The Spot Model for random-packing dynamics
| dc.creator | Bazant, Martin Z. | |
| dc.date | 2005-01-07 | |
| dc.date.accessioned | 2026-07-07T03:03:05Z | |
| dc.date.available | 2026-07-07T03:03:05Z | |
| dc.description | The diffusion and flow of amorphous materials, such as glasses and granular materials, has resisted a simple microscopic description, analogous to defect theories for crystals. Early models were based on either gas-like inelastic collisions or crystal-like vacancy diffusion, but here we propose a cooperative mechanism for dense random-packing dynamics, based on diffusing ``spots'' of interstitial free volume. Simulations with the Spot Model can efficiently generate realistic flowing packings, and yet the model is simple enough for mathematical analysis. Starting from a non-local stochastic differential equation, we derive continuum equations for tracer diffusion, given the dynamics of free volume (spots). Throughout the paper, we apply the model to granular drainage in a silo, and we also briefly discuss glassy relaxation. We conclude by discussing the prospects of spot-based multiscale modeling and simulation of amorphous materials. | |
| dc.description | 17 pages, 7 figs, invited SES conference paper | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0501130 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0501130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25627 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | The Spot Model for random-packing dynamics | |
| dc.type | text |