论文标题
三维和二维量子湍流之间的突然过渡
Abrupt transition between three and two-dimensional quantum turbulence
论文作者
论文摘要
我们提供了在量子系统的均衡均值均值描述中临界过渡的数值证据。通过数值求解毛taevskii方程，我们表明量子湍流在三维（3D）和二维（2D）行为之间显示出突然的变化。观察到过渡在立方结构域中的准2D流中（由3D扰动的幅度控制），以及在薄域中（由域纵横比控制）中的流中，以模拟实验室实验中实现的构型系统。在一个方案中，系统将能量向较小的尺度传递，而在另一个系统中，系统将能量向较大的尺度和量化涡流的相干自组织传递。
We present numerical evidence of a critical-like transition in an out-of-equilibrium mean-field description of a quantum system. By numerically solving the Gross-Pitaevskii equation we show that quantum turbulence displays an abrupt change between three-dimensional (3D) and two-dimensional (2D) behavior. The transition is observed both in quasi-2D flows in cubic domains (controlled by the amplitude of a 3D perturbation to the flow), as well as in flows in thin domains (controlled by the domain aspect ratio) in a configuration that mimics systems realized in laboratory experiments. In one regime the system displays a transfer of the energy towards smaller scales, while in the other the system displays a transfer of the energy towards larger scales and a coherent self-organization of the quantized vortices.
