RT Journal Article
T1 Extension of Haff's cooling law in granular flows
A1 Ernst, M. H.
A1 Brito López, Ricardo
AB 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.
PB EDP Sciences
SN 0295-5075
YR 1998
FD 1998-09-01
LK https://hdl.handle.net/20.500.14352/58494
UL https://hdl.handle.net/20.500.14352/58494
LA eng
NO © 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 ofInternational Relations of Universidad Complutense and Universiteit Utrecht. One of us (RB) acknowledges support to DGICYT (Spain) number PB94-0265.
NO Offices of International Relations of Universidad Complutense
NO Universiteit Utrecht
NO DGICYT (Spain)
DS Docta Complutense
RD 22 abr 2025