Abstract
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.
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