Josephson-junction ladder: A benchmark for nonlinear concepts
type: Item
instance of: scholarly article
title: Josephson-junction ladder: A benchmark for nonlinear concepts
zbMATH Open document ID: 0956.78006
DOI: 10.1016/S0167-2789(97)00294-7
author: Yanyan Li
published in: Physica D
publication date: 2000-02-08T00:00:00Z
review text: The theoretical analysis of the ground state properties and dissipative dynamics of an anisotropic ladder of Josephson junctions has revealed interesting features associated to the nonlinear character of the Josephson effect, combined with the inherent discreteness of the system and the peculiarities of the ladder geometry. We analyse some aspects of its underdamped dynamics when spatially homogeneous time-periodic currents are injected into the islands, and predict the existence of attracting time-periodic spatially localised modes, for some ranges of junction characteristic parameters. These elementary dynamical excitations are of two different types, associated to oscillatory and rotating motion of a few superconducting island phases, respectively, revealing a dynamical mechanism of creation of vortex-antivortex pairs. These results are physical applications of recent advances in the theory of nonlinear dynamics of discrete macroscopic systems. Their experimental confirmation would probe the physical relevance of localisation in superconducting devices.
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 37N20
zbMATH DE Number: 1397916
zbMATH Keywords: ground state
zbMATH Keywords: dissipative dynamics
zbMATH Keywords: anisotropic ladder
zbMATH Keywords: Josephson junctions
zbMATH Keywords: underdamped dynamics
zbMATH Keywords: nonlinear dynamics of discrete macroscopic systems
MaRDI profile type: Publication
cites work: Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978
cites work: Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation
cites work: Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
cites work: Anti-integrability in dynamical and variational problems
cites work: Recent progress and outstanding problems in Hamiltonian dynamics
cites work: Breathers in nonlinear lattices: existence, linear stability and quantization
cites work: Nonlinear modes in coupled rotator models
full work available at URL: s0167-2789(97)00294-7
OpenAlex ID: W2169489731
Wikidata QID: Q127740746
description: scientific article; zbMATH DE number 1397916