Three-dimensional modeling of the radiation belts using the versatile electron radiation belt (verb) code

Space Weather

Volumn 7, Issue 10, 2009, Pages

  Subbotin, D A ^a   Shprits, Y Y ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70350158351     PISSN: 15427390     EISSN: 15427390     Source Type: Journal    
DOI: 10.1029/2008SW000452     Document Type: Article

References (56)

1. Albert, J. M. (2005), Evaluation of quasi-linear diffusion coefficients for whistler mode waves in a plasma with arbitrary density ratio, J. Geophys. Res., 110, A03218, doi:10.1029/2004JA010844. (Pubitemid 44558285)
2. Albert, J. M. (2007), Simple approximations of quasi-linear diffusion coefficients, J. Geophys. Res., 112, A12202, doi:10.1029/2007JA012551.
3. Albert, J. M., and S. L. Young (2005), Multidimensional quasi-linear diffusion of radiation belt electrons, Geophys. Res. Lett., 32, L14110, doi:10.1029/2005GL023191. (Pubitemid 41372559)
4. Brautigam, D. H., and J. M. Albert (2000), Radial diffusion analysis of outer radiation belt electrons during the October 9, 1990, magnetic storm, J. Geophys. Res., 105(A1), 291-309.
5. Carpenter, D. L., and R. R. Anderson (1992), An ISEE/whistler model of equatorial electron density in the magnetosphere, J. Geophys. Res., 97(A2), 1097-1108.
6. Chiu, Y., R. Nightingale, and M. Rinaldi (1988), Simultaneous radial and pitch angle diffusion in the outer electron radiation belt, J. Geophys. Res., 93(A4), 2619-2632.
7. Cully, C. M., J. W. Bonnell, and R. E. Ergun (2008), THEMIS observations of long-lived regions of large-amplitude whistler waves in the inner magnetosphere, Geophys. Res. Lett., 35, L17S16, doi:10.1029/ 2008GL033643.
8. Fälthammar, C.-G. (1965), Effects of time-dependent electric fields on geomagnetically trapped radiation, J. Geophys. Res., 70(11), 2503-2516.
9. Farley, T. A. (1969), Radial diffusion of electrons at low L values, J. Geophys. Res., 74(1), 377-380.
10. Fok, M.-C., R. B. Horne, N. P. Meredith, and S. A. Glauert (2008), Radiation belt environment model: Application to space weather nowcasting, J. Geophys. Res., 113, A03S08, doi:10.1029/2007JA012558.
11. Glauert, S. A., and R. B. Horne (2005), Calculation of pitch angle and energy diffusion coefficients with the PADIE code, J. Geophys. Res., 110, A04206, doi:10.1029/2004JA010851. (Pubitemid 44228236)
12. Horne, R. B., N. P. Meredith, R. M. Thorne, D. Heynderickx, R. H. A. Iles, and R. R. Anderson (2003), Evolution of energetic electron pitch angle distributions during storm time electron acceleration to megaelectronvolt energies, J. Geophys. Res., 108(A1), 1016, doi:10.1029/2001JA009165.
13. Jacobs, J., Y. Kato, S. Matsushita, and V. Troitskaya (1964), Classification of geomagnetic micropulsations, J. Geophys. Res., 69(1), 180-181.
14. Kalman, R. E. (1960), A new approach to linear filtering and prediction problems, J. Basic Eng., 82, 35-45.
15. Kavanagh, L. D., Jr. (1968), An empirical evaluation of radial diffusion coefficients for electrons of 50 - 100 kev from L = 4 to L = 7, J. Geophys. Res., 73(9), 2959-2965.
16. Kennel, C. F. (1969), Consequences of a magnetospheric plasma, Rev. Geophys., 7, 379-419.
17. Kennel, C. F., and F. Engelmann (1966), Velocity space diffusion from weak plasma turbulence in a magnetic field, Phys. Fluids, 9, 2377-2388.
18. Kondrashov, D., Y. Shprits, M. Ghil, and R. Thorne (2007), A Kalman filter technique to estimate relativistic electron lifetimes in the outer radiation belt, J. Geophys. Res., 112, A10227, doi:10.1029/ 2007JA012583.
19. Lanzerotti, L. J., and C. G. Morgan (1973), ULF geomagnetic power near L = 4, 2: Temporal variation of the radial diffusion coefficient for relativistic electrons, J. Geophys. Res., 78(22), 4600-4610.
