On Kink-Dynamics of Stacked-Josephson Junctions
Abstract
Dynamics of a fluxon in a stack of coupled long Josephson junctions is studied numericallv. Based on the numerical simulations, we show that the dependence of the propagation velocity c on the external bias current γ is determined by the ratio of the critical currents of thc two junctions J.
References
A. Barone & G. Paterno, Physics and Applications of the Josephson Effect. Wiley, New York, 1970.
A. Wallraff, E. Goldobin & A.V. Ustinov, J. Appl. Phys. 80(11):6523-6535,1996.
A. V. Ustinov, H. Kolstedt, M. Cirillo, N. F. Pedersen, G. Hallmanns & C. Heiden, Phys. Rev. B 48:10614, 1993.
D.L. Brown, M.G. Forest, B.J. Miller & N.A. Petersson, SIAM J. Appl. Math. 54(4):1048-1066, 1994.
E. Goldobin, B. A. Malomed & A. V. Ustinov, Phys. Letters A66:67-75, 2000.
E. Goldobin, A. Wallraff & A. V. Ustinov, J. Low Temp. Phys. 119(5/6):589-614, 2000.
E. Goldobin, A. Wallraff, N. Thyssen & A. V. Ustinov, Phys. Rev. B 57(1):130-133, 1998.
E.J. Doedel, R.C. Paffenroth, et. al., AUTO2000: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), Concordia University, Canada, ftp.cs.concordia.ca/pub/doedel/auto.
M. B. Mineev, G . S. Mkrtchjan & V. V. Schmidt, J. Low Temp. Phys. 45:497, 1981.
J.B. van den Berg, S.A. van Gils & T.P.P. Visser, Parameter Dependance of Homoclinic Solutions in a Single Long Josephson Junction, submitted to Nonlinearity.
T.P.P Yisser, Modelling and Analysis of Long Josephson Junctions, Twente University Press, 2002.
T.P.P. Visser, PDE-solver, Twente University, the Netherlands.
