The Potts model

@article{citeulike:928328, abstract = {This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the essential and important properties of the standard Potts model. Emphasis is placed on exact and rigorous results; but other aspects of the problem are also described to achieve a unified perspective. Topics reviewed include the mean-field theory; duality relations; series expansions; critical properties; experimental realizations; and the relationship of the Potts model with other lattice-statistical problems.}, author = {Wu, F. Y.}, citeulike-article-id = {928328}, comment = {* connection to resistor networks (same guy as Theory of Two-point Resistance) * p.251 effective resistance comes out of limit of Potts partition function * p.18 Kirkhoff's result, 4.27/4.34 (evaluating resistance through spanning trees, also see Bapat/Gutman "A simple method") * resistance between two nodes in terms of ratio of partition function of Potts model * a way to evaluate the number of spanning trees (complete self-avoiding walks) for any lattice}, doi = {10.1103/RevModPhys.54.235}, journal = {Reviews of Modern Physics}, keywords = {ising, physics}, month = {January}, number = {1}, pages = {235+}, posted-at = {2007-11-28 23:44:34}, priority = {2}, publisher = {American Physical Society}, title = {The Potts model}, url = {http://dx.doi.org/10.1103/RevModPhys.54.235}, volume = {54}, year = {1982} }

TY - JOUR ID - citeulike:928328 L3 - citeulike-article-id:928328 N2 - This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the essential and important properties of the standard Potts model. Emphasis is placed on exact and rigorous results; but other aspects of the problem are also described to achieve a unified perspective. Topics reviewed include the mean-field theory; duality relations; series expansions; critical properties; experimental realizations; and the relationship of the Potts model with other lattice-statistical problems. IS - 1 JF - Reviews of Modern Physics TI - The Potts model PB - American Physical Society VL - 54 SP - 235 KW - ising KW - physics N1 - * connection to resistor networks (same guy as Theory of Two-point Resistance) * p.251 effective resistance comes out of limit of Potts partition function * p.18 Kirkhoff's result, 4.27/4.34 (evaluating resistance through spanning trees, also see Bapat/Gutman "A simple method") * resistance between two nodes in terms of ratio of partition function of Potts model * a way to evaluate the number of spanning trees (complete self-avoiding walks) for any lattice AU - Wu, FY PY - 1982/01// UR - http://dx.doi.org/10.1103/RevModPhys.54.235 ER -