20. Lanzerotti, L. J., C. G. Maclennan, and M. Schulz (1970), Radial diffusion of outer-zone electrons: An empirical approach to third-invariant violation, J. Geophys. Res., 75(28), 5351-5371.
21. Lanzerotti, L. J., D. C. Webb, and C. W. Arthur (1978), Geomagnetic field fluctuations at synchronous orbit: 2. Radial diffusion, J. Geophys. Res., 83(A8), 3866-3870.
22. Lenchek, A., S. Singer, and R. Wentworth (1961), Geomagnetically trapped electrons from cosmic ray albedo neutrons, J. Geophys. Res., 66(12), 4027-4046.
23. Lerche I. (1968), Quasilinear theory of resonant diffusion in a magneto- active, relativistic plasma, Phys. Fluids, 11, 1720-1727.
24. Li, W., Y. Y. Shprits, and R. M. Thorne (2007), Dynamic evolution of energetic outer zone electrons due to wave-particle interactions during storms, J. Geophys. Res., 112, A10220, doi:10.1029/ 2007JA012368.
25. Lyons, L. R. (1974a), General relations for resonant particle diffusion in pitch angle and energy, J. Plasma Phys., 12, 45-49.
26. Lyons, L. R. (1974b), Pitch angle and energy diffusion coefficients from resonant interactions with ion-cyclotron and whistler waves, J. Plasma Phys., 12, 417-432.
27. Lyons, L. R., R. M. Thorne, and C. F. Kennel (1971), Electron pitchangle diffusion driven by oblique whistler-mode turbulence,J. Plasma Phys., 6, 589-606.
28. Meredith, N. P., R. B. Horne, M. A. Clilverd, D. Horsfall, R. M. Thorne, and R. R. Anderson (2006), Origins of plasmaspheric hiss, J. Geophys. Res., 111, A09217, doi:10.1029/2006JA011707.
29. Newkirk, L. L., and M. Walt (1968a), Radial diffusion coefficient for electrons at low L values, J. Geophys. Res., 73(3), 1013-1017.
30. Newkirk, L. L., and M. Walt (1968b), Radial diffusion coefficient for electrons at 1.76 < L < 5, J. Geophys. Res., 73(23), 7231-7236.
31. Perry, K. L., M. K. Hudson, and S. R. Elkington (2005), Incorporating spectral characteristics of Pc5 waves into three-dimensional radiation belt modeling and the diffusion of relativistic electrons, J. Geophys. Res., 110, A03215, doi:10.1029/2004JA010760, (Pubitemid 44237763)
32. (Correction, J. Geophys. Res., 111, A11228, doi:10.1029/2006JA012040, 2006.).
33. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling (1992), Numerical Recipes in C, 2nd ed., Cambridge Univ. Press, Cambridge, U. K.
34. Roederer, J. G. (1970), Dynamics of Geomagnetically Trapped Radiation, Springer, New York.
35. Schulz, M., and L. J. Lanzerotti (1974), Particle Diffusion in the Radiation Belts, Springer, New York.
36. Sheeley, B. W., M. B. Moldwin, H. K. Rassoul, and R. R. Anderson (2001), An empirical plasmasphere and trough density model: CRRES observations, J. Geophys. Res., 106(A11), 25,631-25,641.
37. Shprits, Y. Y., and R. M. Thorne (2004), Time dependent radial diffusion modeling of relativistic electrons with realistic loss rates, Geophys. Res. Lett., 31, L08805, doi:10.1029/2004GL019591. (Pubitemid 38893051)
38. Shprits, Y. Y., R. M. Thorne, G. D. Reeves, and R. Friedel (2005), Radial diffusion modeling with empirical lifetimes: Comparison with CRRES observations, Ann. Geophys., 23, 1467-1471.
39. Shprits, Y. Y., R. M. Thorne, R. B. Horne, and D. Summers (2006a), Bounce-averaged diffusion coefficients for field-aligned chorus waves, J. Geophys. Res., 111, A10225, doi:10.1029/2006JA011725.
40. Shprits, Y. Y., R. M. Thorne, R. Friedel, G. D. Reeves, J. Fennell, D. N. Baker, and S. G. Kanekal (2006b), Outward radial diffusion driven by losses at magnetopause, J. Geophys. Res., 111, A11214, doi:10.1029/2006JA011657.
