Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-04-03
Phys. Rev. B 75, 132101 (2007) (Brief Report)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures. Version with one higher-quality figure available at http://www.fis.unam.mx/~dsanders/publications.html v2:
Scientific paper
10.1103/PhysRevB.75.132101
We introduce a simple nearest-neighbor spin model with multiple metastable phases, the number and decay pathways of which are explicitly controlled by the parameters of the system. With this model we can construct, for example, a system which evolves through an arbitrarily long succession of metastable phases. We also construct systems in which different phases may nucleate competitively from a single initial phase. For such a system, we present a general method to extract from numerical simulations the individual nucleation rates of the nucleating phases. The results show that the Ostwald rule, which predicts which phase will nucleate, must be modified probabilistically when the new phases are almost equally stable. Finally, we show that the nucleation rate of a phase depends, among other things, on the number of other phases accessible from it.
Larralde Hernán
Leyvraz Francois
Sanders David P.
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