Instability and turbulent relaxation in a stochastic magnetic field

Cao, Mingyun; Diamond, Patrick H.

doi:10.1088/1361-6587/ac47d7

Title: Instability and turbulent relaxation in a stochastic magnetic field

Journal Article · 06 February 2022 · Plasma Physics and Controlled Fusion

DOI: https://doi.org/10.1088/1361-6587/ac47d7 · OSTI ID:1838453

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Univ. of California San Diego, La Jolla, CA (United States); UC San Diego
Univ. of California San Diego, La Jolla, CA (United States)

An analysis of instability dynamics in a stochastic magnetic field is presented for the tractable case of the resistive interchange. Externally prescribed static magnetic perturbations convert the eigenmode problem to a stochastic differential equation, which is solved by the method of averaging. The dynamics are rendered multi-scale, due to the size disparity between the test mode and magnetic perturbations. Maintaining quasi-neutrality at all orders requires that small-scale convective cell turbulence be driven by disparate scale interaction. Here, the cells in turn produce turbulent mixing of vorticity and pressure, which is calculated by fluctuation-dissipation type analyses, and are relevant to pump-out phenomena. The development of correlation between the ambient magnetic perturbations and the cells is demonstrated, showing that turbulence will 'lock on' to ambient stochasticity. Magnetic perturbations are shown to produce a magnetic braking effect on vorticity generation at large scale. Detailed testable predictions are presented. The relations of these findings to the results of available simulations and recent experiments are discussed.

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Research Organization:: Univ. of California San Diego, La Jolla, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-04ER54738

OSTI ID:: 1838453

Journal Information:: Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 3 Vol. 64; ISSN 0741-3335

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

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