Stability of a growth process generated by monomer filling with nearest-neighbour cooperative effects

V Shcherbakov, S Volkov

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)

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.
Translated title of the contributionStability of a growth process generated by monomer filling with nearest-neighbour cooperative effects
Original languageEnglish
Pages (from-to)926 - 948
Number of pages23
JournalStochastic Processes and their Applications
Volume120
Issue number6
DOIs
Publication statusPublished - Jun 2010

Bibliographical note

Publisher: Elsevier

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