Abstract
The most widely used model for the study of disordered systems is the percolation model [1], in which the only parameter is the concentration p. Percolation can be illustrated by a simple irreversible cluster-growth process, in which sites on an initially empty lattice are selected at random and then occupied. Nearest-neighbor sites are considered to be connected, forming clusters of varying sizes and geometries. The concentration increases with time, and above a critical concentration p c a cluster extends across the entire system. Its formation signals a geometric phase transition, and the region around p c can be analyzed for scaling behavior and critical exponents.
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© 1988 Springer-Verlag Berlin Heidelberg
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Anderson, S.R., Family, F. (1988). A New Model of Interactive Percolation. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed Matter Physics. Springer Proceedings in Physics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93400-1_26
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DOI: https://doi.org/10.1007/978-3-642-93400-1_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-93402-5
Online ISBN: 978-3-642-93400-1
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