Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-06-08
Physics
Condensed Matter
Statistical Mechanics
12 pages
Scientific paper
10.1088/0305-4470/34/32/303
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.
Penrose Mathew D.
Yukich Joseph E.
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