Stretched-exponential relaxation behavior observed in a one-dimensional model of pinned charge-density waves is shown to arise from anomalous deterministic diffusion confined to a closed portion of phase space. Simulation results and scaling arguments are used to relate the index of the stretched exponential to the mean-field value of the anomalous-random-walk exponent on directed percolation clusters.

• Received 11 January 1990

DOI:https://doi.org/10.1103/PhysRevB.41.11522