Mesoscopic Fluctuations in Models of Classical and Quantum Diffusion

Details Mesoscopic Fluctuations in Models of Classical and Quantum Diffusion Mesoscopic Fluctuations in Models of Classical and Quantum Diffusion

1994-11-24

arxiv.org/abs/cond-mat/9411102v1

NATO ASI Series E:291 1995 51

Physics

Condensed Matter

17 pages, REVTeX, no figures, to be published in NATO ASI series

Scientific paper

It is shown that the characteristics of the mesoscopic fluctuations in the conventional quantum-diffusion model and the model of the non-coherent (`classical') diffusion in media with long-range correlated disorder are quite similar in the weak-disorder limit. The relative values of the variance and of the high-order moments of the fluctuations in one model are obtained from those in another one by substituting a proper weak-disorder parameter. As behaviour of the ensemble-averaged diffusion coefficient is quite different in these models, it suggests that the mesoscopic properties, including a possible universality in the distribution functions, could be independent of the behaviour of the averaged quantities.

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