Edwards measures for powders and glasses

Details Edwards measures for powders and glasses Edwards measures for powders and glasses

2000-06-08

arxiv.org/abs/cond-mat/0006140v2

Phys. Rev. Lett. 85, 5034 (2000).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures; (minor changes, refs. added) to appear in PRL

Scientific paper

10.1103/PhysRevLett.85.5034

Can one construct a thermodynamics for compact, slowly moving powders and grains? A few years ago, Edwards proposed a possible step in this direction, raising the fascinating perspective that such systems have a statistical mechanics of their own, different from that of Maxwell, Boltzmann and Gibbs, allowing us to have some information while still ignoring dynamic details. Recent developments in the theory of glasses have come to confirm these ideas within mean-field. In order to go beyond, we explicitly generate Edwards' measure in a model that, although schematic, is three dimensional. Comparison of the results thus obtained with the irreversible compaction data shows very good agreement. The present framework immediately suggests new experimental checks.

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