Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction

doi:https://doi.org/10.1103/PhysRevE.48.77

Title: Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction

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Abstract

The effective-eigenvalue method is used for a calculation of the impedance of the Josephson tunneling junction for an externally applied small-signal alternating current in the presence of noise. The accuracy of the method is demonstrated by comparing the exact and approximate calculations. It shows clearly that the effective-eigenvalue method yields a simple and concise analytical description of the solution of the problem under consideration.

Authors:

Coffey, W T ^[1]; Kalmykov, Y P ^[2]; Massawe, E S ^[1]

Department of Microelectronics Electrical Engineering, Trinity College, Dublin 2 (Ireland)
Institute of Radio Engineering Electronics, Russian Academy of Sciences, Vvedenskii Sq.1, Fryazino, Moscow Region 141120 (Russian Federation)

Publication Date:: 1993-07-01

OSTI Identifier:: 6174189

Resource Type:: Journal Article

Journal Name:: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

Additional Journal Information:: Journal Volume: 48:1; Journal ID: ISSN 1063-651X

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; JOSEPHSON JUNCTIONS; IMPEDANCE; ACCURACY; BROWNIAN MOVEMENT; COMPARATIVE EVALUATIONS; CURRENTS; EIGENVALUES; INSTABILITY; LANGEVIN EQUATION; NOISE; NONLINEAR PROBLEMS; POTENTIALS; SIGNALS; TUNNEL EFFECT; EQUATIONS; EVALUATION; JUNCTIONS; SUPERCONDUCTING JUNCTIONS; 665412* - Superconducting Devices- (1992-)

Citation Formats


                    Coffey, W T, Kalmykov, Y P, and Massawe, E S. Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction.  United States: N. p., 1993. 
        Web.  doi:10.1103/PhysRevE.48.77.

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                    Coffey, W T, Kalmykov, Y P, & Massawe, E S. Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction.  United States.  https://doi.org/10.1103/PhysRevE.48.77

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                    Coffey, W T, Kalmykov, Y P, and Massawe, E S. Thu .  
        "Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction".  United States.  https://doi.org/10.1103/PhysRevE.48.77.

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@article{osti_6174189,

  title        = {Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction},

  author       = {Coffey, W T and Kalmykov, Y P and Massawe, E S},

  abstractNote = {The effective-eigenvalue method is used for a calculation of the impedance of the Josephson tunneling junction for an externally applied small-signal alternating current in the presence of noise. The accuracy of the method is demonstrated by comparing the exact and approximate calculations. It shows clearly that the effective-eigenvalue method yields a simple and concise analytical description of the solution of the problem under consideration.},

  doi          = {10.1103/PhysRevE.48.77},

  url          = {https://www.osti.gov/biblio/6174189},
  journal      = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)},

  issn         = {1063-651X},

  number       = ,

  volume       = 48:1,

  place        = {United States},

  year         = {1993},

  month        = {7}

}

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