Stability of antipolar fluxons in an infinitely long Josephson junction with shunt loss, surface-impedance loss, and bias current

Abstract

Critical curves for the soliton-antisoliton annihilation on the infinitely long Josephson junction under the perturbation of bias current, shunt loss, and surface-impedance loss are 'obtained by means of the perturbation theory presented by McLaughlin and Scott. It is demonstrated that the presence of the surface-impedance loss severely reduces the stability of antipolar Auxons, especially when the shunt loss and bias current are small. The results are compared with experiment, and good agreement is found in most cases.

Spatio-Temporal Effects in a Perturbed Sine-Gordon System: a Long Josephson Junction

“…It is of importance to investigate analytically the chaotic behavior in this situation, as it has not been fully studied, to our knowledge; this is the objective of this work. Other authors working on this subject [9,10] have found numerically that as far as the chaotic behavior is concerned, there is not much change when a small is included in the equation. For relatively large ; the chaotic motion with term resembles that having a larger term (shunt loss) with ¼ 0: In a recent work, Ustinov and Malomed [11] report the experimental observation of ac driven phase-locked motion of a fluxon at a nonzero average velocity in periodically modulated LJJ.…”