocity distribution, are identical to those of a perfectly inelastic sticky gas, which in turn is described by the inviscid Burgers equation. Asymptotic predictions of this continuum theory, including the t^\ensuremath-2/3 temperature decay and the development of discontinuities in the velocity profile, are verified numerically for inelastic gases.

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