RT Journal Article ID 28cd3e210f50f558 A1 Gill, Simon P.A. A1 Spencer, Paul E. A1 Cocks, Alan C. E. T1 Mixed KMC-Continuum Models for the Evolution of Rough Surfaces JF International Journal for Multiscale Computational Engineering JO JMC YR 2005 FD 2005-06-07 VO 3 IS 2 SP 239 OP 256 AB An atomistic solid-on-solid (SOS) kinetic Monte Carlo (KMC) model for surface diffusion is found to exhibit curvature-driven decay. An equivalent continuum Mullins-Herring equation is derived and the two systems are shown to be compatible. A mixed KMC-continuum model is proposed that allows discrete atomistic simulations to be embedded within a smooth continuum. A blending region is introduced between the two model descriptions, which allow mass to be transferred between them in a consistent manner. The implementation of this multiscale modeling approach is illustrated with simulations of the decay of a sinusoid and a Gaussian peak. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,10820c0a715cf8ed,28cd3e210f50f558.html