Conserved mass models with stickiness and chipping

Details Conserved mass models with stickiness and chipping Conserved mass models with stickiness and chipping

2012-02-21

arxiv.org/abs/1202.4643v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 9 figures

Scientific paper

We introduce a chipping model in one dimensional periodic lattice with continuous mass. The model evolves following a parallel or random sequential dynamics where a fixed fraction of the mass of any site is distributed randomly among the departure site and its neighbors, and the remaining mass sticks to the site. We have calculated the steady state mass distribution of the model perturbatively for both symmetric and asymmetric mass-transfer. In most cases, the product measure turns out to be a good approximation.

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