Random Walks and Effective Resistances on Toroidal and Cylindrical Grids
arXiv:physics/0405135 · doi:10.1119/1.19370
Abstract
A mapping between random walk problems and resistor network problems is described and used to calculate the effective resistance between any two nodes on an infinite two-dimensional square lattice of unit resistors. The superposition principle is then used to find effective resistances on toroidal and cylindrical square lattices.
14 pages, 2 figures
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