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A Collective Coordinate Method for Classical Dynamics of Nonlinear Klein-Gordon Kinks

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Nonlinearity in Condensed Matter

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 69))

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Abstract

A collective coordinate method is used to study the motion of a nonlinear Klein-Gordon (NKG) kink [1] in the presence of a weak, localized perturbation. An equation of motion is derived for the kink “center of mass” position which includes the effects of phonons. A perturbation expansion of these equations shows that through second order, no extended phonons are generated by the “collision” of the kink with a static perturbation. As a consequence, the kink recovers its initial velocity after passing through the perturbation region.

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Author information

Authors and Affiliations

  1. Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    R. J. Flesch & S. E. Trullinger

  2. Department of Physics, University of Southern California, Los Angeles, CA, 90089, USA

    R. J. Flesch & S. E. Trullinger

  3. Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    B. Horovitz

Authors
  1. R. J. Flesch
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  2. S. E. Trullinger
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  3. B. Horovitz
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Editor information

Editors and Affiliations

  1. Center of Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA

    Alan R. Bishop , David K. Campbell , Pradeep Kumar  & Steven E. Trullinger , ,  & 

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© 1987 Springer-Verlag Berlin Heidelberg

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Flesch, R.J., Trullinger, S.E., Horovitz, B. (1987). A Collective Coordinate Method for Classical Dynamics of Nonlinear Klein-Gordon Kinks. In: Bishop, A.R., Campbell, D.K., Kumar, P., Trullinger, S.E. (eds) Nonlinearity in Condensed Matter. Springer Series in Solid-State Sciences, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83033-4_23

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  • DOI: https://doi.org/10.1007/978-3-642-83033-4_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83035-8

  • Online ISBN: 978-3-642-83033-4

  • eBook Packages: Springer Book Archive

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