The shell model: a growth model with a tunable fraction of forgotten growth sites
- 21 June 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (9) , L523-L529
- https://doi.org/10.1088/0305-4470/18/9/007
Abstract
The authors introduce and discuss a new model in which the growth sites are driven with a power law, ralpha , away from the original seed. The concept of 'forgotten' growth sites is developed. They find that the fraction of forgotten growth sites, the 'order parameter' for this problem, is zero for alpha below a critical value alpha c=1, and increases sharply for alpha > alpha c with a critical exponent beta approximately=2/3 in two dimensions.Keywords
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