## Abstract

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 language | English |
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Pages (from-to) | 229-231 |

Number of pages | 3 |

Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |

Volume | 76 |

Issue number | SUPPL. 4 |

Publication status | Published - 1996 Dec 1 |

Externally published | Yes |

## ASJC Scopus subject areas

- Computational Mechanics
- Applied Mathematics