Averaged equations for Josephson junction series arrays

Kurt Wiesenfeld, James W Swift

Research output: Contribution to journalArticle

96 Citations (Scopus)

Abstract

We derive the averaged equations describing a series array of Josephson junctions shunted by a parallel inductor-resistor-capacitor load. We assume that the junctions have negligible capacitance (β=0), and derive averaged equations that turn out to be completely tractable: in particular, the stability of both in-phase and splay states depends on a single parameter, δ. We find an explicit expression for δ in terms of the load parameters and the bias current. We recover (and refine) a common claim found in the technical literature, that the in-phase state is stable for inductive loads and unstable for capacitive loads.

Original languageEnglish (US)
Pages (from-to)1020-1025
Number of pages6
JournalPhysical Review E
Volume51
Issue number2
DOIs
StatePublished - 1995

Fingerprint

Josephson Junction
Josephson junctions
Series
inductors
Capacitance
Capacitor
resistors
capacitors
capacitance
Unstable

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Averaged equations for Josephson junction series arrays. / Wiesenfeld, Kurt; Swift, James W.

In: Physical Review E, Vol. 51, No. 2, 1995, p. 1020-1025.

Research output: Contribution to journalArticle

Wiesenfeld, Kurt ; Swift, James W. / Averaged equations for Josephson junction series arrays. In: Physical Review E. 1995 ; Vol. 51, No. 2. pp. 1020-1025.
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