Classical and non-classical descriptions of nucleation in an Ising ferromagnet vs Monte Carlo simulations

Shneidman, V. A.; Jackson, K. A.; Beatty, K. M.
August 2000
AIP Conference Proceedings;2000, Vol. 534 Issue 1, p406
Academic Journal
Large scale Monte Carlo simulations and theoretical analysis of thermodynamic properties of small clusters and large nuclei on two-dimensional Ising lattices were performed in order to test the kinetic and thermodynamic aspects of several mainstream nucleation approaches. The kinetics predicted by the classical theory (i.e. the time evolution of cluster distributions) is accurate at intermediate temperatures as long as the description relies on measured (not calculated!) equilibrium distributions and as long as coagulation between clusters can be neglected. However, the classical theory seriously overestimates the equilibrium cluster populations — this can be unambiguously demonstrated since the interfacial tensions for two-dimensional Ising systems are known exactly from the Onsager solution and from later developments. Alternatives to classical description are also considered, and ways to improve the correspondence between theory and simulations are discussed.


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