Physics – Condensed Matter – Superconductivity
Scientific paper
2011-05-18
Phys. Rev. B 84, 104501 (2011)
Physics
Condensed Matter
Superconductivity
11.2 pages, 14 figures
Scientific paper
10.1103/PhysRevB.84.104501
We study the synchronization in a one dimensional array of point Josephson junctions coupled to a common capacitor, which establishes a long-range interaction between junctions and synchronizes them. The stability diagram of synchronization in a noise-free system is obtained. The current when junctions transform from resistive state into superconducting state, is then calculated and its dependence on the shunt parameters and the dissipation of junctions is revealed. In the presence of thermal noise, the synchronized oscillations are destroyed at a critical temperature and the system undergoes a continuous phase transition of desynchronization. A possible stability diagram of the synchronized oscillations with respect to thermal noise, current, dissipations and shunt capacitance is then constructed. Finally we investigate the dynamic relaxation from random oscillations into synchronized state. The relaxation time increases with the system size and temperature, but is reduced by the shunt capacitor.
Bulaevskii Lev
Hu Xiao
Lin Shi-Zeng
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