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Id Excited Granular Media: Clustering and Equation of State

Published online by Cambridge University Press:  03 September 2012

D.R.M. Williams  and
F.C. Mackintosh
D.R.M. Williams
Affiliation:
Institute of Advanced Studies, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, and Institute for Theoretical Physics, University of California at Santa Barbara, CA, 93106 and Department of Physics, University of Michigan, Ann Arbor MI 48109-1120.
F.C. Mackintosh
Affiliation:
Department of Physics, University of Michigan, Ann Arbor MI 48109-1120 and Institute for Theoretical Physics, University of California at Santa Barbara, CA, 93106.
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Abstract

We study a one-dimensional granular system, excited by white noise, with inelastic interactions between the particles. When the coefficient of restitution,η, is one, the particles are totally uncorrelated. As η decreases the particles cluster. A computer simulation of the system shows equilibrium clustering with a power law particle-particle correlation function. This correlation function is independent of the average kinetic energy of the particles but depends strongly on η We give simple analytical arguments to describe this clustering. We also present an “equation of state” for the particles, which relates the noise amplitude to the particle density and the average particle speed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 367: Symposium P – Fractal Aspects of Materials , 1994 , 501
Copyright
Copyright © Materials Research Society 1995

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