Simulating discrete models of pattern formation by ion beam sputtering

Alexander K Hartmann, Reiner Kree, Taha Yasseri
2009 Journal of Physics: Condensed Matter  
A class of simple, (2+1) dimensional, discrete models is reviewed, which allow to study the evolution of surface patterns on solid substrates during ion beam sputtering (IBS). The models are based on the same assumptions about the erosion process as the existing continuum theories. Several distinct physical mechanisms of surface diffusion are added, which allow to study the interplay of erosion driven and diffusion driven pattern formation. We present results from our own work on evolution
more » ... k on evolution scenarios of ripple patterns, especially for longer time scales, where nonlinear effects become important. Furthermore we review kinetic phase diagrams, both with and without sample rotation, which depict the systematic dependence of surface patterns on the shape of energy depositing collision cascades after ion impact. Finally, we discuss some results from more recent work on surface diffusion with Ehrlich-Schwoebel barriers as driving force for pattern formation during IBS and on Monte Carlo simulations of IBS with codeposition of surfactant atoms.
doi:10.1088/0953-8984/21/22/224015 pmid:21715753 fatcat:qqivkd2lajfvhcramwqsonnct4