Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-03-03
Phys. Rev. E 56, 1976 (1997).
Physics
Condensed Matter
Statistical Mechanics
6 pages, RevTEX, 7 postscript figures and psfig.sty included
Scientific paper
10.1103/PhysRevE.56.1976
We introduce a one-dimensional sandpile model with $N$ different particle types and an infinitesimal driving rate. The parameters for the model are the N^2 critical slopes for one type of particle on top of another. The model is trivial when N=1, but for N=2 we observe four broad classes of sandpile structure in different regions of the parameter space. We describe and explain the behaviour of each of these classes, giving quantitative analysis wherever possible. The behaviour of sandpiles with N>2 essentially consists of combinations of these four classes. We investigate the model's robustness and highlight the key areas that any experiment designed to reproduce these results should focus on.
Head David A.
Rodgers Geoff J.
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