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Self-organized percolation in multi-layered structures

We present a self-organized model for the growth of two- and three-dimensional percolation clusters in multi-layered structures. Anisotropy in the medium is modeled by randomly allocating layers of different physical properties. A controlling mechanism for the growing aggregate perimeter is introduced in such a manner that the system self-tunes to a stationary regime that corresponds to the percolation threshold. The critical probability for infinite growth is studied as a function of the anisotropy of the medium.