A generalized effective potential for differentially rotating plasmas

Ebrahimi, Fatima; Haywood, Alexander

doi:10.1063/5.0251633

A generalized effective potential for differentially rotating plasmas

Journal Article · Fri Mar 14 00:00:00 EDT 2025 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0251633· OSTI ID:2530997

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Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Princeton Univ., NJ (United States)

Global stability of differentially rotating plasma is investigated using a generalized effective potential. We first, for a current-free system, obtain a general form of an effective potential in terms of the free energies of global curvature and gradients of rotation for non-axisymmetric disturbances. We then examine the stability of differentially rotating disks for several rotation profiles and present the associated effective potential for the onset of these instabilities in the MHD regime. In particular, results for global axisymmetric magnetorotational instability as well as local and global non-axisymmetric modes are presented. The latter constitute two distinct non-axisymmetric modes, a high frequency local MRI and a global low-frequency non-axisymmetric mode (the magneto-curvature mode, introduced in Ebrahimi and Pharr [Astrophys. J. 936, 145 (2022)]), confined either between two Alfvénic resonances or an Alfvénic resonance and a boundary.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 2530997

Alternate ID(s):: OSTI ID: 2547000

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 32; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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