Glassy dynamics in granular compaction: sand on random graphs

Details Glassy dynamics in granular compaction: sand on random graphs Glassy dynamics in granular compaction: sand on random graphs

2001-08-14

arxiv.org/abs/cond-mat/0108225v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages Revtex, minor changes, to appear in PRE

Scientific paper

10.1103/PhysRevE.65.031305

We discuss the use of a ferromagnetic spin model on a random graph to model granular compaction. A multi-spin interaction is used to capture the competition between local and global satisfaction of constraints characteristic for geometric frustration. We define an athermal dynamics designed to model repeated taps of a given strength. Amplitude cycling and the effect of permanently constraining a subset of the spins at a given amplitude is discussed. Finally we check the validity of Edwards' hypothesis for the athermal tapping dynamics.

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