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Inverse energy cascade in forced two-dimensional quantum turbulence.

机译:强制二维量子湍流中的逆能量级联。

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摘要

We demonstrate an inverse energy cascade in a minimal model of forced 2D quantum vortex turbulence. We simulate the Gross-Pitaevskii equation for a moving superfluid subject to forcing by a stationary grid of obstacle potentials, and damping by a stationary thermal cloud. The forcing injects large amounts of vortex energy into the system at the scale of a few healing lengths. A regime of forcing and damping is identified where vortex energy is efficiently transported to large length scales via an inverse energy cascade associated with the growth of clusters of same-circulation vortices, a Kolmogorov scaling law in the kinetic energy spectrum over a substantial inertial range, and spectral condensation of kinetic energy at the scale of the system size. Our results provide clear evidence that the inverse energy cascade phenomenon, previously observed in a diverse range of classical systems, can also occur in quantum fluids.
机译:我们在强制二维量子涡旋湍流的最小模型中证明了逆能量级联。我们模拟了一个运动的超流体的Gross-Pitaevskii方程,该方程受障碍势的固定网格强迫以及固定的热云衰减。强迫以几个愈合长度的规模将大量涡旋能量注入系统。确定了一种强迫和阻尼机制,其中通过与相同循环涡团的增长相关的逆能量级联,有效地将涡旋能量有效地传输至大尺度,这是在相当大的惯性范围内的动能谱中的Kolmogorov尺度定律,和动能的光谱凝聚在系统规模的规模。我们的结果提供了明确的证据,即先前在各种经典系统中观察到的逆能量级联现象也可能在量子流体中发生。

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