This paper describes some of the results published by the same authors in the paper "Phase transitions with line-tension effect". We study the asymptotic behaviour of the Cahn - Hilliard model with an additional boundary term given by a double-well potential. In a certain regime, the limit energy is non-local and is described in terms of boundary phases. When these phases coincide with the trace of the volume phases, the limit energy is the classical capillary energy with an extra term corresponding to line tension.
Boundary effects in phase transitions
ALBERTI, GIOVANNI;
1995-01-01
Abstract
This paper describes some of the results published by the same authors in the paper "Phase transitions with line-tension effect". We study the asymptotic behaviour of the Cahn - Hilliard model with an additional boundary term given by a double-well potential. In a certain regime, the limit energy is non-local and is described in terms of boundary phases. When these phases coincide with the trace of the volume phases, the limit energy is the classical capillary energy with an extra term corresponding to line tension.File in questo prodotto:
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