Point island dynamics under fixed rate deposition
Classical Analysis and ODEs
2018-12-14 v2
Abstract
In this paper we consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics of solutions, we use methods of centre manifold theory, and for globalisation, we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems. We also compare our results with those obtained by making the quasi-steady state assumption.
Cite
@article{arxiv.1802.05535,
title = {Point island dynamics under fixed rate deposition},
author = {D. Allen and M. Grinfeld and R. Sasportes},
journal= {arXiv preprint arXiv:1802.05535},
year = {2018}
}