Soliton propagation through a disordered system:statistics of the transmission delay


We have studied the soliton propagation through a segment containing random pointlike scatterers. In the limit of small concentration of scatterers when the mean distance between the scatterers is larger than the soliton width, a method has been developed for obtaining the statistical characteristics of the soliton transmission through the segment. The method is applicable for any classical particle traversing through a disordered segment with the given velocity transformation after each act of scattering. In the case of weak scattering and relatively short disordered segment the transmission time delay of a fast soliton is mostly determined by the shifts of the soliton center after each act of scattering. For sufficiently long segments the main contribution to the delay is due to the shifts of the amplitude and velocity of a fast soliton after each scatterer. Corresponding crossover lengths for both cases of light and heavy solitons have been obtained. We have also calculated the exact probability density function of the soliton transmission time delay for a sufficiently long segment. In the case of weak identical scatterers the latter is a universal function which depends on a sole parameter—the mean number of scatterers in a segment.

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Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: ©2010 American Physical Society. Soliton propagation through a disordered system: Statistics of the transmission delay. Sergey A. Gredeskul, Stanislav A. Derevyanko, Alexander S. Kovalev, and Jaroslaw E. Prilepsky Phys. Rev. E 81, 036608 – Published 30 March 2010
Uncontrolled Keywords: soliton propagation,random pointlike scatterers,soliton transmission,Statistics and Probability,Condensed Matter Physics,Statistical and Nonlinear Physics
Publication ISSN: 1550-2376
Last Modified: 03 Jan 2024 17:07
Date Deposited: 23 Apr 2012 12:41
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://link.aps ... sRevE.81.036608 (Publisher URL)
PURE Output Type: Article
Published Date: 2010-03-30
Authors: Gredeskul, Sergey A.
Derevyanko, Stanislav
Kovalev, Alexander S.
Prilepsky, Jaroslaw E. (ORCID Profile 0000-0002-3035-4112)



Version: Accepted Version

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