Dynamical isoperimeter pattern in the square sine-Gordon system

E. Turlot, D. Esteve, C. Urbina, M. Devoret, R. Grauer, J. C. Fernandez, H. Politano, and G. Reinisch
Phys. Rev. B 42, 8418 – Published 1 November 1990
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Abstract

This paper shows by use of simple physical arguments the existence of a particular dynamical pattern in a—perturbed or not—two-dimensional sine-Gordon system. The stability of such modes is numerically checked. Their main topological invariant is the total length of the ±2π wave fronts entering as elementary kinklike patterns the constitution of the whole configuration. This is consistent with the conservation of energy in all situations considered in this paper.

  • Received 30 May 1990

DOI:https://doi.org/10.1103/PhysRevB.42.8418

©1990 American Physical Society

Authors & Affiliations

E. Turlot, D. Esteve, C. Urbina, and M. Devoret

  • Orme-des-Merisiers Département de Physique Générale, Service de Physique du Solide et de Résonance Magnetique, Centre d’Etudes Nucléaires de Saclay, 91191 Gif-sur-Yvette CEDEX, France

R. Grauer

  • Department of Mathematics, University of California of Santa Barbara, Santa Barbara, California 93106

J. C. Fernandez, H. Politano, and G. Reinisch

  • Equipe de Dynamique Nonlinéaire des Milieux Continus, Observatoire de la Cote d’Azur, Boîte Postale No. 139, F-06003 Nice CEDEX, France

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Issue

Vol. 42, Iss. 13 — 1 November 1990

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