The scaling window of the 5D Ising model with free boundary conditions
2016 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 911, 163-172 p.Article in journal (Refereed) Published
The five-dimensional Ising model with free boundary conditions has recently received a renewed interest in a debate concerning the finite-size scaling of the susceptibility near the critical temperature. We provide evidence in favour of the conventional scaling picture, where the susceptibility scales as L-2 inside a critical scaling window of width 1/L-2. Our results are based on Monte Carlo data gathered on system sizes up to L = 79(ca. three billion spins) for a wide range of temperatures near the critical point. We analyse the magnetisation distribution, the susceptibility and also the scaling and distribution of the size of the Fortuin-Kasteleyn cluster containing the origin. The probability of this cluster reaching the boundary determines the correlation length, and its behaviour agrees with the mean field critical exponent delta = 3, that the scaling window has width 1/L-2.
Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 911, 163-172 p.
Atom and Molecular Physics and Optics Probability Theory and Statistics
IdentifiersURN: urn:nbn:se:umu:diva-127239DOI: 10.1016/j.nuclphysb.2016.08.003ISI: 000384565800007OAI: oai:DiVA.org:umu-127239DiVA: diva2:1046640