Volume 67, Number 2, July 2004
|Page(s)||205 - 211|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 July 2004|
Elastic energy, fluctuations and temperature for granular materials
Department of Mathematical Sciences & Center for Applied Mathematics & Statistics New Jersey Institute of Technology, Newark, NJ 07102, USA
2 Department of Physics and Center for Nonlinear and Complex Systems Duke University, Durham, NC 27708-0305, USA
Accepted: 7 May 2004
We probe, using a model system, elastic and kinetic energies for sheared granular materials. For large enough (pressure/Young's modulus) and (P/kinetic energy density) elastic dominates kinetic energy, and energy fluctuations become primarily elastic in nature. This regime has likely been reached in recent experiments. We consider a generalization of the granular temperature, , with both kinetic and elastic terms and that changes smoothly from one regime to the other. This is roughly consistent with a temperature adapted from equilibrium statistical mechanics.
PACS: 45.70.-n – Granular systems / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 64.70.Pf – Glass transitions
© EDP Sciences, 2004
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