Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability

Weis, Matthew Robert; Zhang, Peng; Lau, Yue Ying; Rittersdorf, Ian; Zier, Jacob; Gilgenbach, Ronald; Peterson, Kyle J.

doi:10.1063/1.4904210

Title: Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability

Journal Article · Wed Dec 17 00:00:00 EST 2014 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4904210· OSTI ID:1183090

Weis, Matthew Robert ^[1]; Zhang, Peng ^[1]; Lau, Yue Ying ^[1]; Rittersdorf, Ian ^[1]; Zier, Jacob ^[1]; Gilgenbach, Ronald ^[1]; Peterson, Kyle J. ^[2]

Univ. of Michigan, Ann Arbor, MI (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000; SC0002590

OSTI ID:: 1183090

Alternate ID(s):: OSTI ID: 1226615

Report Number(s):: SAND-2014-16797J; 536662

Journal Information:: Physics of Plasmas, Vol. 21, Issue 12; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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