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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.