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

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

2001-06-19

arxiv.org/abs/cond-mat/0106377v2

Journal of Chemical Physics vol 116 p2922-2927 (2002)

Physics

Condensed Matter

Statistical Mechanics

7 pages including 2 figures (revision adds consideration of nuclei which do not couple to the order parameter and some dynamic

Scientific paper

10.1063/1.1436477

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.

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