Random Walks and Effective Resistances on Toroidal and Cylindrical Grids
Classical Physics
2009-11-10 v1
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.
Cite
@article{arxiv.physics/0405135,
title = {Random Walks and Effective Resistances on Toroidal and Cylindrical Grids},
author = {Monwhea Jeng},
journal= {arXiv preprint arXiv:physics/0405135},
year = {2009}
}
Comments
14 pages, 2 figures