Master-equation approach to shot noise in Josephson junctions

E. Ben-Jacob*, D. J. Bergman, B. J. Matkowsky, Z. Schuss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We model the normal resistance of a hysteretic Josephson junction by writing a master equation to describe the individual quasiparticle tunneling. We solve the master equation by a WKB method near the zero-voltage state and near the nonzero-voltage state. We find that near the zero-voltage state the solution is given by the Boltzmann distribution with second-order corrections while near the nonzero-voltage state we obtain a nonsymmetric, non-Boltzmann distribution of voltage fluctuations, similar to the results obtained in a previous discussion based on the Fokker-Planck equation.

Original languageEnglish (US)
Pages (from-to)1572-1581
Number of pages10
JournalPhysical Review B
Volume34
Issue number3
DOIs
StatePublished - 1986

ASJC Scopus subject areas

  • Condensed Matter Physics

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