We propose a stochastic differential equation for the growth of interfaces that is invariant under reparametrization and thus incorporates the change in local time scales resulting from nonlinear distortions. In its most general form, the equation accommodates overhanging configurations and in the nearly planar limit it reduces to previously proposed interface evolution models. The new features are relevant and lead to qualitatively new behavior at long times.
Dynamics of Growing Interfaces
MARITAN, AMOS;TOIGO, FLAVIO;
1992
Abstract
We propose a stochastic differential equation for the growth of interfaces that is invariant under reparametrization and thus incorporates the change in local time scales resulting from nonlinear distortions. In its most general form, the equation accommodates overhanging configurations and in the nearly planar limit it reduces to previously proposed interface evolution models. The new features are relevant and lead to qualitatively new behavior at long times.
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