Stability of a growth process generated by monomer filling with nearest-neighbour cooperative effects
Probability
2009-12-16 v3
Abstract
We study stability of a growth process generated by sequential adsorption of particles on a one-dimensional lattice torus, that is, the process formed by the numbers of adsorbed particles at lattice sites, called heights. Here the stability of process, loosely speaking, means that its components grow at approximately the same rate. To assess stability quantitatively, we investigate the stochastic process formed by differences of heights. The model can be regarded as a variant of a Polya urn scheme with local geometric interaction.
Keywords
Cite
@article{arxiv.0905.0835,
title = {Stability of a growth process generated by monomer filling with nearest-neighbour cooperative effects},
author = {Vadim Shcherbakov and Stanislav Volkov},
journal= {arXiv preprint arXiv:0905.0835},
year = {2009}
}