Ruderman, M.S. (2018) Negative energy standing wave instability in the presence of flow. Journal of Plasma Physics, 84 (1). ISSN 0022-3778
Abstract
We study standing waves on the surface of a tangential discontinuity in an incompressible plasma. The plasma is moving with constant velocity at one side of the discontinuity, while it is at rest at the other side. The moving plasma is ideal and the plasma at rest is viscous. We only consider the long wavelength limit where the viscous Reynolds number is large. A standing wave is a superposition of a forward and a backward wave. When the flow speed is between the critical speed and the Kelvin-Helmholtz threshold the backward wave is a negative energy wave, while the forward wave is always a positive energy wave. We show that viscosity causes the standing wave to grow. Its increment is equal to the difference between the negative energy wave increment and the positive energy wave decrement.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 Cambridge University Press. |
Keywords: | plasma flows; plasma instabilities; plasma waves |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 20 Jun 2018 14:27 |
Last Modified: | 20 Jun 2018 14:27 |
Published Version: | https://doi.org/10.1017/S0022377817000964 |
Status: | Published |
Publisher: | Cambridge University Press |
Refereed: | Yes |
Identification Number: | 10.1017/S0022377817000964 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132182 |