Soliton propagation through a disordered system: statistics of the transmission delay
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Gredeskul, Sergey; Derevyanko, Stanislav A; Kovalev, Alexander; Prilepsky, Jaroslaw E
Description
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...[Show more]
dc.contributor.author | Gredeskul, Sergey | |
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dc.contributor.author | Derevyanko, Stanislav A | |
dc.contributor.author | Kovalev, Alexander | |
dc.contributor.author | Prilepsky, Jaroslaw E | |
dc.date.accessioned | 2015-12-10T22:29:03Z | |
dc.identifier.issn | 1539-3755 | |
dc.identifier.uri | http://hdl.handle.net/1885/54720 | |
dc.description.abstract | 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. | |
dc.publisher | American Physical Society | |
dc.source | Physical Review E-Statistical, Nonlinear and Soft Matter Physics | |
dc.subject | Keywords: Classical particle; Crossover length; Disordered system; Mean distances; Small concentration; Soliton propagation; Soliton transmission; Statistical characteristics; Transmission delays; Transmission time delay; Universal functions; Weak scattering; Proba | |
dc.title | Soliton propagation through a disordered system: statistics of the transmission delay | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 81 | |
dc.date.issued | 2010 | |
local.identifier.absfor | 020501 - Classical and Physical Optics | |
local.identifier.ariespublication | u9201385xPUB308 | |
local.type.status | Published Version | |
local.contributor.affiliation | Gredeskul, Sergey, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Derevyanko, Stanislav A, Aston University | |
local.contributor.affiliation | Kovalev, Alexander , National Academy of Sciences of Ukraine - NASU | |
local.contributor.affiliation | Prilepsky, Jaroslaw E, Aston University | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.issue | 036608 | |
local.bibliographicCitation.startpage | 14 | |
local.identifier.doi | 10.1103/PhysRevE.81.036608 | |
dc.date.updated | 2016-02-24T11:49:42Z | |
local.identifier.scopusID | 2-s2.0-77950443286 | |
Collections | ANU Research Publications |
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