Effect of shape on the critical nucleus size in a three-dimensional Ising model: Energetic and kinetic approaches

Berim, Gersh O.; Ruckenstein, Eli
October 2002
Journal of Chemical Physics;10/22/2002, Vol. 117 Issue 16, p7732
Academic Journal
The initial growth rate and the excitation energy of spin clusters of different shapes (cubic, stair-like, pyramidal) on a three-dimensional cubic lattice were calculated, assuming Ising-type interactions between spins and the Glauber-type spin dynamics. Using energetic and kinetic approaches, the critical cluster size was obtained and compared with existing Monte Carlo "experiments." It was shown that in most cases the kinetic approach fits better the "experimental" results than the energetic one. A shape independent kinetic criterium for a critical cluster size was also formulated on the basis of an analysis of all possible configurations of a cluster with a given number of spins.


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