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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: www.cscamm.umd.edu/directions

Diffusion-driven Coarsening: Lifshitz-Slyozov-Wagner Models of Ostwald Ripening and Rigorous Upper Bounds

Dr. Robert Pego

Department of Mathematics, University of Maryland

Abstract:   Entropy increases, and at constant temperature, free energy decreases. Morphologically complex systems dominated by interfacial energy exhibit coarsening behavior associated with dynamic scaling laws which are not so well understood. I'll describe the classic LSW (Lifshitz-Slyozov-Wagner) mean-field model of Ostwald ripening that serves as a paradigm for dynamic scaling, and discuss recent progress of Kohn and Otto toward justifying dynamic scaling laws through rigorous upper bounds derived from underlying diffuse-interface models.