MSE Seminar Series: Dio Margetis
Friday, November 18, 2011
Room 2110 Chemical and Nuclear Engineering Bldg.
301 405 5240
From Step Motion to Continuum Laws in Epitaxial Relaxation: Lessons and Challenges
Department of Mathematics
University of Maryland
Epitaxial growth is a rapidly evolving area of research where ideas of physics, materials science and mathematics fuse in order to advance knowledge about material surfaces and their properties. This talk will address recent progress, and open challenges, in establishing analytically a connection between two scales involved in the morphological relaxation of crystal surfaces below the roughening transition temperature. At the nanoscale, line defects (steps) of atomic size are evident; their motion is described by large systems of discrete schemes. At the macroscale, surface evolution is described by nonlinear Partial Differential Equations (PDEs) for the (continuum-scale) surface height and slope profiles. The talk will focus on challenging issues emerging from the need to make computationally accurate PDE-based predictions consistent with the motion of steps.