Nonequilibrium Interface Dynamics:
Hierarchical Modeling and Multiscale Simulation of Materials Interfaces

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Dynamical Scaling of Surface Growth in Simple Lattice Models

Dr. David Landau

Center for Simulational Physics, University of Georgia

Abstract:   We present extensive simulations of the atomistic Edwards-Wilkinson (EW) and Restricted Edwards-Wilkinson (REW) models in 2+1 dimensions.  Dynamic finite size scaling analyses of the interfacial width and structure factor provide estimates for the dynamic exponent z=1.65(5) for the EW model and z=2.0(1) for the REW model.  The stochastic contribution to the interface velocity U due to the deposition and diffusion of particles is characterized for both models using a blocking procedure.  For the EW model the time displaced temporal correlations in U show non-exponential decay while they decay exponentially for the REW model.  Dynamical scaling of the temporal correlation function for the EW model yields a value of z which is consistent with the estimate obtained from finite size scaling of the interface width and structure factor.