Dresden 2014 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 8: Critical Phenomena and Phase Transitions

DY 8.1: Vortrag

Montag, 31. März 2014, 15:00–15:15, ZEU 118

Corner contribution to cluster numbers in the Potts model — Istvan A. Kovacs¹, Eren M. Elçi², •Martin Weigel², and Ferenc Igloi¹ — ¹Wigner Research Centre, Institute for Solid State Physics and Optics, H-1525 Budapest, P.O.Box 49, Hungary — ²Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, England

For the two-dimensional Q-state Potts model at criticality, we consider Fortuin-Kasteleyn and spin clusters and study the average number N_Γ of clusters that intersect a given contour Γ. To leading order, N_Γ is proportional to the length of the curve. Additionally, however, there occur logarithmic contributions related to the corners of Γ. These are found to be universal and their size can be calculated employing techniques from conformal field theory. For the Fortuin-Kasteleyn clusters relevant to the thermal phase transition we find agreement with these predictions from large-scale numerical simulations. For the spin clusters, on the other hand, the cluster numbers are not found to be consistent with the values obtained by analytic continuation, as conventionally assumed.