Current-voltage characteristics of the two-dimensional XY model with Monte Carlo dynamics

Abstract

Current-voltage characteristics and the linear resistance of the two-dimensional XY model with and without external uniform current driving are studied by Monte Carlo simulations. We apply the standard finite-size scaling analysis to get the dynamic critical exponent $z$ at various temperatures. From the comparison with the resistively-shunted junction dynamics, it is concluded that $z$ is universal in the sense that it does not depend on details of dynamics. This comparison also leads to the quantification of the time in the Monte Carlo dynamic simulation.

arXiv comment5 pages in two columns including 5 figures, to appear in PRB

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Cited by in corpus (8)

• Dynamic critical behavior of the XY model in small-world networks
• Anomalous finite-size effect in superconducting Josephson junction arrays
• Evidence of Two Distinct Dynamic Critical Exponents in Connection with Vortex Physics
• Ubiquitous finite-size scaling features in IV characteristics of various dynamic XY models in two dimensions
• Relaxational dynamics study of the classical Heisenberg spin XY model in spherical coordinate representation
• Stochastic resonance in the two-dimensional q-state clock models
• Unconventional phonon-mediated superconductivity in MgB_{2}
• Scaling determination of the nonlinear I-V characteristics for 2D superconducting networks