Glassy dynamics in granular compaction: sand on random graphs
无序系统与神经网络
2009-11-07 v2
摘要
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.
引用
@article{arxiv.cond-mat/0108225,
title = {Glassy dynamics in granular compaction: sand on random graphs},
author = {Johannes Berg and Anita Mehta},
journal= {arXiv preprint arXiv:cond-mat/0108225},
year = {2009}
}
备注
13 pages Revtex, minor changes, to appear in PRE