Relaxation towards phase-locked dynamics in long Josephson junctions

M. Salerno, N. Gro/nbech-Jensen, and M. R. Samuelsen
Phys. Rev. B 51, 15613 – Published 1 June 1995

Abstract

We study the relaxation phenomenon towards phase-locked dynamics in long Josephson junctions. In particular the dependence of the relaxation frequency for the equal time of flight solution on the junction parameters is derived. The analysis is based on a phase-locked map and is compared with direct numerical experiments performed both on the map and on the perturbed sine-Gordon equation. As an interesting result we find that very close to a bifurcation the relaxation frequency is exactly equal to the half of the step frequency, i.e., the frequency characterizing the period-one solution.

  • Received 6 February 1995

DOI:https://doi.org/10.1103/PhysRevB.51.15613

©1995 American Physical Society

Authors & Affiliations

M. Salerno

  • Department of Theoretical Physics, University of Salerno, I84100 Salerno, Italy

N. Gro/nbech-Jensen

  • Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

M. R. Samuelsen

  • Physics Department, The Technical University of Denmark, DK2800 Lyngby, Denmark

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Vol. 51, Iss. 21 — 1 June 1995

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