DYNAMICS OF 2-DIMENSIONAL FRUSTRATED JOSEPHSON ARRAYS

We study two-dimensional frustrated arrays of Josephson junctions at nonzero voltage. There exists a family of traveling-wave solutions characterized by a constant spatial phase shift. All spatially periodic vortex configurations observed in numerical simulations are of this form, and can be parametrized in terms of this single phase shift. We present the analytical form of these solutions at high voltages (or high Josephson frequencies) and compute their I-V characteristics. We also report the numerical observation of relaxational fronts separating two regions with different phase shift and frequency. These fronts move in the direction of decreasing frequency (or voltage).