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Temperature and disequilibrium dependence of cluster growth
journal contribution
posted on 2023-06-08, 18:28 authored by A Gliozzi, A C Levi, M Menessini, Enrico ScalasA growth model, in which the morphology of the clusters grown depends on temperature and disequilibrium, is presented. The model is a modified version of Kadanoff's pedestrian model. Sticking, rearrangement and evaporation compete with rates appropriate to the inverse temperature ßJ and to the disequilibrium ß?µ. The relation between the simulations and the continuum thermal model is discussed, and the dependence of growth morphologies on the anisotropy e is stressed. As temperature and disequilibrium increase the clusters become more and more branched. The same occurs to a lesser extent, for given temperature and disequilibrium, as time goes by. For 4 < ßJ < 5 a fairly well defined tip-splitting transition takes place from a dendritic to a dense branching morphology. The model correctly describes the behaviour of the growth velocity v of a dendrite as a function of time. After a transient decrease, v tends to a constant value. The model may be relevant for understanding domain growth in a lipid monolayer.
History
Publication status
- Published
Journal
Physica A: Statistical Mechanics and its ApplicationsISSN
0378-4371Publisher
ElsevierExternal DOI
Issue
3-4Volume
203Page range
347-358Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-10-03Usage metrics
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