Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-04-06
Int. J. Mod. Phys. C 15, 1121-1141 (2004)
Physics
Condensed Matter
Statistical Mechanics
submitted to Int.J. Mod. Phys. C; 16 figures; 79 references
Scientific paper
10.1142/S0129183104006571
A generalized so called magnetically controlled ballistic rain-like deposition (MBD) model of granular piles has been numerically investigated in 2D. The grains are taken to be elongated disks whence characterized by a two-state scalar degree of freedom, called ''nip'', their interaction being described through a Hamiltonian. Results are discussed in order to search for the effect of nip flip (or grain rotation from vertical to horizontal and conversely) probability in building a granular pile. The characteristics of creation of + (or $-$) nip's clusters and clusters of holes (missing nips) are analyzed. Two different cluster-mass regimes have been identified, through the cluster-mass distribution function which can be exponential or have a power law form depending on whether the nip flip (or grain rotation) probability is large or small. Analytical forms of the exponent are empirically found in terms of the Hamiltonian parameters.
Ausloos Marcel
Cloots Rudi
Trojan Kamil
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