Dresden 2006 – scientific programme
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DY: Dynamik und Statistische Physik
DY 40: Critical Phenomena and Phase Transitions I
DY 40.4: Talk
Thursday, March 30, 2006, 10:30–10:45, H\"UL 186
Critical Binder cumulant in two-dimensional Ising and Potts models — •Walter Selke1, Lev N. Shchur2, and Martin Holtschneider1 — 1Institut fuer Theoretische Physik, RWTH Aachen — 2L.D. Landau Institute for Theoretical Physics, Chernogolovka, Russia
The Binder cumulant is known to be a very interesting quantity to characterize phase transitions. We report new results, using Monte Carlo techniques, on the value of that cumulant at the critical point, in particular in square lattice Ising (see W. Selke and L.N. Shchur, J. Phys. A 38, L739-L744 (2005)) and Potts models. The role of anisotropy, boundary condition, aspect ratio, and of the order of the phase transition is emphasized. Universal and nonuniversal features as analyzed recently by X. S. Chen and V. Dohm (Phys. Rev. E 70, 0566136 (2004)) are discussed.