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AN APPLICATION OF FOKKER-PLANCK EQUATION TO JOSEPHSON JUNCTION
G. Liao, A. F. Lawrence, A. T. Abawi
Acta mathematica scientia,Series B. 1989, 9 (1):
109-120.
A long Josephson junction can be modeled by a perturbed sine-Gordon equation. Based on a soliton perturbation theory, the probability distribution of the velocity of a single soliton, at the presence of a white noise contained in bias current, is studied by the Fokker-Planck method. This approach can be extended to the study of multisolitons.
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