We calculate the Aslamazov-Larkin term of the conductivity in the presence of
a magnetic field applied along the c-axis from the time-dependent
Ginzburg-Landau equation perturbatively using two approaches. In the first a
uniform electric field is explicitly applied; in the second the Kubo formula is
used to extract the linear response. The former yields a version of the
flux-flow formula for the uniform ab-plane conductivity, sigma_{xx}(k=0), that
holds to all orders of perturbation theory. Obtaining the same result from the
Kubo formula requires considerable cancellation of terms. We also use the Kubo
calculation to examine the nonlocal ab-plane conductivity, sigma_{xx}( k \neq
0) (where the cancellations no longer occur), as well as the nonlocal c-axis
conductivity sigma_{zz}( k \neq 0), and look for the perturbative precursors of
the growing viscous length scales. In addition, we consider the effects of weak
disorder -- both uncorrelated (point defects) and correlated (columnar and
planar defects).Comment: 20 pages, 7 figures, Revtex, to be published in PR