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

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:
 [1];  [2];  [1]
  1. Department of Microelectronics Electrical Engineering, Trinity College, Dublin 2 (Ireland)
  2. Institute of Radio Engineering Electronics, Russian Academy of Sciences, Vvedenskii Sq.1, Fryazino, Moscow Region 141120 (Russian Federation)
Publication Date:
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.
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
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.
@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}
}