Back to Search
Start Over
Distributions of the Diffusion Coefficient for the Quantum and Classical Diffusion in Disordered Media
- Publication Year :
- 1994
-
Abstract
- It is shown that the distribution functions of the diffusion coefficient are very similar in the standard model of quantum diffusion in a disordered metal and in a model of classical diffusion in a disordered medium: in both cases the distribution functions have lognormal tails, their part increasing with the increase of the disorder. The similarity is based on a similar behaviour of the high-gradient operators determining the high-order cumulants. The one-loop renormalization-group corrections make the anomalous dimension of the operator that governs the $s$-th cumulant proportional to $s(s-1)$ thus overtaking for large $s$ the negative normal dimension. As behaviour of the ensemble-averaged diffusion coefficient is quite different in these models, it suggests that a possible universality in the distribution functions is independent of the behaviour of average quantities.<br />REVTeX, 20 pages, no figures
- Subjects :
- Condensed Matter (cond-mat)
FOS: Physical sciences
Condensed Matter
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....e9b34d9cf649fb9c444c977e1f977df1