Non-local effects in phase separation dynamics

Yasumasa Nishiura, Isamu Ohnishi

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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.

Original languageEnglish
Pages (from-to)229-231
Number of pages3
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Issue numberSUPPL. 4
Publication statusPublished - 1996 Dec 1
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics


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