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On the critical cluster in the two-dimensional Ising model: computer-assisted exact results
Vitaly A Shneidman1, Gelu M Nita
1Department of Physics, New Jersey Institute of Technology, Newark, NJ 07102, USA.
The Journal of Chemical Physics
|January 7, 2005
Abstract:
For a nearest-neighbor Ising model on a square lattice all cluster configurations with 17 or fewer spins are identified. In neglect of cluster-cluster interactions, critical sizes and barriers to nucleation are obtained as functions of temperature and magnetic field for two alternative definitions of a "critical cluster."