Random Walks and Effective Resistances on Toroidal and Cylindrical Grids

Details Random Walks and Effective Resistances on Toroidal and Cylindrical Grids Random Walks and Effective Resistances on Toroidal and Cylindrical Grids

2004-05-25

arxiv.org/abs/physics/0405135v1

Am. J. Phys. 68, 37-40 (2000)

Physics

Classical Physics

14 pages, 2 figures

Scientific paper

10.1119/1.19370

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.

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