Dynamic critical behaviors of three-dimensional XY models related to superconductors/superfluids
Department of Theoretical Physics, Umeå University -
901 87 Umeå, Sweden
Accepted: 9 December 1999
The dynamic critical exponent z is determined from numerical simulations for the three-dimensional XY model subject to two types of dynamics, i.e., relaxational dynamics and resistively shunted junction (RSJ) dynamics, as well as for two different treatments of the boundary, i.e., periodic boundary condition (PBC) and fluctuating twist boundary condition (FTBC). In case of relaxational dynamics, finite-size scaling at the critical temperature gives for PBC and 1.5 for FTBC, while for RSJ dynamics is obtained in both cases. The results are discussed in the context of superfluid/superconductors and vortex dynamics, and are compared with what has been found for other related models.
PACS: 74.40.+k – Fluctuations (noise, chaos, nonequilibrium superconductivity, localization, etc.) / 05.70.Jk – Critical point phenomena / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
© EDP Sciences, 2000