Pulsed high current experiments in single crystals of the high-$T_{ c}$ superconductor Bi$_{ 2}$Sr$_{ 2}$CaCu$_{ 2}$O$_{ 8+\delta}$ in c-axis directed magnetic field $H$ reveal that the $ab$-face resistance in the free flux flow regime is a solely logarithmic function of H, devoid of any power law component. Re-analysis of published data confirms this result and leads to empirical analytic forms for the $ab$-plane and c-axis resistivities: $\rho_{ ab}\propto$ $H^{ 3/4}$, which does not obey the expected Bardeen-Stephen result for free flux flow, and $\rho_{ c} \propto H^{ -3/4} \log^{ 2}H$.
Categories: cond-mat.supr-con