Elastic Energy, Fluctuations and Temperature for Granular Materials

Abstract

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.

4 pages, 4 figures

References in corpus (6)

• Two-time scales, two-temperature scenario for nonlinear rheology
• Effective Temperatures of a Driven System Near Jamming
• Logarithmic rate dependence in deforming granular materials
• Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
• Mechanisms for slow strengthening in granular materials
• Dynamics of spherical particles on a surface: About collision induced sliding and other effects

Cited by in corpus (4)

• Suppression and emergence of granular segregation under cyclic shear
• Effective Temperatures in Athermal Systems Sheared at Fixed Normal Load
• A new kinetic theory model of granular flows that incorporates particle stiffness
• Stabilization of nonlinear velocity profiles in athermal systems undergoing planar shear flow