Research on: Hydrodynamic Limits of Particle Systems for Crystal SurfacesSep 13 - 16, 2013Ctr for Scientific Computation & Math. Modeling, UMd |
ABSTRACTAtomistic models for crystalline materials include stochastic lattice-gas as well as ball-and-spring models. Such descriptions can be used in the mathematical modeling of epitaxial growth. In the formal limit where a microscopic length approaches zero, these models may give rise to continuum equations for macroscopic variables of interest with effective parameters that depend on atomistic features. The continuum limit is valuable in making connections to phenomena, e.g., pattern formation, observed in lab experiments. GOALSThis research program aims to develop a better mathematical understanding of hydrodynamic limits stemming from known particle systems for crystal surfaces. This KIT (Kinetic Interaction Team) will bring together experts to spend several days in order to advance the study of stochastic lattice-gas and other atomistic models. The topics to be studied include both analytical and computational/numerical approaches, such as kinetic Monte Carlo methods, based on models at different scales, from the atomistic to the continuum. |
CONFIRMED PARTICIPANTS |
INFORMATION FOR PARTICIPANTSCtr for Scientific Computation & Math. Modeling, UMd (CSCAMM,UMd) Email: dio@math.umd.edu |