Abstract
The paper is devoted to the determination of processes in the two-dimensional Josephson junction via numerical solution of 2+1 dimensional sine-Gordon equation (sGe) with suitably chosen boundary conditions.
There is adopted an assumption that the normal derivative of the phase order parameter on a border of a junction is given by the surface current distribution on superconductive electrodes. This current distribution can be determined exactly since it makes a linear problem even in a presence of an external magnetic field although the surface current distribution is not uniform and can be singular. A rectangular junction is discussed as an example.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Barone et al.J. Appl. Phys. 53, 5802, (1982).
J.C. Eilbeck et al.J. Appl. Phys. 57, 861 and 997 (1985).
S. Pace, R. Vaglio,J. Appl. Phys. 50, 7254 (1979).
J. G. CaputoProc. of Conf. Nonlin. Coher. Struct. in Phys. and Biol., Ediburgh, 1995- will be publ.
M. Floriańczyk, M. Jaworski,Phys. Rev. B,40, 2128 (1989).
P.L. Christiansen, P.S. Lohmdahl,Physica 2D 482 (1981).
R. K. Dodd, J. C. Eilbeck, J. D. Gibbon and H. C. Morris;Solitons and Nonlinear Equations, (Acad.Press, London, 1982).
J. Pelka, J. A. Zagrodziński,Physica B 192, 378 (1993).
R. Pawlikowski, J. Zagrodziński,Phys.Rev. B 54, 9 (1996).