Aspects of linear Landau damping in discretized systems

Vasil Bratanov; Frank Jenko; David Hatch; Stephan Brunner

doi:10.1063/1.4792163

journal article Feb 01, 2013

Aspects of linear Landau damping in discretized systems

Vasil Bratanov Frank Jenko David Hatch Stephan Brunner

Physics of Plasmas Vol. 20 No. 2 · AIP Publishing

View at Publisher Save 10.1063/1.4792163

Abstract

Basic linear eigenmode spectra for electrostatic Langmuir waves and drift-kinetic slab ion temperature gradient modes are examined in a series of scenarios. Collisions are modeled via a Lenard-Bernstein collision operator which fundamentally alters the linear spectrum even for infinitesimal collisionality [Ng et al., Phys. Rev. Lett. 83, 1974 (1999)]. A comparison between different discretization schemes reveals that a Hermite representation is superior for accurately resolving the spectra compared to a finite differences scheme using an equidistant velocity grid. Additionally, it is shown analytically that any even power of velocity space hyperdiffusion also produces a Case-Van Kampen spectrum which, in the limit of zero hyperdiffusivity, matches the collisionless Landau solutions.

Topics

No keywords indexed for this article. Browse by subject →

References

33

[1]

J. Phys. USSR (1946)

[2]

Phys. Rev. Lett. (1964) 10.1103/physrevlett.13.184

[3]

On the theory of stationary waves in plasmas

N.G. Van Kampen

Physica 1955 10.1016/s0031-8914(55)93068-8

[4]

Phys. Rev. (1958) 10.1103/physrev.112.1456

[5]

Phys. Rev. Lett. (1999) 10.1103/physrevlett.83.1974

[6]

Phys. Plasmas (2002) 10.1063/1.1492805

[7]

Phys. Plasmas (2000) 10.1063/1.874014

[8]

Phys. Plasmas (2008) 10.1063/1.2909618

[9]

Phys. Plasmas (2010) 10.1063/1.3495976

[10]

Phys. Plasmas (2011) 10.1063/1.3563536

[11]

Comput. Phys. Commun. (2012) 10.1016/j.cpc.2011.12.018

[12]

Phys. Plasmas (2005) 10.1063/1.1947447

[13]

Phys. Plasmas (2005) 10.1063/1.2044587

[14]

Phys. Plasmas (2007) 10.1063/1.2800869

[15]

Phys. Rev. Lett. (2008) 10.1103/physrevlett.100.035005

[16]

Nucl. Fusion (2010) 10.1088/0029-5515/50/5/054005

[17]

Phys. Rev. Lett. (2011) 10.1103/physrevlett.106.115003

[18]

Phys. Plasmas (2006) 10.1063/1.2168453

[19]

Phys. Rev. Lett. (2012) 10.1103/physrevlett.109.235003

[20]

Reed (1978)

[21]

J. Phys. A: Math. Gen. (1999) 10.1088/0305-4470/32/31/308

[22]

Van Kampen (1967)

[23]

Ann. Phys. (N.Y.) (1959) 10.1016/0003-4916(59)90029-6

[24]

[25]

Phys. Fluids (1967) 10.1063/1.1762151

[26]

Comparisons and physics basis of tokamak transport models and turbulence simulations

A. M. Dimits, G. Bateman, M. A. Beer et al.

Physics of Plasmas 2000 10.1063/1.873896

[27]

Fried (1961)

[28]

Phys. Rev. A (1991) 10.1103/physreva.44.3856

[29]

Magnus (1966) 10.1007/978-3-662-11761-3

[30]

Phys. Rev. Lett. (1998) 10.1103/physrevlett.81.5820

[31]

(2012)

[32]

Comput. Phys. Commun. (2010) 10.1016/j.cpc.2010.04.010

[33]

Metrics

17

Citations

33

References

Details

Published: Feb 01, 2013
Vol/Issue: 20(2)

Authors

V

Vasil Bratanov

Max-Planck-Institut für Plasmaphysik, EURATOM Association 1 , 85748 Garching, Germany

F

Frank Jenko

Max-Planck-Institut für Plasmaphysik, EURATOM Association 1 , 85748 Garching, Germany

D

David Hatch

Max-Planck-Institut für Plasmaphysik, EURATOM Association 1 , 85748 Garching, Germany

S

Stephan Brunner

Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne (EPFL), Association EURATOM - Confédération Suisse 2 , CH-1015 Lausanne, Switzerland

Cite This Article

Vasil Bratanov, Frank Jenko, David Hatch, et al. (2013). Aspects of linear Landau damping in discretized systems. Physics of Plasmas, 20(2). https://doi.org/10.1063/1.4792163

Aspects of linear Landau damping in discretized systems

You May Also Like