Exponential and power law distribution of mass clusters in a (magnetic-like) deposition model of elongated grains in 2D piles

Trojan, K; Ausloos, Marcel; Cloots, Rudi

doi:10.1142/S0129183104006571

Article (Scientific journals)

Exponential and power law distribution of mass clusters in a (magnetic-like) deposition model of elongated grains in 2D piles

Trojan, K; Ausloos, Marcel; Cloots, Rudi

2004 • In International Journal of Modern Physics. C, 15 (8), p. 1121 - 1141

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https://hdl.handle.net/2268/336236

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10.1142/S0129183104006571

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Keywords :

Ballistic deposition; Density; Percolation; Sandpile

Abstract :

[en] 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.

Disciplines :

Physics
Chemistry

Author, co-author :

Trojan, K; Institute of Theoretical Physics, University of Wrocław, 50-204 Wrocław, pl. M. Borna 9, Poland

Ausloos, Marcel ; Université de Liège - ULiège > Département de physique

Cloots, Rudi ; Université de Liège - ULiège > Département de chimie (sciences) > GREEnMat

Language :

English

Title :

Exponential and power law distribution of mass clusters in a (magnetic-like) deposition model of elongated grains in 2D piles

Publication date :

2004

Journal title :

International Journal of Modern Physics. C

ISSN :

0129-1831

Publisher :

World Scientific Publishing Co., Sg

Volume :

Issue :

Pages :

1121 - 1141

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://arxiv.org/abs/cond-mat/0404143

Available on ORBi :

since 24 September 2025

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