Symmetry breaking in a turbulent environment

Alexandros Alexakis, François Pétrélis, Santiago J. Benavides, and Kannabiran Seshasayanan
Phys. Rev. Fluids 6, 024605 – Published 15 February 2021

Abstract

In this work we investigate symmetry breaking in the presence of a turbulent environment. The transition from a symmetric state to a symmetry-breaking state is demonstrated using two examples: (1) the transition of a two-dimensional flow to a three-dimensional flow as the fluid layer thickness is varied and (2) the dynamo instability in a thin layer flow as the magnetic Reynolds number is varied. We show that these examples have similar critical exponents that differ from the mean-field predictions. The critical behavior can be related to the multiplicative nature of the fluctuations and can be predicted in certain limits using results from the statistical properties of random interfaces. Our results indicate the possibility of existence of a new class of out-of-equilibrium phase transition controlled by the multiplicative noise.

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  • Received 19 April 2020
  • Accepted 28 January 2021

DOI:https://doi.org/10.1103/PhysRevFluids.6.024605

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsStatistical Physics & Thermodynamics

Authors & Affiliations

Alexandros Alexakis and François Pétrélis

  • Laboratoire de Physique de l'École Normale Supérieure, CNRS, PSL Research University, Sorbonne Université, Université de Paris, F-75005 Paris, France

Santiago J. Benavides

  • Department of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Kannabiran Seshasayanan

  • Service de Physique de l'Etat Condensé, CNRS UMR 3680, CEA Saclay, 91191 Gif-sur-Yvette, France and Department of Physics, Indian Institute of Technology Kharagpur, Kharagpur 721 302, India

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Issue

Vol. 6, Iss. 2 — February 2021

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