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Recovering the Damping Rates of Cyclotron Damped Plasma Waves from Simulation Data

Part of: Time-dependent statistical mechanics (dynamic and nonequilibrium) Partial differential equations, initial value and time-dependent initial-boundary value problems Astronomy and astrophysics Numerical methods in Fourier analysis

Published online by Cambridge University Press:  08 March 2017

Cedric Schreiner ,
Patrick Kilian  and
Felix Spanier
Cedric Schreiner*
Affiliation:
Centre for Space Research, North-West University, Potchefstroom 2520, South Africa Lehrstuhl für Astronomie, Universität Würzburg, 97074 Würzburg, Germany
Patrick Kilian*
Affiliation:
Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
Felix Spanier*
Affiliation:
Centre for Space Research, North-West University, Potchefstroom 2520, South Africa
*
*Corresponding author. Email addresses:[email protected] (C. Schreiner), [email protected] (P. Kilian), [email protected] (F. Spanier)
*Corresponding author. Email addresses:[email protected] (C. Schreiner), [email protected] (P. Kilian), [email protected] (F. Spanier)
*Corresponding author. Email addresses:[email protected] (C. Schreiner), [email protected] (P. Kilian), [email protected] (F. Spanier)
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Abstract

Plasma waves with frequencies close to the particular gyrofrequencies of the charged particles in the plasma lose energy due to cyclotron damping. We briefly discuss the gyro-resonance of low frequency plasma waves and ions particularly with regard to particle-in-cell (PiC) simulations. A setup is outlined which uses artificially excited waves in the damped regime of the wave mode's dispersion relation to track the damping of the wave's electromagnetic fields. Extracting the damping rate directly fromthe field data in real or Fourier space is an intricate and non-trivial task. We therefore present a simple method of obtaining the damping rate Γ from the simulation data. This method is described in detail, focusing on a step-by-step explanation of the course of actions. In a first application to a test simulation we find that the damping rates obtained from this simulation generally are in good agreement with theoretical predictions. We then compare the results of one-, two- and three-dimensional simulation setups and simulations with different physical parameter sets.

Keywords

Simulationspace physicsplasmacyclotron resonancewave damping

MSC classification

Secondary: 65M75: Probabilistic methods, particle methods, etc. 65T99: None of the above, but in this section 82C10: Quantum dynamics and nonequilibrium statistical mechanics (general) 85A30: Hydrodynamic and hydromagnetic problems
Type
Research Article
Information
Communications in Computational Physics , Volume 21 , Issue 4 , April 2017 , pp. 947 - 980
Copyright
Copyright © Global-Science Press 2017 

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References

[1] Koen, E. J., Collier, A. B. and Maharaj, S. K., in Proceedings of SAIP2012: the 57th Annual Conference of the South African Institute of Physics, pp. 400 (2012).Google Scholar
[2] Kilian, P., Burkart, T. and Spanier, F., in Nagel, W. E., Kröner, D. B. and Resch, M. M. (Eds.), High Performance Computing in Science and Engineering ’11, Springer Berlin Heidelberg (2012), doi:10.1007/978-3-642-23869-7 Google Scholar
[3] Schreiner, C. and Spanier, F., Comp. Phys. Commun., 185, 1981 (2014), doi:10.1016/j.cpc.2014.03.028 Google Scholar
[4] Chen, L., Thorne, R. M., Shprits, Y. and Ni, B., J. Geophys. Res. - Space, 118, 2185 (2013), doi:10.1002/jgra.50260 Google Scholar
[5] Kennel, C. and Petschek, H., J. Geophys. Res., 71(1), 1 (1966), doi:10.1029/JZ071i001p00001 CrossRefGoogle Scholar
[6] Fried, B. D. and Conte, S. D., The plasma dispersion function, Academic Press (1961).Google Scholar
[7] Stix, T. H., The Theory of Plasma Waves, McGawn-Hill (1962).Google Scholar
[8] Gary, S. P. and Nishimura, K., J. Geophys. Res., 109, A2 (2004), doi:10.1029/2003JA010239Google Scholar
[9] Li, H., Gary, S. P. and Stawicki, O., Geophys. Res. Lett., 28 (7), 1347 (2001), doi:10.1029/2000GL012501 CrossRefGoogle Scholar
[10] Huba, J. D., Book, D., Burn, T. and Scott, R., NRL Plasma Formulary, Naval Research Laboratory (2007).Google Scholar