Conductivity for one-dimensional disordered classical systems: a computer simulation
- 21 December 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (18) , 3583-3591
- https://doi.org/10.1088/0305-4470/17/18/026
Abstract
A simple computer simulation for one-dimensional, classical, disordered systems with symmetric hopping rates is presented, which is well suited for vectorised programming. The data for the frequency-dependent conductivity are compared to analytical results for various classes of distributions of the transfer rates. In particular, for singular distributions of the form rho (W) approximately W- alpha , 0<or=W<or=1, it is demonstrated that the well known effective medium theory is an excellent approximation for -1<or= alpha <or=0.9.Keywords
This publication has 16 references indexed in Scilit:
- Frequency dependent conductivity for asymmetric hopping in one dimensionZeitschrift für Physik B Condensed Matter, 1984
- Low-frequency conductivity of one-dimensional disordered systemsPhysical Review B, 1984
- Exact results for diffusion on a disordered chainJournal of Physics C: Solid State Physics, 1983
- Frequency dependence of the conductivity in presence of an electric field in one dimension: Weak-disorder limitPhysical Review B, 1983
- Frequency-dependent charge transport in a one-dimensional disordered metalPhysical Review B, 1981
- Excitation dynamics in random one-dimensional systemsReviews of Modern Physics, 1981
- Diffusion and hopping conductivity in disordered one-dimensional lattice systemsZeitschrift für Physik B Condensed Matter, 1980
- Some comments on hopping in random one-dimensional systemsPhysical Review B, 1980
- Anomalous Frequency-Dependent Conductivity in Disordered One-Dimensional SystemsPhysical Review Letters, 1979
- Low-energy density of states and long-time behaviour of random chanins: a scaling approachJournal of Physics C: Solid State Physics, 1979