LOGARITHMIC CORRECTIONS AND FINITE-SIZE-SCALING IN THE 2-DIMENSIONAL 4-STATE POTTS-MODEL

Authors
SALAS J SOKAL AD
Citation
J. Salas et Ad. Sokal, LOGARITHMIC CORRECTIONS AND FINITE-SIZE-SCALING IN THE 2-DIMENSIONAL 4-STATE POTTS-MODEL, Journal of statistical physics, 88(3-4), 1997, pp. 567-615
Citations number
54
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
88
Issue
3-4
Year of publication
1997
Pages
567 - 615
Database
ISI
SICI code
0022-4715(1997)88:3-4<567:LCAFIT>2.0.ZU;2-M
Abstract
We analyze the scaling and finite-size-scaling behavior of the two-dim ensional 4-state Potts model. We find new multiplicative logarithmic c orrections for the susceptibility, in addition to the already known on es for the specific heat. We also find additive logarithmic correction s to scaling, some of which are universal. We have checked the theoret ical predictions at criticality and off criticality by means of high-p recision Monte Carlo data.