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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > Nonequilibrium Interface Dynamics > Tutorials

Nonequilibrium Interface Dynamics:
Theory and Simulation from Atomistic to Continuum Scales

CSIC Building (#406), Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions

Mean-field Agglomeration Models, Stochastic Effects

Dr. Robert Pego

Department of Mathematics, University of Maryland

Abstract:   Models of interfacial growth and coarsening can involve stochastic effects. Understanding the statistical properties of solutions of nonlinear field equations is a fundamental scientific problem in general. I'll describe several mean-field models of coarsening and discuss the effects of noise. Also I'll describe 2-D models of epitaxial growth by ballistic deposition, including the KPZ (Kadar-Parisi-Zhang) and the Lai-dasSarma models. An important mean-field model of agglomeration or clustering is Smoluchowski's coagulation equation. Surprisingly it has a rigorous connection to Burgers' classic "turbulence" model.