Session LC42 - Phase Transitions and Critical Phenomena.
ORAL session, Tuesday afternoon, March 23
Knollwood Room A, Omni Hotel
The 3D XY model with spin interaction of the Villain type is studied by means of extensive Monte Carlo simulations. The critical behavior is extracted by finite size scaling analysis with corrections to scaling of the fourth-order cumulant for system sizes 8^3 through 64^3. The benefit from the study is twofold. First, a systematic way to perform this kind of analyses is suggested. This includes ideas on how to decide which data should be used in the attempted data collapse. Second, the critical temperature as well as the universal values for the exponents and the fourth-order cumulant at criticality are obtained with high precision.