Effect of random pinning on nonlinear dynamics and dissipation of a vortex driven by a strong microwave current

We report numerical simulations of a trapped elastic vortex driven by a strong ac magnetic field $H(t)=Hsin\ensuremath{\omega}t$ parallel to the surface of a superconducting film. The surface resistance and the power dissipated by an oscillating vortex perpendicular to the film surface were calculated as functions of $H$ and $\ensuremath{\omega}$ for different spatial distributions, densities, and strengths of pinning centers, including bulk pinning, surface pinning, and cluster pinning. Our simulations were performed for both the Bardeen-Stephen viscous vortex drag and the Larkin-Ovchinnikov (LO) drag coefficient $\ensuremath{\eta}(v)$ decreasing with the vortex velocity $v$. The local residual surface resistance ${R}_i(H)$ calculated for different statistical realizations of the pinning potential exhibits strong mesoscopic fluctuations caused by local depinning jumps of a vortex segment as $H$ increases, but the global surface resistance ${\overline{R}}_i(H)$ obtained by averaging ${R}_i(H)$ over different pin configurations increases smoothly with the field amplitude at small $H$ and levels off at higher fields. For strong pinning, the LO decrease of $\ensuremath{\eta}(v)$ with $v$ can result in a nonmonotonic field dependence of ${R}_i(H)$ which decreases with $H$ at higher fields, but cause a runaway instability of the vortex in a thick film for weak pinning. It is shown that overheating of a single moving vortex can produce the LO-like velocity dependence of $\ensuremath{\eta}(v)$, but can mask the decrease of the surface resistance with $H$ at a higher density of trapped vortices.