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Dynamics of Sine-Gordon Soliton Interactions with Impurities

  • Conference paper
Nonlinearity with Disorder

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 67))

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Abstract

Molecular dynamics simulations of the sine-Gordon system containing static impurities are described. A pictorial device which serves as a “soliton detector” shows that the impurities can reflect solitons and breathers, dynamically trap and release them, and cause sufficiently large local distortions to produce trapped solitons. These effects of the impurities are exhibited in the dynamical scattering functions as a very sharp static “central peak” superimposed on the dynamical central peaks produced by soliton and breather propagation.

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References

  1. W. C. Kerr, D. Baeriswyl, and A. R. Bishop, Phys. Rev. B 24, 6566–6578 (1981).

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  6. T. Riste, E. J. Samuelson, K. Otnes, and J. Feder, Solid State Commun. 9, 1455 (1971); S. M. Shapiro, J. D. Axe, G. Shirane, and T. Riste, Phys. Rev. B 6, 4332 (1971); see also the review by A. D. Bruce and R. A. Cowley, Adv. in Phys. 29, 219 (1980).

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Author information

Authors and Affiliations

  1. Olin Physical Laboratory, Wake Forest University, Winston-Salem, NC, 27109-7507, USA

    W. C. Kerr

  2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    A. R. Bishop

  3. Department of Mathematics and Computer Science, Winston-Salem State University, Winston-Salem, NC, 27110, USA

    S. N. Kerr

Authors
  1. W. C. Kerr
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  2. A. R. Bishop
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  3. S. N. Kerr
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Editor information

Editors and Affiliations

  1. Thermal Physics Department, Uzbek Academy of Sciences, Tashkent-135, Katartal Str. 28, Chilanzar, Uzbekistan

    Fatkulla Abdullaev

  2. Los Alamos National Laboratories, 87545, Los Alamos, NM, USA

    Alan R. Bishop

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© 1992 Springer-Verlag Berlin Heidelberg

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Kerr, W.C., Bishop, A.R., Kerr, S.N. (1992). Dynamics of Sine-Gordon Soliton Interactions with Impurities. In: Abdullaev, F., Bishop, A.R., Pnevmatikos, S. (eds) Nonlinearity with Disorder. Springer Proceedings in Physics, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84774-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-84774-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84776-9

  • Online ISBN: 978-3-642-84774-5

  • eBook Packages: Springer Book Archive

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