CREEP IN ONE-DIMENSION AND PHENOMENOLOGICAL THEORY OF GLASS DYNAMICS

The dynamics of a glass transition is discussed in terms of the motion of a particle in a one-dimensional correlated random potential. An ex act calculation of the velocity V under an applied force f demonstrate s a variety of dynamic regimes depending on the range of correlations. In a gaussian potential with correlator C(x) = x(gamma) we find a tra nsition from ohmic behavior (gamma < 0) to creep motion V similar to e xp(- const/f(mu)) (0 < gamma < 1). This provides a generic picture of the glass transition in systems where long-range correlations in the e ffective disorder develop due to elasticity such as elastic manifolds subject to quenched disorder and the vortex-glass transition in superc onductors.