Elastic Energy, Fluctuations and Temperature for Granular Materials

Details Elastic Energy, Fluctuations and Temperature for Granular Materials Elastic Energy, Fluctuations and Temperature for Granular Materials

2003-07-23

arxiv.org/abs/cond-mat/0307555v1

Europhysics Letters, 67(2), pp. 205-211 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1209/epl/i2004-10061-5

We probe, using a model system, elastic and kinetic energies for sheared granular materials. For large enough $P/E_y$ (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, $T_g$, with both kinetic and elastic terms and that changes smoothly from one regime to the other. This $T_g$ is roughly consistent with a temperature adapted from equilibrium statistical mechanics.

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