Computation of the Ising partition function for two-dimensional square grids
2004 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 69, no 4Article in journal (Refereed) Published
An improved method for obtaining the Ising partition function of nxn square grids with periodic boundary is presented. Our method applies results from Galois theory in order to split the computation into smaller parts and at the same time avoid the use of numerics. Using this method we have computed the exact partition function for the (320x320) grid, the (256x256) grid, and the (160x160) grid, as well as for a number of smaller grids. We obtain scaling parameters and compare with what theory prescribes.
Place, publisher, year, edition, pages
2004. Vol. 69, no 4
IdentifiersURN: urn:nbn:se:kth:diva-23387DOI: 10.1103/PhysRevE.69.046104ISI: 000221253000014ScopusID: 2-s2.0-45849155714OAI: oai:DiVA.org:kth-23387DiVA: diva2:342085
QC 201005252010-08-102010-08-102011-10-26Bibliographically approved