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Scaling theory for the free-energy barrier to homogeneous nucleation of a non-critical phase near a critical point

Sear, RP (2001) Scaling theory for the free-energy barrier to homogeneous nucleation of a non-critical phase near a critical point Journal of Chemical Physics, 116 (7). 2922 - 2927. ISSN 0021-9606

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Abstract

Homogeneous nucleation of a new phase near an Ising-like critical point of another phase transition is studied. A scaling analysis shows that the free energy barrier to nucleation contains a singular term with the same scaling as the order parameter associated with the critical point. The total magnetisation of the nucleus scales as the response function and so it diverges. Vapour-liquid critical points are in the Ising universality class and so our results imply that near such a critical point the number of molecules in a nucleus of a another phase, such as a crystalline phase, diverges as the isothermal compressibility. The case where symmetry prevents coupling between the nucleus and the order parameter is also considered.

Item Type: Article
Additional Information: Copyright 2001 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Chemical Physics, 116 (7)and may be found at http://dx.doi.org/10.1063/1.1436477.
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Divisions: Faculty of Engineering and Physical Sciences > Physics
Depositing User: Symplectic Elements
Date Deposited: 28 Sep 2012 08:50
Last Modified: 23 Sep 2013 19:34
URI: http://epubs.surrey.ac.uk/id/eprint/712471

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