Relaxation towards phase-locked dynamics in long Josephson junctions
M. Salerno, N. Gro/nbech-Jensen, M. R. Samuelsen
DOI 10.1103/PhysRevB.51.15613 · Physical Review B
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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.
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