Temperature and disequilibrium dependence of cluster growth

Gliozzi, A, Levi, A C, Menessini, M and Scalas, E (1994) Temperature and disequilibrium dependence of cluster growth. Physica A: Statistical Mechanics and its Applications, 203 (3-4). pp. 347-358. ISSN 0378-4371

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Abstract

A 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 βJ and to the disequilibrium βΔμ. The relation between the simulations and the continuum thermal model is discussed, and the dependence of growth morphologies on the anisotropy ε 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 < βJ < 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QC Physics > QC0170 Atomic physics. Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Depositing User: Enrico Scalas
Date Deposited: 03 Oct 2014 13:18
Last Modified: 03 Oct 2014 13:18
URI: http://sro.sussex.ac.uk/id/eprint/50328
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