Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2010-12-07
Nonlinear Sciences
Pattern Formation and Solitons
To appear in SIAM J. Applied Mathematics
Scientific paper
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson junctions with phase-shifts can have a spatially nonuniform ground state. In recent reports, it is experimentally shown that a microwave drive can be used to measure the eigenfrequency of a junction's ground state. Such a microwave spectroscopy is based on the observation that when the frequency of the applied microwave is in the vicinity of the natural frequency of the ground state, the junction can switch to a resistive state, characterized by a non-zero junction voltage. It was conjectured that the process is analogous to the resonant phenomenon in a simple pendulum motion driven by a time periodic external force. In the case of long junctions with phase-shifts, it would be a resonance between the internal breathing mode of the ground state and the microwave field. Nonetheless, it was also reported that the microwave power needed to switch the junction into a resistive state depends on the magnitude of the eigenfrequency to be measured. Using multiple scale expansions, we show here that an infinitely long Josephson junction with phase-shifts cannot be switched to a resistive state by microwave field with frequency close to the system's eigenfrequency, provided that the applied microwave amplitude is small enough, which confirms the experimental observations. It is because higher harmonics with frequencies in the continuous spectrum are excited, in the form of continuous wave radiation. The presence of applied microwaves balances the nonlinear damping, creating a stable breather mode oscillation. We confirm our analytical results numerically.
Ali Amir
Susanto Hadi
Wattis Jonathan
No associations
LandOfFree
Breathing modes of long Josephson junctions with phase-shifts does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Breathing modes of long Josephson junctions with phase-shifts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Breathing modes of long Josephson junctions with phase-shifts will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-480854