Critical behavior in a model of correlated percolation |
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Authors: | A Patrascioiu E Seiler |
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Institution: | (1) Physics Department and Center for the Study of Complex Systems, University of Arizona, 85721 Tucson, Arizona;(2) Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Munich, Germany |
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Abstract: | We study the critical behavior of certain two-parameter families of correlated percolation models related to the Ising model on the triangular and square lattices, respectively. These percolation models can be considered as interpolating between the percolation model given by the + and – clusters and the Fortuin-Kasteleyn correlated percolation model associated to the Ising model. We find numerically on both lattices a two-dimensional critical region in which the expected cluster size diverges, yet there is no percolation. |
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Keywords: | Percolation Ising model |
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