Graduate School in Nonlinear Science

Sponsored by the Danish Research Academy

MIDIT                               OFD                           CATS
Modelling, Nonlinear Dynamics       Optics and Fluid Dynamics     Chaos and Turbulence Studies
and Irreversible Thermodynamics     Risø National Laboratory      Niels Bohr Institute and 
Technical University of Denmark     Building 128                  Department of Chemistry
Building 321                        P.O. Box 49                   University of Copenhagen 
DK-2800 Lyngby                      DK-4000 Roskilde              DK-2100 Copenhagen Ø
Denmark                             Denmark                       Denmark


by Alexey V. Yulin
Institute for Physics of Microstructures of RAS,
Nizhny Novgorod

MIDIT-seminar 479

Friday April 28, 2000, 13.00 h
at MIDIT, IMM, Bldg. 305, Room 018, DTU,

Abstract: The resistive state of a non-resonant long Josephson junction is considered in the framework of the resistive-shunted model. We use an anzatz where the Josephson phase distribution is a quasi-linear function of space and time corresponding to a long junction in a relatively strong magnetic field. The self-consistent equations for both the low-frequency phase and for the high frequency radiated field are obtained. An explicit analytical solution for the small correction is found in the low-damping limit. It gives us the possibility to calculate the power delivered to a load and to find the current-voltage characteristic. It is demonstrated that there are steps on the I-V curve even in the absence of Fiske resonances. The equation for slow phase is analysed in the presence of thermal noise. Using the analytical expression for the electromagnetic field, the radiation spectrum of a non-resonance long Josephson junction is found in the limit of weak noise.