The coupling of quasi-linear pitch angle and energy diffusion

Journal of Atmospheric and Solar-Terrestrial Physics

Volumn 71, Issue 16, 2009, Pages 1664-1668

  Albert, Jay M ^a  

^a AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

Cross diffusion; Diffusion coefficients; Wave particle interactions

Indexed keywords

ANGLE DISTRIBUTION; CROSS DIFFUSION; CROSS-TERMS; DIFFUSION COEFFICIENTS; ENERGY DIFFUSION; NUMERICAL PROBLEMS; NUMERICAL SIMULATION; PITCH ANGLE; QUASI-LINEAR; SIMPLE MODEL; TIME-DEPENDENT DIFFUSION; WAVE FREQUENCIES; WAVE-PARTICLE INTERACTIONS;

COMPUTER SIMULATION; PARTICLE INTERACTIONS; STEADY FLOW; WAVE PLASMA INTERACTIONS;

DIFFUSION;

EID: 70349779705     PISSN: 13646826     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jastp.2008.11.014     Document Type: Article

References (22)

1. Abel B., and Thorne R.M. Electron scattering loss in Earth's inner magnetosphere, 1, dominant physical processes. Journal of Geophysical Research 103 (1998) 2385
2. Albert J.M. Using quasi-linear diffusion to model acceleration and loss from wave-particle interactions. Space Weather 2 (2004) S09S03 10.1029/2004SW000069
3. Albert J.M. Evaluation of quasi-linear diffusion coefficients for whistler mode waves in a low density plasma. Journal of Geophysical Research 110 (2005) A03218 10.1029/2004JA010844
4. Albert J.M., and Young S.L. Multidimensional quasi-linear diffusion of radiation belt electrons. Geophysical Research Letters 32 (2005) L14110 10.1029/2005GL023191
5. Beam R.M., and Warming R.F. Alternating direct implicit methods for parabolic equations with a mixed derivative. SIAM Journal on Scientific and Statistical Computing 1 (1980) 131
6. Gourlay A.R., and McKee S. The construction of hopscotch methods for parabolic and elliptic equations in two space dimensions with a mixed derivative. Journal of Computational and Applied Mathematics 3 (1977) 201
7. Horne R.B., Glauert S.A., and Thorne R.M. Resonant diffusion of radiation belt electrons by whistler-mode chorus. Geophysical Research Letters 30 9 (2003) 1493 10.1029/2003GL016963
8. Horne R.B., Thorne R.M., Glauert S.A., Albert J.M., Meredith N.P., and Anderson R.R. Timescale for radiation belt electron acceleration by whistler mode chorus waves. Journal of Geophysical Research 110 (2005) A03225 10.1029/2004JA010811
9. Lorentzen K.R., Blake J.B., Inan U.S., and Bortnik J. Observations of relativistic electron microbursts in association with VLF chorus. Journal of Geophysical Research 106 (2001) 6017 10.1029/2000JA003018
10. Lyons L.R. Pitch angle and energy diffusion coefficients from resonant interactions with ion-cyclotron and whistler waves. Journal of Plasma Physics 12 (1974) 417
11. Lyons L.R., Thorne R.M., and Kennel C.F. Pitch-angle diffusion of radiation belt electrons within the plasmasphere. Journal of Geophysical Research 77 (1972) 3455
12. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes (1992), Cambridge University Press, New York
13. Richtmyer R.D., and Morton K.W. Difference Methods for Initial-Value Problems (1967), Wiley, New York
14. Schulz M. The magnetosphere. In: Jacobs J.A. (Ed). Geomagnetism vol. 4 (1991), Academic, San Diego, CA 87-293
15. Schulz M., and Lanzerotti L.J. Particle Diffusion in the Radiation Belts (1974), Springer, New York
16. Shashkov M., and Steinberg S. Solving diffusion equations with rough coefficients in rough grids. Journal of Computational Physics 129 (1996) 383
17. Sommeijer B.P., Shampine L.F., and Verwer J.G. RKC: an explicit solver for parabolic PDEs. Journal of Computational and Applied Mathematics 88 (1997) 315
18. Summers D., Thorne R.M., and Xiao F. Relativistic theory of wave-particle resonant diffusion with application to electron acceleration in the magnetosphere. Journal of Geophysical Research 103(A9) 20 (1998) 487
19. Tao, X., Chan, A.A., Albert, J.M., Miller, J.A., 2008 Stochastic modeling of multidimensional diffusion in the radiation belts. Journal of Geophysical Research 113, A07212.
20. Thorne R.M., O'Brien T.P., Shprits Y.Y., Summers D., and Horne R.B. Timescale for MeV electron microburst loss during geomagnetic storms. Journal of Geophysical Research 110 (2005) A09202 10.1029/2004JA010882
21. Varotsou A., Boscher D., Bourdarie S., Horne R.B., Glauert S.A., and Meredith N.P. Simulation of the outer radiation belt electrons near geosynchronous orbit including both radial diffusion and resonant interaction with whistler-mode chorus waves. Geophysical Research Letters 32 (2005) L19106 10.1029/2005GL023282
22. Walker A.D.M. Plasma Waves in the Magnetosphere (1993), Springer, New York