# On the violation of the zeroth law of turbulence in space plasmas

@article{Meyrand2021OnTV, title={On the violation of the zeroth law of turbulence in space plasmas}, author={Romain Meyrand and Jonathan Squire and A. A. Schekochihin and William Dorland}, journal={Journal of Plasma Physics}, year={2021}, volume={87} }

The zeroth law of turbulence states that, for fixed energy input into large-scale motions, the statistical steady state of a turbulent system is independent of microphysical dissipation properties. This behaviour, which is fundamental to nearly all fluid-like systems from industrial processes to galaxies, occurs because nonlinear processes generate smaller and smaller scales in the flow, until the dissipation – no matter how small – can thermalise the energy input. Using direct numerical… Expand

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#### References

SHOWING 1-10 OF 96 REFERENCES

A Model of Turbulence in Magnetized Plasmas: Implications for the Dissipation Range in the Solar Wind

- Physics
- 2007

This paper studies the turbulent cascade of magnetic energy in weakly col- lisional magnetized plasmas. A cascade model is presented, based on the assumptions of local nonlinear energy transfer in… Expand

Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional Plasmas

- Physics
- 2007

This paper presents a theoretical framework for understanding plasma turbulence in astrophysical plasmas. It is motivated by observations of electromagnetic and density fluctuations in the solar… Expand

Fluidization of collisionless plasma turbulence

- Physics, Medicine
- Proceedings of the National Academy of Sciences
- 2019

Kolmogorov wins the competition with Landau for the free energy in a collisionless turbulent plasma, and the universality of “fluid” turbulence physics is reaffirmed even for a kinetic, collisionless system. Expand

On the energy spectrum of strong magnetohydrodynamic turbulence

- Physics
- 2012

The energy spectrum of magnetohydrodynamic turbulence attracts interest due to its fundamental importance and its relevance for interpreting astrophysical data. Here we present measurements of the… Expand

Coupling Large Eddies and Waves in Turbulence: Case Study of Magnetic Helicity at the Ion Inertial Scale

- Physics
- 2020

In turbulence, for neutral or conducting fluids, a large ratio of scales is excited because of the possible occurrence of inverse cascades to large, global scales together with direct cascades to… Expand

Toward a theory of interstellar turbulence. 2. Strong Alfvenic turbulence

- Physics
- 1994

We continue to investigate the possibility that interstellar turbulence is caused by nonlinear interactions
among shear Alfven waves. Here, as in Paper I, we restrict attention to the symmetric case… Expand

Universality of solar-wind turbulent spectrum from MHD to electron scales.

- Physics, Medicine
- Physical review letters
- 2009

It is shown that the electron Larmor radius plays the role of a dissipation scale in space plasma turbulence and the spectra form a quasiuniversal spectrum following the Kolmogorov's law at MHD scales. Expand

Constraints on ion versus electron heating by plasma turbulence at low beta

- Physics
- Journal of Plasma Physics
- 2019

It is shown that in low-beta, weakly collisional plasmas, such as the solar corona, some instances of the solar wind, the aurora, inner regions of accretion discs, their coronae and some laboratory… Expand

TOWARD A THEORY OF INTERSTELLAR TURBULENCE. I. WEAK ALFVENIC TURBULENCE

- 2009

We study weak Alfvenic turbulence of an incompressible, magnetized fluid in some detail, with a view to developing a firm theoretical basis for the dynamics of small-scale turbulence in the… Expand

TOWARD A THEORY OF ASTROPHYSICAL PLASMA TURBULENCE AT SUBPROTON SCALES

- Physics
- 2013

We present an analytical study of subproton electromagnetic fluctuations in a collisionless plasma with a plasma beta of the order of unity. In the linear limit, a rigorous derivation from the… Expand