Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 20: Phase Transitions and Critical Phenomena I
DY 20.4: Vortrag
Mittwoch, 24. März 2010, 15:15–15:30, H47
Flat histogram Monte Carlo study of the order parameter distribution — •Anjan Prasad Gantapara1, Wolfhard Janke2, and Rudolf Hilfer1,3 — 1Institute for Computational Physics, University of Stuttgart, 70569 Stuttgart, Germany — 2Institute for Theoretical Physics, University of Leipzig, D-04009 Leipzig, Germany — 3Institute for Physics, University of Mainz, 55099 Mainz, Germany
The order parameter distribution of the two dimensional Ising model is studied using a flat histogram Monte Carlo method. Periodic, free and fixed boundary conditions are considered in our simulations. The effect of the boundary conditions on the order parameter distribution is studied at temperatures below, above, and at the critical point. These finite lattice size simulations corroborate some theoretically predicted results [1,2]. The accuracy of the Monte Carlo results is discussed by comparing them with exactly enumerated values for small lattice sizes.
R. Hilfer and N. B. Wilding,
Journal of Physics A: Mathematical and General 28, L281 (1995).
S. Shlosman,
Communications in Mathematical Physics 125, 81 (1989).