Vortex diffusion in one-dimensional pinning potentials

The dynamics of the vortices in one-dimensional sinusoidally varying and logarithmic pinning potentials with thermal fluctuations are considered, and a simple model based on a single vortex description is introduced. For high T-c superconductors, the power-law behaviors for both voltage-current characteristics E-J and the current dependence of resistivity rho, and broadening in the temperature dependence of rho which are consistent with the experimental observations are obtained by the solution of the Langevin-type equation of motion.