EXPONENTIAL AND POWER LAW DISTRIBUTION OF MASS CLUSTERS IN A (MAGNETIC-LIKE) DEPOSITION MODEL OF ELONGATED GRAINS IN 2D PILES

K. Trojan, Marcel Ausloos and R. Cloots
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K. Trojan: SUPRATECS (SUPRATECS = Services Universitaires Pour la Recherche et les Applications Technologiques de matériaux Electro-céramiques, Composites, Supraconducteurs.), Institute of Physics, B5, University of Liège, B-4000 Liège, Euroland;
R. Cloots: LCIS (LCIS = Laboratoire de Chimie Inorganique Structurale, a member of the SUPRATECS Centre.), Institute of Chemistry, B6, University of Liège, B-4000 Liège, Euroland

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 08, 1121-1141

Abstract: A generalized 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. The 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.

Keywords: Sandpile; ballistic deposition; percolation; density (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006571

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