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Matthias Röger
| Speaker: |
Matthias Röger (Max Planck Institute for Mathematics in
the Sciences, Leipzig)
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| Date: |
Wednesday March 14, 2007
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| Title: |
Sharp and diffuse
interface models for phase transitions
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Abstract
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Phase
separation is a common phenomenon in many areas of the sciences. The
composition of alloys, block-copolymers, melting and solidification
processes, they all show the coexistence of two or more phases,
separated by thin transition layers. We review the classical
Van-der-Waals--Cahn--Hilliard theory and report on some new results.
An interesting new area is the analysis of stochastic perturbations in
order to include `rare events' as for instance the nucleation of new
phases and the `switching' between stable states. As in the
deterministic setting a variational approach proves to be useful.
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