Non-local effects in phase separation dynamics

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 ([8]). On the other hand, for the second case, the binding between two different monomers causes a spacial non-local connectivity ([11], [3], [9]). 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.