Numerical constants for isolated vortices in superconductors

For isolated vortex lines in high-$\kappa$, type-II superconductors, Abrikosov derived the expressions $B\left(0\right)={\kappa }^{-2}(\ln \kappa +C_0)H_{c2}$ and $H_{c1}=\frac{1}{2}{\kappa }^{-2}(\ln \kappa +C_1)H_{c2}$, but the numerical values he provided for the constants C₀ and C₁ were previously found to violate an identity $C_1-C_0-\frac{1}{2}=C_{\gamma }>0$. The constants are reevaluated, giving C₀=-0.282, C₁=0.497, $C_{\gamma }=0.279$. Furthermore, for superconductors containing a high concentration of magnetic impurities, it was previously shown that the electric field generated at the center of an isolated vortex in flux-flow situations is proportional to $H_{c2}$ and the flux-flow velocity v. The proportionality constant $C_E$ in the high-$\kappa$ limit is numerically evaluated here to be 0.951, which, together with the value for $C_{\gamma }$, determines the flux-flow resistivity ${\rho }_f=0.381{\rho }_n\frac{〈B〉}{H_{c2}}$ in the low-applied-field limit when vortices are very far apart.