  We analyze one-dimensional motion of an overdamped classical particle in the
presence of external disorder potential and an arbitrary driving force F. In
thermodynamical limit the effective force-dependent mobility mu(F) is
self-averaging, although the required system size may be exponentially large
for strong disorder. We calculate the mobility mu(F) exactly, generalizing the
known results in linear response (weak driving force) and the perturbation
theory in powers of the disorder amplitude. For a strong disorder potential
with power-law correlations we identify a non-linear regime with a prominent
power-law dependence of the logarithm of mu(F) on the driving force.
