Summary
Discreteness effects on the shape and on the velocity of the sine-Gordon kink are studied by using a perturbation formalism. The results show a damping of the kink motion and a shape shrinking in agreement with a previous simulational analysis.
Riassunto
Mediante una tecnica di tipo perturbativo si analizzano gli effetti di «discreteness» sulla forma e sulla velocità del kink della teoria di sine-Gordon. I risultati mostrano uno smorzamento del moto del kink e una contrazione della sua forma in accordo con quanto risulta da tecniche di simulazione numerica.
Резюме
Используя пертурбационный формализм, исследуется влияние дискретности на форму и скорость «узла» в теории сайн-Гордона. Результаты показывают затухание движения «узла» и сжатие формы, что согласуется с предыдущим численным моделированием.
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References
R. Schneider andE. Stoll:Phys. Rev. B,22, 5317 (1980);J. A. Krumhansl andJ. R. Schrieffer:Phys. Rev. B,11, 3535 (1980);J. F. Currie, J. A. Krumhansl, A. R. Bishop andS. E. Trullinger:Phys. Rev. B,22, 477 (1980).
J. F. Currie:Phys. Rev. A,16, 1692 (1977). See also the review paperA. R. Bishop, J. A. Krumhansl, andS. E. Trullinger:Physica (Utrecht) D,1, 1 (1980), and references therein.
J. F. Currie, S. E. Trullinger, A. R. Bishop andJ. A. Krumhansl:Phys. Rev. B,15, 5567 (1977).
S. E. Trullinger andK. Sasaki:Phys. Rev. B (to appear).
R. M. De Leonardis andS. E. Trullinger:Phys. Rev. B,22, 4558 (1980).
See, for example, the review paper of ref. (2).
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De Lillo, S. Discreteness effects on sine-Gordon solitons. Nuov Cim B 100, 105–120 (1987). https://doi.org/10.1007/BF02829779
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DOI: https://doi.org/10.1007/BF02829779