Abstract
An analytic approach combining the effect of equilibrium diamagnetic flows and the finite ionsound gyroradius associated with electron−ion decoupling and kinetic Alfvén wave dispersion is derived to study resistive drift instabilities in a plasma slab. Linear numerical computations using the NIMROD code are performed with cold ions and hot electrons in a plasma slab with a doubly periodic box bounded by two perfectly conducting walls. A linearly unstable resistive drift mode is observed in computations with a growth rate that is consistent with the analytic dispersion relation. The resistive drift mode is expected to be suppressed by magnetic shear in unbounded domains, but the mode is observed in numerical computations with and without magnetic shear. In the slab model, the finite slab thickness and the perfectly conducting boundary conditions are likely to account for the lack of suppression.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. V. Mirnov, C. C. Hegna, J. P. Sauppe, and C. R. Sovinec, Bull. APS 57, 90 (2012).
D. Grasso, M. Ottaviani, and F. Porcelli, Phys. Plasmas 8, 4306 (2001).
D. Grasso, M. Ottaviani, and F. Porcelli, Nucl. Fusion 42, 1067 (2002).
S. S. Moiseev and R. Z. Sagdeev, Zh. Tekh. Fiz. 34, 248 (1964).
A. B. Mikhailovskii, Nucl. Fusion 12, 55 (1972).
A. B. Mikhailovskii, Electromagnetic Instabilities in an Inhomogeneous Plasma (Atomizdat, Moscow, 1971; IOP, Bristol, 1992).
M. Ottaviani, F. Porcelli, and D. Grasso, Phys. Rev. Lett. 93, 075001 (2004).
F. Waelbroeck, J. Connor, and H. Wilson, Phys. Rev. Lett. 87, 215003 (2001).
G. Ara, B. Basu, B. Coppi, G. Laval, M. N. Rosenbluth, and B. V. Waddel, Ann. Phys. 112, 443 (1978).
V. V. Mirnov, C. C. Hegna, and S. C. Prager, Phys. Plasmas 11, 4468 (2004).
P. K. Kaw and P. Guzdar, Report No. PPPL-1526 (Princeton Plasma Physics Laboratory, Princeton, NJ, 1979).
T. M. Antonsen, Phys. Rev. Lett. 41, 33 (1979).
E. Tassi, F. L. Waelbroeck, and D. Grasso, J. Phys. Conf. Ser. 260, 012020 (2010).
B.N. Kuvshinov, Plasma Phys. Controlled Fusion 36, 867 (1994).
J. Weiland, Collective Modes in Inhomogeneous Plasma (IOP, Bristol, 2000).
R. C. Sovinec, A. H. Glasser, T. H. Gianakon, D. C. Barnes, R. A. Nebel, S. E. Kruger, D. D. Schnack, S. J. Plimpton, A. Tarditi, M. S. Chu, J. Comput. Phys. 195, 355 (2004).
R. C. Sovinec, J. R. King, J. Comput. Phys. 229, 5803 (2010).
P. Zhu, D. D. Schnack, F. Ebrahimi, E. G. Zweibel, M. Suzuki, C. C. Hegna, and C. R. Sovinec, Phys. Rev. Lett. 101, 085005 (2008).
D. D. Schnack, J. Cheng, D. C. Barnes, and S. E. Parker, Phys. Plasmas 20, 062106 (2013).
R. J. Goldstone and P. H. Rutherford, Introduction to Plasma Physics (Taylor & Francis, New York, 1995).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Mirnov, V.V., Sauppe, J.P., Hegna, C.C. et al. Analytical and numerical treatment of resistive drift instability in a plasma slab. Plasma Phys. Rep. 42, 440–449 (2016). https://doi.org/10.1134/S1063780X16050123
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X16050123