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Updated: May 24, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Phase transitions in wave turbulence.

Natalia Vladimirova1, Stanislav Derevyanko, Gregory Falkovich

  • 1University of New Mexico, Albuquerque, New Mexico 87131, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 10, 2012
PubMed
Summary
This summary is machine-generated.

This study shows that pumping a system with an instability term, not random force, drives turbulence towards order. Inverse cascade turbulence is nonuniversal, depending on the forcing

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Area of Science:

  • Quantum turbulence
  • Condensate dynamics
  • Statistical physics

Background:

  • Turbulence in superfluids and Bose-Einstein condensates exhibits unique phenomena.
  • The Gross-Pitaevskii model describes Bose-Einstein condensates.
  • Inverse cascades transfer energy to larger scales, unlike direct cascades in classical turbulence.

Purpose of the Study:

  • To investigate the formation of a coherent condensate via inverse cascade turbulence.
  • To analyze the spontaneous breakdown of statistical symmetries during condensate growth.
  • To determine the influence of forcing type on turbulence and phase transitions.

Main Methods:

  • Numerical simulations within the Gross-Pitaevskii model.
  • Analysis of statistical symmetries and phase transitions.
  • Description of anisotropic flux flows in k-space.

Main Results:

  • An inverse cascade creates a coherent condensate from small-scale turbulence.
  • Condensate growth breaks statistical symmetries: isotropy, then twofold, threefold, and fourfold.
  • Anisotropic flux flows emerge in k-space.
  • A hexatic phase with short-range positional and long-range orientational order is observed.
  • Phase transitions occur with instability forcing, but not with random forcing.

Conclusions:

  • System pumping with instability drives turbulence towards increased order.
  • Nonuniversality of inverse-cascade turbulence is demonstrated concerning the nature of small-scale forcing.
  • The type of forcing dictates whether phase transitions and ordering occur.