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A code to solve the Vlasov-Fokker-Planck equation applied to particle transport in magnetic turbulence

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Hornsby, W. A., Bell, A. R., Kingham, R. J. and Dendy, R. O. (2010) A code to solve the Vlasov-Fokker-Planck equation applied to particle transport in magnetic turbulence. Plasma Physics and Controlled Fusion, Vol.52 (No.7). Article no. 075011. doi:10.1088/0741-3335/52/7/075011

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Official URL: http://dx.doi.org/10.1088/0741-3335/52/7/075011

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Abstract

We present a novel code which solves the Vlasov-Fokker-Planck (VFP) equation in three-dimensional magnetic turbulence using finite difference methods. The approach is distinct from particle tracking codes. The angular component of the velocity space distribution function is represented by a spherical harmonic expansion drawing on an approach pioneered by Bell et al (2006 Plasma Phys. Control. Fusion 48 R37) for laser-plasma interaction simulations. This method enables the accurate representation of magnetic fields and of the effect of angular scattering effects on a particle distribution function. The code has been verified against both collisional and quasi-linear turbulent transport theories. It is shown to address successfully the physics of cross-field transport in regimes of magnetic field field perturbation amplitude and collisionality that are difficult to study using other approaches.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Journal or Publication Title: Plasma Physics and Controlled Fusion
Publisher: Institute of Physics Publishing Ltd.
ISSN: 0741-3335
Official Date: July 2010
Dates:
DateEvent
July 2010Published
Volume: Vol.52
Number: No.7
Number of Pages: 14
Page Range: Article no. 075011
DOI: 10.1088/0741-3335/52/7/075011
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Engineering and Physical Sciences Research Council (EPSRC), European Communities
Grant number: EP/G003955 (EPSRC)

Data sourced from Thomson Reuters' Web of Knowledge

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