Alternating currents and shear waves in viscous electronics
Alternating currents and shear waves in viscous electronics
复制标题
粘性电子学中的交流电和剪切波
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
G. Falkovich
中科院分区：
文献类型：
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作者：
M. Semenyakin;G. Falkovich
载流子之间的强相互作用可以使它们像粘性流体一样运动。在这里，我们探讨粘性电子中的交流（AC）效应。在欧姆情况下，样品中的不可压缩电流分布快速调整到电极上的时间相关电压，而在粘性情况下，动量扩散导致延迟和传播慢剪切波的可能性。我们专注于特定的几何形状，展示有趣的方面，这样的波：电流平行于一个一维的缺陷和电流施加在一个长的带。我们发现，波的相速度沿着带传播分别增加/减少的频率为无滑移/无应力边界条件。这是因为当频率或带宽度变为零（或者，粘度变为无穷大）时，电流图案的波长在无应力情况下趋于无穷大，而在一般情况下趋于有限值。我们还表明，直流电流通过一个带无应力边界，只有一对涡，而有一个无限的涡链的所有其他类型的边界条件。
Strong interaction among charge carriers can make them move like viscous fluid. Here we explore alternating current (AC) effects in viscous electronics. In the Ohmic case, incompressible current distribution in a sample adjusts fast to a time-dependent voltage on the electrodes, while in the viscous case, momentum diffusion makes for retardation and for the possibility of propagating slow shear waves. We focus on specific geometries that showcase interesting aspects of such waves: current parallel to a one-dimensional defect and current applied across a long strip. We find that the phase velocity of the wave propagating along the strip respectively increases/decreases with the frequency for no-slip/no-stress boundary conditions. This is so because when the frequency or strip width goes to zero (alternatively, viscosity go to infinity), the wavelength of the current pattern tends to infinity in the no-stress case and to a finite value in a general case. We also show that for DC current across a strip with no-stress boundary, there only one pair of vortices, while there is an infinite vortex chain for all other types of boundary conditions.