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Muratov C.B., Vanden-Eijnden E. — Breakup of Universality in the Generalized Spinodal Nucleation Theory
Muratov C.B., Vanden-Eijnden E. — Breakup of Universality in the Generalized Spinodal Nucleation Theory



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Название: Breakup of Universality in the Generalized Spinodal Nucleation Theory

Авторы: Muratov C.B., Vanden-Eijnden E.

Аннотация:

Journal of Statistical Physics, Vol. 114, Nos. 3/4, February 2004, p. 605-623.
The problem of nucleation near spinodal is revisited. It is shown that the standard scaling argument due to Unger and Klein [Phys. Rev. B 29:2698-2708 (1984)] based on neglecting all but the first two terms of the Taylor expansion of the potential in the free energy functional is only valid below critical dimension. At critical dimension, the nucleating droplet has a bigger amplitude and a smaller spatial extent than predicted by the standard scaling argument. In this case the structure of the droplet is determined in a nontrivial fashion by the next order term in the expansion of the potential. Above critical dimension, the amplitude of the nucleating droplet turns out to be too big to justify expanding the potential in Taylor series, and no universality is to be expected in the shape and size of the droplet. Both at and above critical dimension, however, the free energy barrier remains finite, which indicates that the nucleation rate does not vanish at spinodal as predicted by the standard scaling argument.


Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 19

Добавлена в каталог: 29.09.2013

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