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Dynamic Scaling of Growing Interfaces
1986
Physical Review Letters
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A model is proposed for the evolutior. 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
doi:10.1103/physrevlett.56.889
pmid:10033312
fatcat:2pwdgkmy7rgnld4gtjmuhwhqyu