A ``Tetris''-like model for the Compaction of Dry Granular Media

Details A ``Tetris''-like model for the Compaction of Dry Granular Media A ``Tetris''-like model for the Compaction of Dry Granular Media

1997-05-20

arxiv.org/abs/cond-mat/9705195v2

Physics

Condensed Matter

4 pages, Latex including 2 PS figures (reference corrected). Subm. to Phys. Rev. Lett. (1997)

Scientific paper

10.1103/PhysRevLett.79.1575

We propose a two-dimensional geometrical model, based on the concept of geometrical frustration, conceived for the study of compaction in granular media. The dynamics exhibits an interesting inverse logarithmic law that is well known from real experiments. Moreover we present a simple dynamical model of $N$ planes exchanging particles with excluded volume problems, which allows to clarify the origin of the logarithmic relaxations and the stationary density distribution. A simple mapping allows us to cast this Tetris-like model in the form of an Ising-like spin systems with vacancies.

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