Abstract
The dependence of the structural relaxation rates at a crystal-liquid surface on the degree of local order introduces a distribution of relaxation rates. The steady-state behavior of a nonequilibrium planar crystal-liquid surface with such an order-parameter-dependent Kinetic coefficient is studied using numerical solutions of a Landau-Ginzburg equation for a single nonconserved order parameter. The selected steady-state velocity is found to decouple from the slow relaxation rate of the solid as the supercooling is increased, giving rise to a nonlinear dependence of the velocity on the supercooling
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