Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Analog simulations of Josephson junction in a microwave field. Devil's staircase, fractal dimension, and decay constants

Analog simulations of Josephson junction in a microwave field. Devil's staircase, fractal... The RSJ model of the Josephson junction in the presence of a microwave field is studied using an analog computer, with special attention to the behavior of this system near or at the critical line, where the set of substeps forms a complete devil's staircase on theI-V characteristic. A value of fractal dimensionD=0.868±0.002 is determined from 240 substeps between the winding numbersW=0 andW=1. Four values of decay constants are determined. The results agree very well with the prediction obtained from the one-dimensional circle map. A self-similarity graph is shown confirming that the staircase is very near the critical line. Results confirm the universal and global character ofD and decay constants on the critical line, as was suggested by Jensen et al. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Low Temperature Physics Springer Journals

Analog simulations of Josephson junction in a microwave field. Devil's staircase, fractal dimension, and decay constants

Download PDF
22 pages

Loading next page...
 
/lp/springer-journals/analog-simulations-of-josephson-junction-in-a-microwave-field-devil-s-6OEwgf42K0

References (40)

Publisher
Springer Journals
Copyright
Copyright
Subject
Physics; Condensed Matter Physics; Characterization and Evaluation of Materials; Magnetism, Magnetic Materials
ISSN
0022-2291
eISSN
1573-7357
DOI
10.1007/BF00684006
Publisher site
See Article on Publisher Site

Abstract

The RSJ model of the Josephson junction in the presence of a microwave field is studied using an analog computer, with special attention to the behavior of this system near or at the critical line, where the set of substeps forms a complete devil's staircase on theI-V characteristic. A value of fractal dimensionD=0.868±0.002 is determined from 240 substeps between the winding numbersW=0 andW=1. Four values of decay constants are determined. The results agree very well with the prediction obtained from the one-dimensional circle map. A self-similarity graph is shown confirming that the staircase is very near the critical line. Results confirm the universal and global character ofD and decay constants on the critical line, as was suggested by Jensen et al.

Journal

Journal of Low Temperature Physics – Springer Journals

Published: Nov 6, 2004

There are no references for this article.