ISSN:
1572-9613
Keywords:
Cluster growth models
;
Eden model
;
kinetic growth walk
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We propose a new class of cluster growth models where growth sites have a finite lifetime τ, which contains as special cases the Eden model (τ = ∞) and the kinetic growth walk (τ = 1). For finite but large τ values the growth process can be characterized by a crossover timet X; for times belowt X an Eden-type cluster is formed, while for times abovet X the growth process belongs to the universality class of the self-avoiding random walk. The crossover time increases monotonically with τ. We develop a scaling theory for the time evolution of the mean end-to-end distance between the seed and the last-added site, and for the average number of growth sites by which the kinetics of the growth process can be characterized. We test this scaling theory by extensive Monte Carlo simulations. We also extend our results to inhomogeneous media (percolation systems).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01009033
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