Abstract
We derive a general effective-medium theory for describing biased diffusion on a bond-disordered lattice in the presence of an external driving field. In our theory, the effective medium associated with a disordered d-dimensional lattice is characterized, for each value of the applied field, by 2d independent parameters describing, respectively, the net drift velocity vv and the diffusion constant Dvv describing the spread of a carrier packet about its mean value, for each of the d crystal axes. The theory correctly predicts the velocity transition occurring in an exactly soluble model studied by Derrida and, in contrast to other recent theories, correctly reproduces the critical velocity at which this transition occurs.
Recommended Citation
P. E. Parris and B. D. Bookout, "Effective-Medium Theory for the Electric-Field Dependence of the Hopping Conductivity of Disordered Solids," Physical Review B (Condensed Matter), vol. 53, no. 2, pp. 629 - 635, American Physical Society (APS), Jan 1996.
The definitive version is available at https://doi.org/10.1103/PhysRevB.53.629
Department(s)
Physics
International Standard Serial Number (ISSN)
0163-1829
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 1996 American Physical Society (APS), All rights reserved.
Publication Date
01 Jan 1996
