a Institute for Pure and Applied Mathematics, UCLA, Los Angeles, CA 90095, U.S.A.;b Department of Mathematics, UCLA, Los Angeles, CA 90095, U.S.A.;Institute for Pure and Applied Mathematics, UCLA, Los Angeles, CA 90095, U.S.A.
Abstract:
We adapt the level-set method to simulate epitaxial growth of thin films on a surface that consists of different reconstruction domains. Both the island boundaries and the boundaries of the reconstruction domains are described by different level-set functions. A formalism of coupled level-set functions that describe entirely different physical properties is introduced, where the velocity of each level-set function is determined by the value of the other level-set functions.