Dresden 2009 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 6: Critical phenomena and phase transitions
DY 6.3: Vortrag
Montag, 23. März 2009, 15:15–15:30, ZEU 118
Multicanonical Monte Carlo study of the order-parameter distribution of the two-dimensional Ising model — •Anjan Prasad Gantapara1 and Rudolf Hilfer1,2 — 1Institute for Computational Physics, University of Stuttgart, 70569 Stuttgart, Germany — 2Institute for Physics, University of Mainz, 55099 Mainz, Germany
The exact order parameter distributions are computed for the two dimensional Ising Model with various boundary conditions for finite lattice sizes up to 256 at temperatures above, below, and at the critical point. All the results are fully converged with respect to the number of Monte Carlo steps. For critical systems the approach to the Gaussian behavior is generally slow. For large system sizes the fat tails observed in Ref [1] are found to appear also for temperatures approaching critical point from below. The effect of the boundary conditions at criticality in the far tail regime are studied with high precision. Our results provide benchmarks for numerical and analytical studies. This study suggest that the critical order parameter distribution must be considered to be unknown at present.
[1]Hilfer R, Biswal B, Mattutis H G, and Janke W Phys. Rev. E 68,046123 (2003).