Dynamic Scaling of Growing Interfaces
Jan, 198613 pages
Published in:
- Phys.Rev.Lett. 56 (1986) 889
Report number:
- BNL-37420
Citations per year
Abstract: (APS)
A model is proposed for the evolution of the profile of a growing interface. The deterministic growth is solved exactly, and exhibits nontrivial relaxation patterns. The stochastic version is studied by dynamic renormalization-group techniques and by mappings to Burgers's equation and to a random directed-polymer problem. The exact dynamic scaling form obtained for a one-dimensional interface is in excellent agreement with previous numerical simulations. Predictions are made for more dimensions.References(20)
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