STATIC CHARACTERISTICS OF CIRCULAR SYMMETRIC ANNULAR JOSEPHSON JUNCTION (Ⅱ)——THE STABILITY OF THE SOLUTIONS OF THE SELF-FIELD EQUATIONS | Zendy

Wei Wang | Zendy; YAO XI-XIAN | Zendy

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STATIC CHARACTERISTICS OF CIRCULAR SYMMETRIC ANNULAR JOSEPHSON JUNCTION (Ⅱ)——THE STABILITY OF THE SOLUTIONS OF THE SELF-FIELD EQUATIONS

Author(s) -

Wei Wang,

YAO XI-XIAN

Publication year - 1988

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.37.714

Subject(s) - josephson effect , eigenvalues and eigenvectors , metastability , stability (learning theory) , physics , phase (matter) , order (exchange) , characteristic equation , field (mathematics) , condensed matter physics , mathematical analysis , mathematics , quantum mechanics , superconductivity , differential equation , pure mathematics , machine learning , computer science , finance , economics

The stability of the solutions of the self-field equations for the circular symmetric annular Josephson junctions is analyzed in this paper. The stability of the solutions is determined by the signs of the second-order variation of the free energy with respect to the variation of the phase difference in the junctions. This criterion can then be tranformed to a eigenvalue problem. The solutions may be stable, nonstable, or metastable for a given bias current.

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