Abrupt Transition between Three-Dimensional and Two-Dimensional Quantum Turbulence.,Physical Review Letters

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Abrupt Transition between Three-Dimensional and Two-Dimensional Quantum Turbulence.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-04-03 , DOI: 10.1103/physrevlett.124.134501
Nicolás P Müller _{1,

2} , Marc-Etienne Brachet ₃ , Alexandros Alexakis ₃ , Pablo D Mininni ₁

Affiliation

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.

中文翻译：

三维和二维量子湍流之间的突然过渡。

我们在量子系统的非平衡平均场描述中提供了类似临界转变的数值证据。通过数值求解Gross-Pitaevskii方程，我们表明量子湍流在三维（3D）和二维（2D）行为之间显示出突变。在模拟系统实现的配置中，无论是在立方域的准2D流中（由3D扰动到流的幅度控制），还是在薄域的流中（由域长宽比控制）都观察到了过渡。在实验室实验中。在一种情况下，系统显示能量向较小尺度的转移，而在另一种情况下，系统显示能量向较大尺度的转移和量化涡旋的连贯自组织。

更新日期：2020-03-31

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