Martin, PP and Zakaria, SF (2019) Zeros of the 3-state Potts model partition function for the square lattice revisited. Journal of Statistical Mechanics: Theory and Experiment, 2019. 084003. ISSN 1742-5468
Abstract
We compute the exact partition function for the 3-state Potts model on square lattices of several sizes larger than previously accessible. Making comparison with the exactly solved Ising model we show that, for aspects of the analytic structure close to the ferromagnetic transition point, these lattices are large enough to approach the thermodynamic limit. Subject to certain assumptions this allows for computation of estimates for the specific heat critical exponent. We thus obtain an estimate for this exponent. The estimate is consistent with the known result, thus demonstrating the potential use of this method for other models. We also discuss the antiferromagnetic transition.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 IOP Publishing Ltd and SISSA Medialab srl. This is an author produced version of a paper published in Journal of Statistical Mechanics: Theory and Experiment. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | classical phase transitions; critical exponents and amplitudes; exact results |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/I038683/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Aug 2019 10:15 |
Last Modified: | 28 Aug 2019 10:15 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1742-5468/ab2905 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:150068 |