Abstract
Classical transport coefficients in a -dimensional medium with a potential and/or conductivity are found to vary discontinuously as functions of the "wavelengths" of the inhomogeneities. For example, with a potential depending on one direction only, say , the effective diffusion coefficient has the same value for all irrational , but differs from and depends on for rational. Thus is discontinuous at rational . Moreover, is continuous at irrational . This pathology is reflected in the time scales on which the diffusion approaches its limiting behavior.
- Received 22 July 1985
DOI:https://doi.org/10.1103/PhysRevLett.55.2629
©1985 American Physical Society