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PreprintCC BY 4.0arXiv

Exponential Growth of Turbulent Cross Helicity in Shear-Flow-Driven Turbulence

  • B. Tripathi
  • A. E. Fraser
  • P. W. Terry
  • E. G. Zweibel
  • M. J. Pueschel
  • A. M. Beloborodov
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Abstract

Cross helicity, the velocity--magnetic-field correlation, is an ideal invariant of incompressible magnetohydrodynamics and constrains energy cascades and magnetic-field generation. Although cross helicity typically decays via visco-resistive effects, we analytically demonstrate that it grows exponentially in sheared inhomogeneous turbulence. This cross-helical shear instability is confirmed using three-dimensional numerical simulations. Growth requires a nonzero gradient of the Reynolds--Maxwell stress to produce turbulent cross helicity; this production overcomes effective losses when shear exceeds a threshold set by the ratio of turbulent magnetic to momentum diffusivities.

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Cite

BibTeXRIS
BibTeX
@misc{tripathi2026exponential,
  title = {{Exponential Growth of Turbulent Cross Helicity in Shear-Flow-Driven Turbulence}},
  author = {B. Tripathi and A. E. Fraser and P. W. Terry and E. G. Zweibel and M. J. Pueschel and A. M. Beloborodov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28424},
  eprint = {2610.28424},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28424},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Exponential Growth of Turbulent Cross Helicity in Shear-Flow-Driven Turbulence
AU  - B. Tripathi
AU  - A. E. Fraser
AU  - P. W. Terry
AU  - E. G. Zweibel
AU  - M. J. Pueschel
AU  - A. M. Beloborodov
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28424
UR  - https://arxiv.org/abs/2610.28424
AB  - Cross helicity, the velocity--magnetic-field correlation, is an ideal invariant of incompressible magnetohydrodynamics and constrains energy cascades and magnetic-field generation. Although cross helicity typically decays via visco-resistive effects, we analytically demonstrate that it grows exponentially in sheared inhomogeneous turbulence. This cross-helical shear instability is confirmed using three-dimensional numerical simulations. Growth requires a nonzero gradient of the Reynolds--Maxwell stress to produce turbulent cross helicity; this production overcomes effective losses when shear exceeds a threshold set by the ratio of turbulent magnetic to momentum diffusivities.
ER  -