Dynamics of Nucleation in the Ising Model

Details Dynamics of Nucleation in the Ising Model Dynamics of Nucleation in the Ising Model

2004-08-13

arxiv.org/abs/cond-mat/0408331v1

J. Phys. Chem. B 108, 19681-19686 (2004)

Physics

Condensed Matter

Statistical Mechanics

In press at the Journal of Physical Chemistry B, 7 pages, 8 figures

Scientific paper

Reactive pathways to nucleation in a three-dimensional Ising model at 60% of the critical temperature are studied using transition path sampling of single spin flip Monte Carlo dynamics. Analysis of the transition state ensemble (TSE) indicates that the critical nuclei are rough and anisotropic. The TSE, projected onto the free energy surface characterized by cluster size, N, and surface area, S, indicates the significance of other variables in addition to these two traditional reaction coordinates for nucleation. The transmission coefficient along N is ~ 0.35, and this reduction of the transmission coefficient from unity is explained in terms of the stochastic nature of the dynamic model.

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