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Space Stochastic Perturbations of a Sine-Gordon Soliton

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Disorder and Nonlinearity

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 39))

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Abstract

It is well known that (1+1) dimensional Sine-Gordon solitons represent structures with remarkable stability properties, and they can be used as models of “relativistic’ extended particles. In this context the study of the dynamics of the Sine-Gordon solitons under stochastic perturbations is of great interest [1,21. Such perturbations can simulate the interaction with a fluctuating external field or the modulation of the substrate potential barrier height as well as the effect of thermal noise or impurities.

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References

  1. P.J. Pascual and L. Vazquez, Phvs. Rev. B32. 8305 (1985).

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  3. M.J. Rodriguez and L. Vazquez : “Stability of solitary waves under stochastic perturbations : A numerical and perturbative approach”, in “Mathematics & Physics : Lectures on Recent Results”. Vol.3, ed. L. Streit (World Scientific, in press).

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  4. A. Sanchez and L. Vazquez : “Stationary stochastic configurations of the Sine-Gordon system under spatial white noise”, in preparation (1988).

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  5. G. Reinisch, J.C. Fernandez, N. Flytzanis, M. Taki and St. Pnevmatikos, Phys. Rev. B. in press (1988).

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  7. P.J. Pascual, L. Vazquez, St. Pnevmatikos and A.R. Bishop, in preparation, (1988).

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Author information

Authors and Affiliations

  1. Departamento de Fisica Teorica, Facultad de Ciencias Fisicas, Universidad Complutense, E-28040, Madrid, Spain

    P. J. Pascual & L. Vazquez

  2. Research Center of Crete, GR-711 10 Heraklio, P.O. Box 1527, Crete, Greece

    S. Pnevmatikos

  3. Los Alamos National Laboratory, CNLS, Los Alamos, 87545, NM, USA

    L. Vazquez, S. Pnevmatikos & A. R. Bishop

Authors
  1. P. J. Pascual
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  2. L. Vazquez
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  3. S. Pnevmatikos
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  4. A. R. Bishop
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Editor information

Editors and Affiliations

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

    Alan R. Bishop , David K. Campbell  & Stephanos Pnevmatikos ,  & 

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© 1989 Springer-Verlag Berlin Heidelberg

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Pascual, P.J., Vazquez, L., Pnevmatikos, S., Bishop, A.R. (1989). Space Stochastic Perturbations of a Sine-Gordon Soliton. In: Bishop, A.R., Campbell, D.K., Pnevmatikos, S. (eds) Disorder and Nonlinearity. Springer Proceedings in Physics, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74893-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-74893-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-74895-0

  • Online ISBN: 978-3-642-74893-6

  • eBook Packages: Springer Book Archive

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