Soliton annihilation in the perturbed sine-Gordon system

Niels Falsig Pedersen, Mogens Rugholm Samuelsen, D. Welner

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Abstract

Fluxon-antifluxon annihilation in the perturbed sine-Gordon equation with loss and driving terms is investigated. For the infinite line we find a simple analytic expression for the threshold driving term corresponding to annihilation. With the application of the results to a Josephson junction of finite length an expression for the current voltage characteristic of a zero-field step is derived. The analytical results are in good agreement with numerical simulations. The method is extendable to other systems.
Original languageEnglish
JournalPhysical Review B
Volume30
Issue number7
Pages (from-to)4057-4059
ISSN2469-9950
DOIs
Publication statusPublished - 1984

Bibliographical note

Copyright (1984) by the American Physical Society.

Cite this

Pedersen, N. F., Samuelsen, M. R., & Welner, D. (1984). Soliton annihilation in the perturbed sine-Gordon system. Physical Review B, 30(7), 4057-4059. https://doi.org/10.1103/PhysRevB.30.4057