We consider two non-local effects in phase separation dynamics. One is a non-local self-stress effect for a binary substitutional solid solution and the other is a non-local constraint arising in block copolymers. The origins of the above two non-localities are different, namely, for the first case, it comes from the fact that the characteristic time for stress change is much smaller than that for atomic diffusion (). On the other hand, for the second case, the binding between two different monomers causes a spacial non-local connectivity (, , ). The coarsening process is usually very slow without stress effects, however it is acceralated drastically by adding the stress effect. The non-local effect for copolymer case makes a sharp contrast with the stress case, namely, the spacial connectivity stops the coarsening process at mesoscopic level and very fine micro-structures are formed spontaneously.
|Number of pages||3|
|Journal||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|Issue number||SUPPL. 2|
|Publication status||Published - 1996 Dec 1|
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics