Extension of Haff's cooling law in granular flows



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Brito, Ricardo and Ernst, M. H. (1998) Extension of Haff's cooling law in granular flows. Europhysics Letters, 43 (5). pp. 497-502. ISSN 0295-5075

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Official URL: http://iopscience.iop.org/0295-5075/43/5/497/pdf/0295-5075_43_5_497.pdf


The total energy E(t) in a fluid of inelastic particles is dissipated through inelastic collisions. When such systems are prepared in a homogeneous initial state and evolve undriven, E(t) decays initially as t^(−2) ~ exp[−2ετ ] (known as Haff's law), where “τ” is the average number of collisions suffered by a particle within time t, and ε = 1−α2 measures the degree of inelasticity, with α the coefficient of normal restitution. This decay law is extended for large times to E(t) ~ τ^(−d/2) in d dimensions, far into the nonlinear clustering regime. The theoretical predictions are quantitatively confirmed by computer simulations, and hold for small to moderate inelasticities with 0.6 < α < 1.

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© EDP Sciences. It is a pleasure to thank D. Frenkel for an invaluable comment and helpful correspondence. We thank T. P. C. van Noije, J. A. G. Orza, I. Pagonabarraga and M. Hagen for stimulating discussions. The authors also acknowledge financial support from the Offces of
International Relations of Universidad Complutense and Universiteit Utrecht. One of us (RB) acknowledges support to DGICYT (Spain) number PB94-0265.

Uncontrolled Keywords:Statistical Mechanics, Kinetic Theory, Porous Materials, Granular Materials
Subjects:Sciences > Physics > Thermodynamics
ID Code:21474
Deposited On:30 Jun 2013 15:57
Last Modified:24 Jul 2018 11:00

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