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Phys. Rev. E 61, R5–R8 (2000)

Multiscaling in inelastic collisions

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E. Ben-Naim1 and P. L. Krapivsky2
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 13 September 1999; published in the issue dated January 2000

We study relaxation properties of two-body collisions on the mean-field level. We show that this process exhibits multiscaling asymptotic behavior as the underlying distribution is characterized by an infinite set of nontrivial exponents. These nonequilibrium relaxation characteristics are found to be closely related to the steady state properties of the system.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.61.R5
DOI:
10.1103/PhysRevE.61.R5
PACS:
05.40.-a, 05.20.Dd, 02.50.Ey