Percolation of finite-sized objects on a lattice

Details Percolation of finite-sized objects on a lattice Percolation of finite-sized objects on a lattice

1998-06-06

arxiv.org/abs/cond-mat/9806086v1

Physical Review E 57, 1269 (1998)

Physics

Condensed Matter

Statistical Mechanics

6 pages double column LaTeX file for text, 3 Postscript files for figures

Scientific paper

10.1103/PhysRevE.57.1269

We study the percolation of FINITE-SIZED objects on two- and three-dimensional lattices. Our motivation stems, on one hand from some recent interesting experimental results on transport properties of impurity-doped oxide perovskites and on the other hand from the theoretical appeal that this problem presents. Our system exhibits a well-defined percolation threshold. We estimate the size of magnetic polarons, believed to be the carriers of the abovementioned transport. We have also obtained two critical exponents for our model, which characterize its universality class.

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