Tom Stephens, George Mason University


Nonlocal Extensions of the Classical Phase Field Model


Abstract: The Classical Phase Field Model represents a coupling of an Allen-Cahn type nonlinear equation with a standard diffusion equation. This model has been proposed to describe non-isothermal phase separation in a pure substance. This poster describes an extension of that model which takes into account nonlocal effects by introducing a convolution term involving the phase field variable. Results of simulations have been compared with those of the classical model, in order to understand the effects of the nonlocal contribution.

Advisors: Tom Wanner, Evelyn Sander, Maria Emelianenko and Dan Anderson (George Mason University)