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Discrete vortices on spatially nonuniform two-dimensional electric networks.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-07 , DOI: 10.1103/physreve.102.012204 Victor P Ruban 1
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-07 , DOI: 10.1103/physreve.102.012204 Victor P Ruban 1
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Two-dimensional arrays of nonlinear electric oscillators are considered theoretically where nearest neighbors are coupled by relatively small constant but nonequal capacitors. The dynamics is approximately reduced to a weakly dissipative defocusing discrete nonlinear Schrödinger equation with translationally noninvariant linear dispersive coefficients. Behavior of quantized discrete vortices in such systems is shown to depend strongly on the spatial profile of the internode coupling as well as on the ratio between time-increasing healing length and lattice spacings. In particular, vortex clusters can be stably trapped for some initial period of time by a circular barrier in the coupling profile, but then, due to gradual dissipative broadening of vortex cores, they lose stability and suddenly start to move.
中文翻译：
空间非均匀二维电网上的离散涡旋。
理论上考虑了非线性电振荡器的二维阵列，其中最近的邻居通过相对较小的恒定但不相等的电容器耦合。动力学近似简化为具有平移不变线性分散系数的弱耗散离焦离散非线性Schrödinger方程。在这样的系统中，量化的离散涡流的行为显示出强烈地依赖于节间耦合的空间分布以及随着时间增长的愈合长度和晶格间距之间的比率。尤其是，涡旋簇可以在耦合轮廓中被圆形屏障稳定地捕获一些初始时间，但是随后，由于涡旋核的逐渐耗散扩展，它们失去了稳定性并突然开始移动。
更新日期：2020-07-07
中文翻译：
空间非均匀二维电网上的离散涡旋。
理论上考虑了非线性电振荡器的二维阵列，其中最近的邻居通过相对较小的恒定但不相等的电容器耦合。动力学近似简化为具有平移不变线性分散系数的弱耗散离焦离散非线性Schrödinger方程。在这样的系统中，量化的离散涡流的行为显示出强烈地依赖于节间耦合的空间分布以及随着时间增长的愈合长度和晶格间距之间的比率。尤其是，涡旋簇可以在耦合轮廓中被圆形屏障稳定地捕获一些初始时间，但是随后，由于涡旋核的逐渐耗散扩展，它们失去了稳定性并突然开始移动。
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