Superfluxons in periodically inhomogeneous long Josephson junctions
- P. P. Shirshov Institute for Oceanology of the Union of Soviet Socialist Republics Academy of Sciences, 23 Krasikov Street, Moscow 117218, (Union of Soviet Socialist Republics)
Dynamics of a periodic array of fluxons in a dc-driven damped long Josephson junction with an installed periodic lattice of local inhomogeneities are investigated analytically by means of the perturbation theory. In the case when the array and the lattice are commensurable, the array as a whole remains in a pinned state unless the dc bias current density exceeds a certain critical value. It is demonstrated that, in the same time, stable defects in the form of a hole'' or surplus fluxon may propagate along the pinned array. In the long-wave approximation, an evolution equation (an elliptic sine-Gordon'' equation) for local deformations of the array is deduced. That equation supports exact kinklike solutions ( superfluxons'') which describe the defects mentioned. In the presence of dissipation and dc bias current (with the density smaller than critical), {ital I}-{ital V} characteristics of the junction corresponding to the motion of a superfluxon are found. The results obtained are in good agreement with results of recent numerical and physical experiments.
- OSTI ID:
- 6963181
- Journal Information:
- Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:4; ISSN 0163-1829; ISSN PRBMD
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EQUATIONS
FIELD EQUATIONS
HAMILTONIANS
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FLUX
MATHEMATICAL OPERATORS
PERTURBATION THEORY
QUANTUM OPERATORS
SINE-GORDON EQUATION
SUPERCONDUCTING JUNCTIONS