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Phys. Rev. Lett. 83, 4069–4072 (1999)

Shocklike Dynamics of Inelastic Gases

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E. Ben-Naim1, S. Y. Chen1, G. D. Doolen1, and S. Redner2
1Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
2Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215

Received 20 July 1999; published in the issue dated 15 November 1999

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-2/3 temperature decay and the development of discontinuities in the velocity profile, are verified numerically for inelastic gases.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.4069
DOI:
10.1103/PhysRevLett.83.4069
PACS:
47.70.Nd, 05.40.-a, 45.70.Mg