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Dynamic Scaling of Growing Interfaces

Mehran KardarPhysics Department, Harvard University, Cambridge, Massachusetts 02138Giorgio ParisiPhysics Department, University of Rome, I-00173 Rome, ItalyYi-Cheng ZhangPhysics Department Brookhaven National Laboratory* Upton, New York 11973
1986en
ABI

Annotatsiya

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.

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