Computing the Minimal Size of One-Dimesional Josephson Junctions
by
Todor Boyadjiev
Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski"
Coauthors: Michail Todorov (Institute of Applied Mathematics and Computer Science, Technical University of Sofia)

A direct method for calculating the minimal size of one-dimensional either, linear or circular Josephson junction in which the specific distribution of the magnetic flux retains its stability is proposed. Since the size of the junction is a variable quantity, the proper nonlinear eigenvalue problem as a problem with free boundaries is interpreted. This problem is treated through appropriate modification of the Continuous Analog of Newton's Method. The obtained results give us warranty to consider as a "long", every Josephson junction in which there exists at least one nontrivial stable distribution of the magnetic flux. In the inhomogeneous case there is an optimal size of the inhomogeneity for which the minimal junction size providing a stable soliton becomes minimal for fixed values of the all other parameters.

http://www.fmi.uni-sofia.bg/fmi/mech_anl/todor/index.htm

Date received: March 26, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caen-53.