Dynamic Scaling of Growing Interfaces
Open Access
- 3 March 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 56 (9), 889-892
- https://doi.org/10.1103/physrevlett.56.889
Abstract
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.Keywords
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