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SIZE EFFECT OF INNER RADIUS ON CIRCULARLY SYMMETRIC SOLITON STATES IN ANNULAR JOSEPHSON JUNCTIONS
徐昆明, 陆道芳, 姚希贤
1993 (4):
300-310.
doi: 10.1088/1004-423X/2/4/008
摘要
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The effect of the inner radius of an annular Josephson junetion on the excitation 0f circularly symmetric soliton states is explored by direct numerical simulation. In a circularly symmetric annular Josephson junction (CSAJJ hereafter), the phase difference in the order parameters Φ across the junction bar-rier obeys the modified sine-Gordon equation (SGE) in which there is a perturbation term Φp/ρ inversely proportional to the radial coordinate ρ. and this term does not appear in the case of a 1D in-line junc-tion. The effect of the Φp/ρ term becomes prominent when ρ is small. It turns out that for junctions of grven dissipation and annular width, there is a lower limit of the inner radii for the junctions to support stable soliton motion, while the lower limit depends strongly on the dissipation coefficient α. For example, for a CSAJJ with inner radius 5λJ, outer radius 10λJ, no stable soliton states would exist when α=0.01 or α=0.02. However, for 0.06≥α≥0.03, there are ring-shaped solitary wave solutions, presumably because the dissipation suppresses the effect of the Φp/ρ term. Finally, the behaviour of the seliton states and the rele-vant I-V characteristics are also disscussed.
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