期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 282, 期 -, 页码 16-26出版社
ELSEVIER
DOI: 10.1016/j.physd.2014.05.005
关键词
Josephson junction; Double sine-Gordon equation; Nonlocal Josephson electrodynamics; Josephson vortex; Embedded solitons
资金
- Russian Foundation for Basic Research [13-01-00199]
We study a model of Josephson layered structure which is characterized by two peculiarities: (i) superconducting layers are thin; (ii) the current-phase relation is non-sinusoidal and is described by two sine harmonics. The governing equation is a nonlocal generalization of double sine-Gordon (NDSG) equation. We argue that the dynamics of fluxons in the NDSG model is unusual. Specifically, we show that there exists a set of particular constant velocities (called sliding velocities) for non-radiating stationary fluxon propagation. In dynamics, the presence of this set results in quantization of fluxon velocities: in numerical experiments a traveling kink-like excitation radiates energy and slows down to one of these particular constant velocities, taking the shape of predicted 2 pi-kink. We conjecture that the set of these stationary velocities is infinite and present an asymptotic formula for them. (C) 2014 Elsevier B.V. All rights reserved.
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