PMID: 11308725Apr 20, 2001Paper

Translational invariance in nucleation theories: theoretical formulation

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yannis DrossinosP G Georgopoulos

Abstract

The consequences of spontaneously broken translational invariance on the nucleation-rate statistical prefactor in theories of first-order phase transitions are analyzed. A hybrid, semiphenomenological approach based on field-theoretic analyses of condensation and modern density-functional theories of nucleation is adopted to provide a unified prescription for the incorporation of translational-invariance corrections to nucleation-rate predictions. A connection between these theories is obtained starting from a quantum-mechanical Hamiltonian and using methods developed in the context of studies on Bose-Einstein condensation. An extremum principle is used to derive an integro-differential equation for the spatially nonuniform mean-field order-parameter profile; the appropriate order parameter becomes the square root of the fluid density. The importance of the attractive intermolecular potential is emphasized, whereas the repulsive two-body potential is approximated by considering hard-sphere collisions. The functional form of the degenerate translational eigenmodes in three dimensions is related to the mean-field order parameter, and their contribution to the nucleation-rate prefactor is evaluated. The solution of the Euler-Lagra...Continue Reading

References

Nov 27, 1995·Physical Review Letters·K B DavisW Ketterle
Aug 28, 1995·Physical Review Letters·C C BradleyR G Hulet
Jul 14, 1995·Science·M H AndersonE A Cornell

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Citations

Nov 9, 2006·Journal of Toxicology and Environmental Health. Part B, Critical Reviews·Panos G Georgopoulos, Paul J Lioy
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yannis Drossinos, Panayotis G Kevrekidis

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