Numerical modeling of long Josephson junctions in the frame of double sine-gordon equation

2011 ◽  
Vol 3 (3) ◽  
pp. 389-398 ◽  
Author(s):  
P. Kh. Atanasova ◽  
T. L. Boyadjiev ◽  
Yu. M. Shukrinov ◽  
E. V. Zemlyanaya
Keyword(s):  
Numerical Modeling ◽  
Josephson Junctions ◽  
Gordon Equation ◽  
Sine Gordon Equation

Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation

1996 ◽  
Vol 97 (4) ◽  
pp. 429-470 ◽  
Author(s):  
Shinya Watanabe ◽  
Herre S.J. van der Zant ◽  
Steven H. Strogatz ◽  
Terry P. Orlando
Keyword(s):  
Josephson Junctions ◽  
Gordon Equation ◽  
Sine Gordon Equation ◽  
Circular Arrays

scholarly journals Soliton and Breather Splitting on Star Graphs from Tricrystal Josephson Junctions

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 271
Author(s):  
Hadi Susanto ◽  
Natanael Karjanto ◽  
Zulkarnain ◽  
Toto Nusantara ◽  
Taufiq Widjanarko
Keyword(s):  
Schrödinger Equation ◽  
Josephson Junctions ◽  
Small Amplitude ◽  
Schrodinger Equation ◽  
Gordon Equation ◽  
Complex Dynamics ◽  
Transmission Rate ◽  
Plane Waves ◽  
Star Graph ◽  
Sine Gordon Equation

We consider the interactions of traveling localized wave solutions with a vertex in a star graph domain that describes multiple Josephson junctions with a common/branch point (i.e., tricrystal junctions). The system is modeled by the sine-Gordon equation. The vertex is represented by boundary conditions that are determined by the continuity of the magnetic field and vanishing total fluxes. When one considers small-amplitude breather solutions, the system can be reduced into the nonlinear Schrödinger equation posed on a star graph. Using the equation, we show that a high-velocity incoming soliton is split into a transmitted component and a reflected one. The transmission is shown to be in good agreement with the transmission rate of plane waves in the linear Schrödinger equation on the same graph (i.e., a quantum graph). In the context of the sine-Gordon equation, small-amplitude breathers show similar qualitative behaviors, while large-amplitude ones produce complex dynamics.

SOLITON TRAINS AND I–V CHARACTERISTICS OF LONG JOSEPHSON JUNCTIONS

1995 ◽  
Vol 05 (02) ◽  
pp. 491-505 ◽  
Author(s):  
A.G. MAKSIMOV ◽  
V.I. NEKORKIN ◽  
M.I. RABINOVICH
Keyword(s):  
Magnetic Field ◽  
Josephson Junction ◽  
Josephson Junctions ◽  
Gordon Equation ◽  
Alternating Magnetic Field ◽  
Equation Modeling ◽  
Sine Gordon Equation ◽  
Soliton Dynamics ◽  
Current Voltage ◽  
Current Voltage Characteristics

Soliton dynamics in a perturbed sine-Gordon equation modeling a long Josephson junction is investigated. Solitons are found to exist in both simple and chaotic forms. Soliton synchronization by an alternating magnetic field is analysed. Current-voltage characteristics of Josephson junction are plotted.

scholarly journals INFLUENCE OF LENGTH ON THE NOISE DELAYED SWITCHING OF LONG JOSEPHSON JUNCTIONS

2008 ◽  
Vol 18 (09) ◽  
pp. 2857-2862 ◽  
Author(s):  
K. G. FEDOROV ◽  
A. L. PANKRATOV ◽  
B. SPAGNOLO
Keyword(s):  
White Noise ◽  
Josephson Junctions ◽  
Gordon Equation ◽  
Noise Source ◽  
Transient Dynamics ◽  
Sine Gordon Equation ◽  
Small Noise ◽  
Sine Gordon Model

The transient dynamics of long overlap Josephson junctions in the frame of the sine-Gordon model with a white noise source is investigated. The effect of noise delayed decay is observed for the case of overdamped sine-Gordon equation. It is shown that this noise induced effect, in the range of small noise intensities, vanishes for junction lengths greater than several Josephson penetration lengths.

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