Europhys. Lett., 49 (5), p. 644 (2000)

Dynamic critical behaviors of three-dimensional
XY models related to superconductors/superfluids

L. M. Jensen - B. J. Kim - P. Minnhagen

Department of Theoretical Physics, Umeå University - 901 87 Umeå, Sweden

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.)

Abstract:

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.

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