Glassy dynamics of two-dimensional vortex glasses, charge-density waves, and surfaces of disordered crystals

The low-temperature phase of a model of pinned, two-dimensional flux lines is analytically shown to be glassy. Typical energy barriers L diverge as (lnL)1/2 as the length scale L. This implies a voltage-current relation of the form V=C1I exp{-C2[ln(I0/I)]1/2. The growth velocity VG of the surface of a disordered crystal is given by VG=c3 exp{-C4[ln(c/)]1/2}, where is the crystal-liquid chemical-potential difference. Similar results hold for 2D charge-density waves, if dislocations in the charge-density wave are ignored. © 1991 The American Physical Society.