  The asymmetric simple exclusion process with random-force disorder is studied
within the mean field approximation. The stationary current through a domain
with reversed bias is analyzed and the results are found to be in accordance
with earlier intuitive assumptions. On the grounds of these results, a
phenomenological random barrier model is applied in order to describe
quantitatively the coarsening phenomena. Predictions of the theory are compared
with numerical results obtained by integrating the mean field evolution
equations.
