Symmetry breaking in a turbulent environment

@inproceedings{Alexakis2021SymmetryBI,
  title={Symmetry breaking in a turbulent environment},
  author={Alexandros Alexakis and François P{\'e}tr{\'e}lis and Santiago J. Benavides and Kannabiran Seshasayanan},
  year={2021}
}
Symmetry breaking in laminar flows is well known in the transition to turbulence scenario. Here we consider the breaking of a remaining symmetry in an already turbulent flow, as in the transition from a two-dimensional turbulent flow shown in the figure to a three-dimensional turbulent flow. We show that such cases have critical exponents that differ from the mean-field predictions and our results indicate the possible existence of a new class of out-of-equilibrium phase transition controlled… 
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References

SHOWING 1-10 OF 25 REFERENCES

A universal transition to turbulence in channel flow

Experiments and simulations of the transition to turbulence in fluid flow through a quasi-2D channel reveal critical exponents consistent with directed percolation — long conjectured to be the…

Directed percolation criticality in turbulent liquid crystals.

This work experimentally investigates the critical behavior of a phase transition between two topologically different turbulent states of electrohydrodynamic convection in nematic liquid crystals, providing the first clear and comprehensive experimental evidence of an absorbing phase transition in this prominent nonequilibrium universality class.

Transition to Turbulent Dynamo Saturation.

It is shown that the magnetic energy transitions from a high-Pm viscous scaling regime to a low-P m turbulent scaling regime, the latter being independent of viscosity.

Cascades and transitions in turbulent flows

Effect of fluctuations on mean-field dynamos

We discuss the effect of different types of fluctuations on dynamos generated in the limit of scale separation. We first recall that the magnetic field observed in the VKS (von Karman flow of liquid…

Growth rate distribution and intermittency in kinematic turbulent dynamos: Which moment predicts the dynamo onset?

It is shown that the onset for the nonlinear problem is predicted by the linear onset of the moment of order 0 + (i.e. the logarithm of the magnetic field) and that this onset is similar to that for the kinematic dynamo problem.

Directed percolation phase transition to sustained turbulence in Couette flow

Decades-old speculation that the transition to turbulence belongs to the directed percolation universality class is confirmed with experimental and numerical data for flow through a…

Anomalous exponents at the onset of an instability.

It is shown that the critical behavior can be anomalous; i.e., the mode amplitude X scales with departure from onset μ as ∝μ(β) with an exponent β different from its deterministic value.

Dynamic scaling of growing interfaces.

A model is proposed for the evolution of the profile of a growing interface that exhibits nontrivial relaxation patterns, and the exact dynamic scaling form obtained for a one-dimensional interface is in excellent agreement with previous numerical simulations.

Forward and inverse kinetic energy cascades in Jupiter’s turbulent weather layer

The Jovian atmosphere is highly turbulent due to processes happening on a wide range of length scales. Cassini spacecraft data now suggest the presence of kinetic energy cascades over different…