Scaling properties of delay times in one-dimensional random media
Disordered Systems and Neural Networks
2009-06-08 v2
Abstract
The scaling properties of the inverse moments of Wigner delay times are investigated in finite one-dimensional (1D) random media with one channel attached to the boundary of the sample. We find that they follow a simple scaling law which is independent of the microscopic details of the random potential. Our theoretical considerations are confirmed numerically for systems as diverse as 1D disordered wires and optical lattices to microwave waveguides with correlated scatterers.
Keywords
Cite
@article{arxiv.0708.4353,
title = {Scaling properties of delay times in one-dimensional random media},
author = {Joshua D. Bodyfelt and J. A. Mendez-Bermudez and Andrey Chabanov and Tsampikos Kottos},
journal= {arXiv preprint arXiv:0708.4353},
year = {2009}
}
Comments
5 pages, 4 figures Submitted to Physical Review B Revision 2: 1) Theoretical curve fits added to Figures 1-4. 2) Scaling parameter <tau_inf^-1> added to inset of Figure 2. 3) Minor text changes to reflect referee comments. 4) Some extra refereces were added