title: On the critical cluster in the two-dimensional Ising model: computer-assisted exact results.
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."
authors.affiliation: Department of Physics, New Jersey Institute of Technology, Newark, NJ 07102, USA.
authors.forename: Vitaly A
authors.initials: VA
authors.lastname: Shneidman
authors.forename: Gelu M
authors.initials: GM
authors.lastname: Nita