  The dynamics of a glass transition is discussed in terms of the motion of a
particle in a one dimensional correlated random potential. An exact calculation
of the velocity $V$ under an applied force $f$ demonstrates a variety of
dynamic regimes depending on the range of correlations. In a gaussian potential
with correlator $C(x) = x^{\gamma}$, we find a transition from ohmic behaviour
($\gamma <0$) to creep motion $V \sim \exp(- const/f^{\mu} )$ ($0<\gamma <1$).
This provides a generic picture of the glass transition in systems where long
range correlations in the effective disorder develop due to elasticity such as
elastic manifolds subject to quenched disorder and the vortex glass transition
in superconductors.

Condensed Matter