Bardeen-Stephen flux flow law disobeyed in the high-\(T_c\) superconductor Bi\(_{2}\)Sr\(_{2}\)CaCu\(_{2}\)O\(_{8+\delta}\)

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 \(\rho_{c} \propto H^{-3/4} \log^{2}H\).