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Boffetta G, Celani A, Prandi R. Large scale instabilities in two-dimensional magnetohydrodynamics. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000;61(4):4329-35doi: 10.1103/physreve.61.4329.
Boffetta, G., Celani, A., & Prandi, R. (2000). Large scale instabilities in two-dimensional magnetohydrodynamics. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 61(4), 4329-35. https://doi.org/10.1103/physreve.61.4329
Boffetta, et al. "Large scale instabilities in two-dimensional magnetohydrodynamics." Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics vol. 61,4 (2000): 4329-35. doi: https://doi.org/10.1103/physreve.61.4329
Boffetta G, Celani A, Prandi R. Large scale instabilities in two-dimensional magnetohydrodynamics. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Apr;61(4):4329-35. doi: 10.1103/physreve.61.4329. PMID: 11088230.
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Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Apr;61(4):4329-35. doi: 10.1103/physreve.61.4329.

Large scale instabilities in two-dimensional magnetohydrodynamics.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Boffetta, Celani, Prandi

Affiliations

  1. Dipartimento di Fisica Generale, Universita di Torino, via Pietro Giuria 1, 10125 Torino, ItalyINFM, Unita di Torino, Torino, Italy.

PMID: 11088230 DOI: 10.1103/physreve.61.4329

Abstract

The stability of a sheared magnetic field is analyzed in two-dimensional magnetohydrodynamics with resistive and viscous dissipation. Using a multiple-scale analysis, it is shown that at large enough Reynolds numbers the basic state describing a motionless fluid and a layered magnetic field, becomes unstable with respect to large scale perturbations. The exact expressions for eddy-viscosity and eddy-resistivity are derived in the nearby of the critical point where the instability sets in. In this marginally unstable case the nonlinear phase of perturbation growth obeys to a Cahn-Hilliard-like dynamics characterized by coalescence of magnetic islands leading to a final new equilibrium state. High resolution numerical simulations confirm quantitatively the predictions of multiscale analysis.

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