We discuss thermal depinning of flux lines from single-line defects in
the presence of an external current J. Starting from Langevin dynamic
s the prefactor in the Arrhenius law for the escape rate R is derived.
From this, we show the existence of a sharp depinning temperature in
the limit J --> 0. Moreover, the effective activation energy and time
scale involved in magnetic relaxation for a sample with columnar defec
ts are calculated. The results allow a quantitative discussion of expe
riments in the strong-pinning limit.