Soliton resonance in weak periodic fields

J. Geicke

doi:10.1103/PhysRevB.31.4021

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Soliton resonance in weak periodic fields

J. Geicke

Centro Técnico Aeroespacial, Instituto de Estudos Avançados, 12200 So José dos Campos, So Paulo, Brazil

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Phys. Rev. B 31, 4021 – Published 15 March, 1985

DOI: https://doi.org/10.1103/PhysRevB.31.4021

Abstract

The motion of a $φ^{4}$ kink in a weak external field F(t)= $f_{o}$ cos(ωt) is discussed. Owing to the resonance between the external force and the vacuum excitation a beat effect is expected in the oscillations of the kink around its average position, and this is observed in numerical experiments.

References (7)

J. Geicke, Phys. Rev. B 30, 3510 (1984).
J. Geicke (unpublished).
A. R. Bishop, J. A. Krumhansl and S. E. Trullinger, Physica D 1, 1 (1980).
G. Reinisch and J. C. Fernandez, Phys. Rev. B 24, 835 (1981).
G. Reinisch and J. C. Fernandez, Phys. Rev. B 25, 7352 (1982).
J. C. Fernandez, J. M. Gambaudo, S. Gauthier and G. Reinisch, Phys. Rev. Lett. 46, 753 (1981).
After submission of this article it has been found that to all orders of t only the translation mode is excited by a field of the form (2) [J. Geicke, Phys. Lett. 106 A, 350 (1984)].

[c1] J. Geicke, Phys. Rev. B 30, 3510 (1984).

[c2] J. Geicke (unpublished).

[c3] A. R. Bishop, J. A. Krumhansl and S. E. Trullinger, Physica D 1, 1 (1980).

[c4] G. Reinisch and J. C. Fernandez, Phys. Rev. B 24, 835 (1981).

[c5] G. Reinisch and J. C. Fernandez, Phys. Rev. B 25, 7352 (1982).

[c6] J. C. Fernandez, J. M. Gambaudo, S. Gauthier and G. Reinisch, Phys. Rev. Lett. 46, 753 (1981).

[c7] After submission of this article it has been found that to all orders of t only the translation mode is excited by a field of the form (2) [J. Geicke, Phys. Lett. 106 A, 350 (1984)].

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Soliton resonance in weak periodic fields

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References (7)

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