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.
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