Perturbation analysis of fluxon dynamics

D. W. McLaughlin, A. C. Scott

Research output: Contribution to journalArticle

Abstract

A two-stage scheme is presented to study structural perturbations of the sine-Gordon equation. Although the method is based upon the inverse scattering transform, detailed knowledge of this technical apparatus is not necessary in order to effect the calculations. In the first stage, slow modulations of speeds and positions for the soliton components are computed. The radiation resulting from the acceleration of the solitons is then calculated as a first-order correction through an easily constructed radiative Green's function. The method is exemplified by using it to study several outstanding problems that arise in applications of the Josephson transmission line. In particular we consider: (i) the pinning of flux quanta by microshorts, (ii) the quantum flux shuttle, (iii) annihilation conditions for fluxon-antifluxon collisions, (iv) breather decay, and (v) radiation from a moving fluxon.

Original languageEnglish (US)
Pages (from-to)1652-1680
Number of pages29
JournalPhysical Review A
Volume18
Issue number4
DOIs
StatePublished - 1978

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solitary waves
perturbation
inverse scattering
radiation
transmission lines
Green's functions
modulation
collisions
decay

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Perturbation analysis of fluxon dynamics. / McLaughlin, D. W.; Scott, A. C.

In: Physical Review A, Vol. 18, No. 4, 1978, p. 1652-1680.

Research output: Contribution to journalArticle

McLaughlin, D. W. ; Scott, A. C. / Perturbation analysis of fluxon dynamics. In: Physical Review A. 1978 ; Vol. 18, No. 4. pp. 1652-1680.
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