Stability of a growth process generated by monomer filling with nearest-neighbor cooperative effects
Shcherbakov, Vadim and Volkov, Stanislav LU
(2010)
In Stochastic Processes and their Applications
120(6).
p.926-948
- 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 Pólya urn scheme with local geometric interaction.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4359871
- author
- Shcherbakov, Vadim
and Volkov, Stanislav
LU
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Cooperative sequential adsorption, Deposition, Growth, Urn models, Reinforced random walks, Lyapunov function
- in
- Stochastic Processes and their Applications
- volume
- 120
- issue
- 6
- pages
- 926 - 948
- publisher
- Elsevier
- external identifiers
-
- scopus:77950593843
- ISSN
- 1879-209X
- DOI
- 10.1016/j.spa.2010.01.020
- language
- English
- LU publication?
- no
- id
- e6caef92-6827-4b73-a17a-5d6751ccaafa (old id 4359871)
- date added to LUP
- 2016-04-01 10:52:11
- date last changed
- 2022-01-26 03:17:48
@article{e6caef92-6827-4b73-a17a-5d6751ccaafa,
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.<br/><br>
<br/><br>
The model can be regarded as a variant of a Pólya urn scheme with local geometric interaction.}},
author = {{Shcherbakov, Vadim and Volkov, Stanislav}},
issn = {{1879-209X}},
keywords = {{Cooperative sequential adsorption; Deposition; Growth; Urn models; Reinforced random walks; Lyapunov function}},
language = {{eng}},
number = {{6}},
pages = {{926--948}},
publisher = {{Elsevier}},
series = {{Stochastic Processes and their Applications}},
title = {{Stability of a growth process generated by monomer filling with nearest-neighbor cooperative effects}},
url = {{http://dx.doi.org/10.1016/j.spa.2010.01.020}},
doi = {{10.1016/j.spa.2010.01.020}},
volume = {{120}},
year = {{2010}},
}