PMID: 11909044Mar 23, 2002Paper

Glassy dynamics in granular compaction: sand on random graphs

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Johannes Berg, Anita Mehta

Abstract

We discuss the use of a ferromagnetic spin model on a random graph to model granular compaction. A multispin 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's hypothesis for the athermal tapping dynamics.

References

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Citations

Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ping WangHernán A Makse
Feb 11, 2005·Proceedings of the National Academy of Sciences of the United States of America·Chaoming SongHernán A Makse
Apr 25, 2018·Proceedings of the National Academy of Sciences of the United States of America·Behrooz FerdowsiDouglas J Jerolmack
Jun 6, 2003·Physical Review Letters·David S Dean, Alexandre Lefèvre
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lj Budinski-PetkovićS B Vrhovac
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Cécile Monthus, Pierre Le Doussal
Feb 21, 2006·Physical Review Letters·Philippe RibièreWolfgang Losert
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Prados, J Javier Brey

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