Characteristics of two-dimensional vortex dynamics from XY-type models with Ginzburg-Landau dynamics

The characteristic features of vortex dynamics corresponding to two-dimensional XY-type models with Ginzburg-Landau dynamics an extracted from simulations. The cases covered are with and without frustration, as well as above and below the Kosterlitz-Thouless transition. Most of the results are very well described by a phenomenological response function. The dependence of the characteristic frequency for this response function on the vortex density, frustration, correlation length, and temperature is obtained. A critical behavior for vortex dynamics at the Kosterlitz-Thouless transition is suggested by the simulations. The agreements with experiments and other simulations are discussed.