Percolation of the Minority Spins in High-Dimensional Ising Models

نویسنده

  • M. Aizenman
چکیده

We present some results on the shape and size of the percolative region of the nearest neighbor ferromagnetic Ising model on yd. The percolat ion properties of the connected clusters of (say) the + spins in equilibrium states of these models have been studied because of interest in the properties of correlated percolat ion (see Refs. 1 and 2) and because of some questions related to the ferromagnetic phase transition. The system's parameters are defined here so that

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تاریخ انتشار 2004