Europhys. Lett.
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
Europhys. Lett., 67 (2) , pp. 205-211 (2004)
DOI: 10.1209/epl/i2004-10061-5

Elastic energy, fluctuations and temperature for granular materials

L. Kondic1 and R. P. Behringer2

1  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

(Received 11 February 2004; accepted in final form 7 May 2004)

We probe, using a model system, elastic and kinetic energies for sheared granular materials. For large enough P/Ey (pressure/Young's modulus) and $P/\rho v^2$ ( 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, $T_{\ab{g}}$, with both kinetic and elastic terms and that changes smoothly from one regime to the other. This $T_{\ab{g}}$ is roughly consistent with a temperature adapted from equilibrium statistical mechanics.

45.70.-n - Granular systems.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
64.70.Pf - Glass transitions.

© EDP Sciences 2004