Effectiveeigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction
Abstract
The effectiveeigenvalue method is used for a calculation of the impedance of the Josephson tunneling junction for an externally applied smallsignal 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 effectiveeigenvalue method yields a simple and concise analytical description of the solution of the problem under consideration.
 Authors:

 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:
 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 1063651X
 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. Effectiveeigenvalue 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. Effectiveeigenvalue 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 .
"Effectiveeigenvalue 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 = {Effectiveeigenvalue 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 effectiveeigenvalue method is used for a calculation of the impedance of the Josephson tunneling junction for an externally applied smallsignal 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 effectiveeigenvalue 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 = {1063651X},
number = ,
volume = 48:1,
place = {United States},
year = {1993},
month = {7}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.