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The Ising universality class in dimension three: Corrections to scaling
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2018 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 511, p. 40-53Article in journal (Refereed) Published
Abstract [en]

Simulation data are analyzed for four 3D spin-1/2 Ising models: on the FCC lattice, the BCC lattice, the SC lattice and the Diamond lattice. The observables studied are the susceptibility, the reduced second moment correlation length, and the normalized Binder cumulant. From measurements covering the entire paramagnetic temperature regime the corrections to scaling are estimated. We conclude that a correction term having an exponent which is consistent within the statistics with the bootstrap value of the universal subleading thermal confluent correction exponent, theta(2) similar to 2.454(3), is almost always present with a significant amplitude. In all four models, for the normalized Binder cumulant the leading confluent correction term has zero amplitude. This implies that the universal ratio of leading confluent correction amplitudes a(x4)/a(x) = 2 in the 3D Ising universality class.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 511, p. 40-53
Keywords [en]
3D Ising model, Scaling, Corrections to scaling
National Category
Other Physics Topics Condensed Matter Physics Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:umu:diva-152237DOI: 10.1016/j.physa.2018.06.087ISI: 000444667800004OAI: oai:DiVA.org:umu-152237DiVA, id: diva2:1253327
Available from: 2018-10-04 Created: 2018-10-04 Last updated: 2018-10-04Bibliographically approved

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Lundow, Per-Håkan

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Physica A: Statistical Mechanics and its Applications
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