Mathematics of random growing interfaces
Statistical Mechanics
2009-11-07 v1 Probability
Abstract
We establish a thermodynamic limit and Gaussian fluctuations for the height and surface width of the random interface formed by the deposition of particles on surfaces. The results hold for the standard ballistic deposition model as well as the surface relaxation model in the off-lattice setting. The results are proved with the aid of general limit theorems for stabilizing functionals of marked Poisson point processes.
Cite
@article{arxiv.cond-mat/0106165,
title = {Mathematics of random growing interfaces},
author = {Mathew D. Penrose and J. E. Yukich},
journal= {arXiv preprint arXiv:cond-mat/0106165},
year = {2009}
}
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12 pages