Open AccessSTATIC CHARACTERISTICS OF CIRCULAR SYMMETRIC ANNULAR JOSEPHSON JUNCTION (Ⅱ)——THE STABILITY OF THE SOLUTIONS OF THE SELF-FIELD EQUATIONS
Author(s) -
Wei Wang,
X.X. Yao
Publication year - 1988
Publication title -
wuli xuebao
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.