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Computation of the Ising partition function for two-dimensional square grids
KTH, Superseded Departments, Physics.ORCID iD: 0000-0002-2076-5911
KTH, Superseded Departments, Physics.
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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
Abstract [en]

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
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Physical Sciences
URN: urn:nbn:se:kth:diva-23387DOI: 10.1103/PhysRevE.69.046104ISI: 000221253000014ScopusID: 2-s2.0-45849155714OAI: diva2:342085
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-10-26Bibliographically approved

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Rosengren, AndersKundrotas, PetrasLundow, Per Håkan
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