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Phys. Rev. Lett. 89, 204301 (2002) [4 pages]

Dynamics of Freely Cooling Granular Gases

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Xiaobo Nie1, Eli Ben-Naim2, and Shiyi Chen1,2,3
1Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218
2Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
3Peking University, Beijing, China

Received 21 June 2002; published 23 October 2002

We study dynamics of freely cooling granular gases in two dimensions using large-scale molecular dynamics simulations. We find that for dilute systems the typical kinetic energy decays algebraically with time, E(t)∼t-1, and velocity statistics are characterized by a universal Gaussian distribution in the long time limit. We show that in the late clustering regime particles move coherently as typical local velocity fluctuations, Δv, are small compared with the typical velocity, Δv/vt-1/4. Furthermore, locally averaged shear modes dominate over acoustic modes. The small thermal velocity fluctuations suggest that the system can be heuristically described by Burgers-like equations.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.204301
DOI:
10.1103/PhysRevLett.89.204301
PACS:
45.70.Mg, 47.70.Nd, 05.40.-a, 81.05.Rm