Limit theorems for monolayer ballistic deposition in the continuum

Details Limit theorems for monolayer ballistic deposition in the continuum Limit theorems for monolayer ballistic deposition in the continuum

2001-06-08

arxiv.org/abs/cond-mat/0106163v1

Physics

Condensed Matter

Statistical Mechanics

22 pages

Scientific paper

We consider a deposition model in which balls rain down at random towards a 2-dimensional surface, roll downwards over existing adsorbed balls, are adsorbed if they reach the surface, and discarded if not. We prove a spatial law of large numbers and central limit theorem for the ultimate number of balls adsorbed onto a large toroidal surface, and also for the number of balls adsorbed on the restriction to a large region of an infinite surface.

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