Driven Diffusion in the Two-Dimensional Lattice Coulomb Gas; A Model for Flux Flow in Superconducting Networks

We carry out driven diffusion Monte Carlo simulations of the two dimensional classical lattice Coulomb gas in an applied uniform electric field, as a model for vortex motion due to an applied d.c. current, in a periodic superconducting network. A finite-size version of dynamic scaling is used to extract the dynamic critical exponent z, and infer the non-linear response at the transition temperature. We consider the f=0 and f=1/2 cases, corresponding to no applied magnetic field, and to one half flux quantum per unit cell of the network respectively.