Fluxon trapping by inhomogeneities in long Josephson junctions

  • Tassos Bountis
  • Stephanos Pnevmatikos
  • Stavros Protogerakis
  • George Sohos
Part III. Nonlinear Wave Propagation: Numerical and Theoretical Studies
Part of the Lecture Notes in Physics book series (LNP, volume 353)


Following the approach of collective coordinates for the location X(t), and speed U(t), of a fluxon travelling in a long Josephson junction (LJJ), we show that the conditions of fluxon trapping by an array of N point-like inhomogeneities are determined by the relative location of the separatrices of N unstable fixed points in the U,X phase plane. In the particular case of experimental interest in which the inhomogeneities are “microresistors” , we find specific parameter values and initial conditions such that each “microresistor” will trap one fluxon thus turning the LJJ into a quantum flux ‘shuttle’. We also solve for the same parameter values, the corresponding PDE numerically and verify the validity of the results obtained by the ODE's of the collective coordinate approach.


Invariant Manifold Josephson Junction Quantum Flux Stable Fixed Point Experimental Interest 
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Tassos Bountis
    • 1
  • Stephanos Pnevmatikos
    • 2
  • Stavros Protogerakis
    • 3
  • George Sohos
    • 1
  1. 1.Department of MathematicsUniversity of PatrasPatrasGreece
  2. 2.Research Center of CreteCreteGreece
  3. 3.Physics Depart.University of CreteCreteGreece

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