Numerical analysis of vortex motion in two-dimensional array of Josephson junctions

作者：Kiyotaka Nakajima, Yasuji Sawada · 发表于：Journal of Applied Physics · 年份：1981 · DOI：10.1063/1.329514 · 被引用次数：59 · 研究领域：Nonlinear Dynamics and Pattern Formation、Semiconductor Lasers and Optical Devices、Optical Network Technologies

We show that the equation which describes two- and three-dimensional arrays of small-area Josephson junctions is reduced to the following form, −∇×(∇×φ)−∂2φ/∂t2−Γ∂φ/∂t = sin φ, where φ is the two- or three-dimensional phase-difference vector, and sin φ is the vector whose components are sine functions of the components of φ, respectively. Based on the above equation we analyze numerically a two-dimensional square network of Josephson junctions, and discuss the vortex motion on the network.