Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability
Abstract
Using the ideal magnetohydrodynamic model, we calculate the temporal evolution of initial ripples on the boundaries of a planar plasma slab that is subjected to the magneto-Rayleigh-Taylor instability. The plasma slab consists of three regions. We assume that in each region the plasma density is constant with an arbitrary value and the magnetic field is also constant with an arbitrary magnitude and an arbitrary direction parallel to the interfaces. Then, the instability may be driven by a combination of magnetic pressure and kinetic pressure. Thus the general dispersion relation is derived, together with the feedthrough factor between the two interfaces. The temporal evolution is constructed from the superposition of the eigenmodes. Those previously established results are recovered in the various limits. Numerical examples are given on the temporal evolution of ripples on the interfaces of the finite plasma slab.
- Authors:
-
- Univ. of Michigan, Ann Arbor, MI (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1183090
- Alternate Identifier(s):
- OSTI ID: 1226615
- Report Number(s):
- SAND-2014-16797J
Journal ID: ISSN 1070-664X; 536662
- Grant/Contract Number:
- AC04-94AL85000; SC0002590
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 12; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Weis, Matthew Robert, Zhang, Peng, Lau, Yue Ying, Rittersdorf, Ian, Zier, Jacob, Gilgenbach, Ronald, Mark Harry Hess, and Peterson, Kyle J. Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability. United States: N. p., 2014.
Web. doi:10.1063/1.4904210.
Weis, Matthew Robert, Zhang, Peng, Lau, Yue Ying, Rittersdorf, Ian, Zier, Jacob, Gilgenbach, Ronald, Mark Harry Hess, & Peterson, Kyle J. Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability. United States. https://doi.org/10.1063/1.4904210
Weis, Matthew Robert, Zhang, Peng, Lau, Yue Ying, Rittersdorf, Ian, Zier, Jacob, Gilgenbach, Ronald, Mark Harry Hess, and Peterson, Kyle J. Wed .
"Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability". United States. https://doi.org/10.1063/1.4904210. https://www.osti.gov/servlets/purl/1183090.
@article{osti_1183090,
title = {Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability},
author = {Weis, Matthew Robert and Zhang, Peng and Lau, Yue Ying and Rittersdorf, Ian and Zier, Jacob and Gilgenbach, Ronald and Mark Harry Hess and Peterson, Kyle J.},
abstractNote = {Using the ideal magnetohydrodynamic model, we calculate the temporal evolution of initial ripples on the boundaries of a planar plasma slab that is subjected to the magneto-Rayleigh-Taylor instability. The plasma slab consists of three regions. We assume that in each region the plasma density is constant with an arbitrary value and the magnetic field is also constant with an arbitrary magnitude and an arbitrary direction parallel to the interfaces. Then, the instability may be driven by a combination of magnetic pressure and kinetic pressure. Thus the general dispersion relation is derived, together with the feedthrough factor between the two interfaces. The temporal evolution is constructed from the superposition of the eigenmodes. Those previously established results are recovered in the various limits. Numerical examples are given on the temporal evolution of ripples on the interfaces of the finite plasma slab.},
doi = {10.1063/1.4904210},
journal = {Physics of Plasmas},
number = 12,
volume = 21,
place = {United States},
year = {Wed Dec 17 00:00:00 EST 2014},
month = {Wed Dec 17 00:00:00 EST 2014}
}
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