Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2012-04-16
Physics
Condensed Matter
Statistical Mechanics
9 pages, 6 figures
Scientific paper
We combine the shear-transformation-zone (STZ) theory of amorphous plasticity with Edwards' statistical theory of granular materials to describe shear flow in a disordered system of thermalized hard spheres. The equations of motion for this system are developed within a statistical thermodynamic framework analogous to that which has been used in the analysis of molecular glasses. For hard spheres, the system volume $V$ replaces the internal energy $U$ as a function of entropy $S$ in conventional statistical mechanics. In place of the effective temperature, the compactivity $X = \partial V / \partial S$ characterizes the internal state of disorder. We derive the STZ equations of motion for a granular material accordingly, and predict the strain rate as a function of the ratio of the shear stress to the pressure for different values of a dimensionless, temperature-like variable near a jamming transition. We use a simplified version of our theory to interpret numerical simulations by Haxton, Schmiedeberg and Liu, and in this way are able to obtain useful insights about internal rate factors and relations between jamming and glass transitions.
Langer James S.
Lieou Charles K. C.
No associations
LandOfFree
Non-equilibrium thermodynamics in sheared hard-sphere materials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non-equilibrium thermodynamics in sheared hard-sphere materials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-equilibrium thermodynamics in sheared hard-sphere materials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-7262