TY - JOUR T1 - Interface Dynamics and Far-from-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights JO - East Asian Journal on Applied Mathematics VL - 4 SP - 297 EP - 371 PY - 2018 DA - 2018/02 SN - 1 DO - http://doi.org/10.4208/eajam.040411.030611a UR - https://global-sci.org/intro/article_detail/eajam/10922.html KW - Interface dynamics, epitaxial growth, non-equilibrium phase transitions. AB -

We review recent theoretical progress in the physical understanding of far-from-equilibrium phenomena seen experimentally in epitaxial growth and erosion on crystal surfaces. The formation and dynamics of various interface structures (pyramids, ripples, etc.), and also kinetic phase transitions observed between these structures, can all be understood within a simple continuum model based on the mass conservation law and respecting the symmetries of the growing crystal surface. In particular, theoretical predictions and experimental results are compared for (001), (110) and (111) crystal surfaces.