41. Shprits, Y., D. Kondrashov, Y. Chen, R. Thorne, M. Ghil, R. Friedel, and G. Reeves (2007), Reanalysis of relativistic radiation belt electron fluxes using CRRES satellite data, a radial diffusion model, and a Kalman filter, J. Geophys. Res., 112, A12216, doi:10.1029/2007JA012579.
42. Shprits, Y. Y., S. R. Elkington, N. P. Meredith, and D. A. Subbotin (2008a), Review of modeling of losses and sources of relativistic electrons in the outer radiation belt I: Radial transport, J. Atmos. Sol. Terr. Phys., 70, 1679-1693, doi:10.1016/j.jastp.2008.06.008.
43. Shprits, Y. Y., D. A. Subbotin, N. P. Meredith, and S. R. Elkington (2008b), Review of modeling of losses and sources of relativistic electrons in the outer radiation belt II: Local acceleration and loss, J. Atmos. Sol. Terr. Phys., 70, 1694 -1713, doi:10.1016/ j.jastp.2008.06.014.
44. Shprits, Y. Y., L. Chen, and R. M. Thorne (2009a), Simulations of pitch angle scattering of relativistic electrons with MLT-dependent diffusion coefficients, J. Geophys. Res., 114, A03219, doi:10.1029/ 2008JA013695.
45. Shprits, Y. Y., D. Subbotin, and B. Ni (2009b), Evolution of electron fluxes in the outer radiation belt computed with the VERB code, J. Geophys. Res., doi:10.1029/2009JA014439, in press.
46. Summers, D. (2005), Quasi-linear diffusion coefficients for fieldaligned electromagnetic waves with applications to the magnetosphere, J. Geophys. Res., 110, A08213, doi:10.1029/2005JA011159. (Pubitemid 44116623)
47. Thorne, R. M., Y. Y. Shprits, N. P. Meredith, R. B. Horne, W. Li, and L. R. Lyons (2007), Refilling of the slot region between the inner and outer electron radiation belts during geomagnetic storms, J. Geophys. Res., 112, A06203, doi:10.1029/2006JA012176.
48. Tomassian, A. D., T. A. Farley, and A. L. Vampola (1972), Inner-zone energetic-electron repopulation by radial diffusion, J. Geophys. Res., 77(19), 3441-3454.
49. Ukhorskiy, A. Y., K. Takahashi, B. J. Anderson, and H. Korth (2005), Impact of toroidal ULF waves on the outer radiation belt electrons, J. Geophys. Res., 110, A10202, doi:10.1029/2005JA011017. (Pubitemid 44971556)
50. Ukhorskiy, A. Y., B. J. Anderson, K. Takahashi, and N. A. Tsyganenko (2006), Impact of ULF oscillations in solar wind dynamic pressure on the outer radiation belt electrons, Geophys. Res. Lett., 33, L06111,doi:10.1029/ 2005GL024380.
51. Van Allen, J. A., and L. A. Frank (1959), Radiation around the Earth to a radial distance of 107,400 km, Nature, 183, 430-434.
52. Varotsou, A., D. Boscher, S. Bourdarie, R. B. Horne, S. A. Glauert, and N. P. Meredith (2005), Simulation of the outer radiation belt electrons near geosynchronous orbit including both radial diffusion and resonant interaction with whistler-mode chorus waves, Geophys. Res. Lett., 32, L19106, doi:10.1029/2005GL023282.
53. Varotsou, A., D. Boscher, S. Bourdarie, R. B. Horne, N. P. Meredith, S. A. Glauert, and R. H. Friedel (2008), Three-dimensional test simulations of the outer radiation belt electron dynamics including electron-chorus resonant interactions, J. Geophys. Res., 113, A12212, doi:10.1029/2007JA012862.
54. Walt, M. (1994), Introduction to Geomagnetically Trapped Radiation, Cambridge Univ. Press, New York.
55. West, H. I., Jr., R. M. Buck, and G. T. Davidson (1981), The dynamics of energetic electrons in the Earth's outer radiation belt during 1968 as observed by the Lawrence Livermore National Laboratory's spectrometer on Ogo 5, J. Geophys. Res., 86(A4), 2111-2142.
56. Y. Y. Shprits and D. A. Subbotin, Department of Atmospheric and Oceanic Sciences, University of California, 405 Hilgard Avenue, 7127 Math Sciences Building, Los Angeles, CA 90095-91565, USA. (subbotin@atmos.ucla.edu)