1,133 research outputs found
Cherenkov radiation from fluxon in a stack of coupled long Josephson junctions
We present a systematic study of the Cherenkov radiation of Josephson plasma
waves by fast moving fluxon in a stack of coupled long Josephson junctions for
different fluxon modes. It is found that at some values of parameters
current-voltage characteristic may exhibit a region of the back-bending on the
fluxon step. In the opposite limit the emission of the Cherenkov radiation
takes place. In the annular junctions of moderate length the interaction of the
emitted waves with fluxon results in the novel resonances which emerge on the
top of the fluxon step. We present more exact formulas which describe the
position of such resonances taking into account difference between junction and
non-linear corrections. The possibility of direct detection of the Cherenkov
radiation in junctions of linear geometry is discussed.Comment: 10 pages, 12 figures, accepted to JLT
Limiting Distribution of Frobenius Numbers for
The purpose of this paper is to give a complete derivation of the limiting
distribution of large Frobenius numbers outlined in earlier work of J. Bourgain
and Ya. Sinai and fill some gaps formulated there as hypotheses.Comment: 13 page
AC induced damping of a fluxon in long Josephson junction
We present a theoretical and experimental study of Josephson vortex (fluxon)
moving in the presence of spatially homogeneous dc and ac bias currents. By
mapping this problem to the problem of calculating the current-voltage
characteristic of a small Josephson junction, we derive the dependence of the
average fluxon velocity on the dc bias current. In particular we find that the
low frequency ac bias current results in an additional nonlinear damping of
fluxon motion. Such ac induced damping crucially depends on the intrinsic
damping parameter and increases drastically as this parameter is reduced. We
find a good agreement of the analysis with both the direct numerical
simulations and the experimentally measured current-voltage characteristics of
a long annular Josephson junction with one trapped fluxon.Comment: Physical Review B, in pres
Observation of progressive motion of ac-driven solitons
We report the first experimental observation of phase-locked motion of a
topological soliton at a nonzero average velocity in a periodically modulated
lossy medium, under the action of an ac force with no dc component [the effect
was predicted by G. Filatrella, B.A. Malomed, and R.D. Parmentier, Phys. Lett.
A 198, 43 (1995)]. The velocity is related by a resonant condition to the
driving frequency. The observation is made in terms of the current-voltage,
I(V), characteristics for a fluxon trapped in an annular Josephson junction
placed into dc magnetic field. Large zero-crossing constant-voltage steps,
exactly corresponding to the resonantly locked soliton motion at different
orders of the resonance, are found on the experimental I(V) curves. A measured
dependence of the size of the steps vs. the external magnetic field is in good
agreement with predictions of an analytical model based on the balance equation
for the fluxon's energy. The effect has a potential application as a
low-frequency voltage standard. The work was supported by a grant from the
German-Israeli Foundation.Comment: Physical Review B, in press (Rapid Communication
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