%0 Journal Article %1 meng00 %A Jeng, Monwhea %D 2000 %J American Journal of Physics %K circuit effective.resistance network physics random.walk resistor %N 1 %P 37--40 %R 10.1119/1.19370 %T Random Walks and Effective Resistances on Toroidal and Cylindrical Grids %U http://scitation.aip.org/content/aapt/journal/ajp/68/1/10.1119/1.19370 %V 68 %X 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.

@article{meng00, 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.}, added-at = {2016-04-24T14:03:00.000+0200}, author = {Jeng, Monwhea}, biburl = {https://www.bibsonomy.org/bibtex/25972d8c0538a5ed328ac59a96e2b4733/ytyoun}, doi = {10.1119/1.19370}, eid = {37}, interhash = {095d883e41e0b6e6f4dc05f470cd9469}, intrahash = {5972d8c0538a5ed328ac59a96e2b4733}, journal = {American Journal of Physics}, keywords = {circuit effective.resistance network physics random.walk resistor}, number = 1, pages = {37--40}, timestamp = {2017-02-01T08:06:41.000+0100}, title = {Random Walks and Effective Resistances on Toroidal and Cylindrical Grids}, url = {http://scitation.aip.org/content/aapt/journal/ajp/68/1/10.1119/1.19370}, volume = 68, year = 2000 }