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A new efficient algorithm for determining the energy barrier to overturn a finite cluster of ferromagnetic Ising spin is described Percolation clusters at threshold are used to illustrate our method We show in particular that the energy barrier scales logarithmically with the cluster size in contrast with the known power law behaviour on Euclidean lattices. Some of the consequences of this result for the kinetic Ising model on diluted ferromagnets are briefly discussed.
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Rammal et al. (1985) studied this question.
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