Distributions of the Diffusion Coefficient for the Quantum and Classical Diffusion in Disordered Media
| dc.creator | Lerner, I. V. | |
| dc.date | 1994-02-05 | |
| dc.date.accessioned | 2026-07-07T03:07:06Z | |
| dc.date.available | 2026-07-07T03:07:06Z | |
| dc.description | 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. | |
| dc.description | REVTeX, 20 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9402028 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9402028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27053 | |
| dc.subject | Condensed Matter | |
| dc.title | Distributions of the Diffusion Coefficient for the Quantum and Classical Diffusion in Disordered Media | |
| dc.type | text |