Truncated Levy statistics for transport in disordered semiconductors
Disordered Systems and Neural Networks
2015-05-19 v1
Abstract
Probabilistic interpretation of transition from the dispersive transport regime to the quasi-Gaussian one in disordered semiconductors is given in terms of truncated Levy distributions. Corresponding transport equations with fractional order derivatives are derived. We discuss physical causes leading to truncated waiting time distributions in the process and describe influence of truncation on carrier packet form, transient current curves and frequency dependence of conductivity. Theoretical results are in a good agreement with experimental facts.
Cite
@article{arxiv.1008.3969,
title = {Truncated Levy statistics for transport in disordered semiconductors},
author = {Renat T. Sibatov and Vladimir V. Uchaikin},
journal= {arXiv preprint arXiv:1008.3969},
year = {2015}
}
Comments
6 pages, 4 figures, presented in "Nonlinear Science and Complexity - 2010" (Turkey, Ankara)