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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 ISSN 0741-3335.
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Official URL: http://dx.doi.org/10.1088/0741-3335/52/7/075011
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, Engineering and Medicine > 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: |
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| 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) |
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