title: Glassy dynamics in granular compaction: sand on random graphs.
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.
authors.affiliation: Abdus Salam International Centre for Theoretical Physics, 34100 Trieste, Italy.
authors.forename: Johannes
authors.initials: J
authors.lastname: Berg
authors.forename: Anita
authors.initials: A
authors.lastname: Mehta