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Article Dans Une Revue Physical Review Letters Année : 2020

Abrupt Transition between Three-Dimensional and Two-Dimensional Quantum Turbulence

Marc-Etienne Brachet
Alexandros Alexakis
Pablo D Mininni

Résumé

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.
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Dates et versions

hal-03029313 , version 1 (28-11-2020)

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Nicolás P Müller, Marc-Etienne Brachet, Alexandros Alexakis, Pablo D Mininni. Abrupt Transition between Three-Dimensional and Two-Dimensional Quantum Turbulence. Physical Review Letters, 2020, 124 (13), ⟨10.1103/PhysRevLett.124.134501⟩. ⟨hal-03029313⟩
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