B. Abel, R. M. Thorne, and A. L. Vampola, Energetic electron precipitation from the inner zone, Geophysical Research Letters, vol.2, issue.16, 1983.
DOI : 10.1029/97GL02055

O. Agapitov, A. Artemyev, V. Krasnoselskikh, Y. V. Khotyaintsev, D. Mourenas et al., Statistics of whistler mode waves in the outer radiation belt: Cluster STAFF-SA measurements, Journal of Geophysical Research: Space Physics, vol.82, issue.A32, pp.3407-3420, 2013.
DOI : 10.1029/0JGREA000082000A32005112000001
URL : https://hal.archives-ouvertes.fr/insu-01254438

O. Agapitov, A. Artemyev, D. Mourenas, Y. Kasahara, and V. Krasnoselskikh, Inner belt and slot region electron lifetimes and energization rates based on AKEBONO statistics of whistler waves, Journal of Geophysical Research: Space Physics, vol.69, issue.19, pp.2876-289310, 2014.
DOI : 10.1029/JZ069i019p03947
URL : https://hal.archives-ouvertes.fr/insu-01171195

A. Artemyev, O. Agapitov, D. Mourenas, V. Krasnoselskikh, and L. Zelenyi, Storm-induced energization of radiation belt electrons: Effect of wave obliquity, Geophysical Research Letters, vol.118, issue.4, pp.4138-4143, 2013.
DOI : 10.1002/jgra.50151
URL : https://hal.archives-ouvertes.fr/insu-01178863

A. Artemyev, D. Mourenas, O. Agapitov, and V. Krasnoselskikh, Parametric validations of analytical lifetime estimates for radiation belt electron diffusion by whistler waves, Annales Geophysicae, vol.31, issue.4, pp.599-62410, 2013.
DOI : 10.5194/angeo-31-599-2013

D. N. Baker, S. G. Kanekal, X. Li, S. P. Monk, J. Goldstein et al., An extreme distortion of the Van Allen belt arising from the ???Hallowe'en??? solar storm in 2003, Nature, vol.103, issue.7019, pp.878-88110, 2003.
DOI : 10.1029/2004SW000075

D. N. Baker, A Long-Lived Relativistic Electron Storage Ring Embedded in Earth's Outer Van Allen Belt, Science, vol.340, issue.6129, pp.186-190, 2013.
DOI : 10.1126/science.1233518

D. N. Baker, An impenetrable barrier to ultrarelativistic electrons in the Van Allen radiation belts, Nature, vol.118, issue.7528, pp.531-53410, 2014.
DOI : 10.1038/nature13956

M. A. Balikhin, M. Gedalin, G. D. Reeves, R. J. Boynton, and S. A. Billings, Time scaling of the electron flux increase at GEO: The local energy diffusion model vs observations, Journal of Geophysical Research: Space Physics, vol.29, issue.2, pp.1020810-1029, 2012.
DOI : 10.1029/2002GL016039

J. B. Blake, W. A. Kolasinski, R. W. Fillius, and E. G. Mullen, Injection of electrons and protons with energies of tens of MeV into L < 3 on 24 March 1991, Geophysical Research Letters, vol.72, issue.44, Supplement, pp.821-82410, 1991.
DOI : 10.1029/92GL00624

J. Bortnik, L. Chen, W. Li, R. M. Thorne, N. P. Meredith et al., Modeling the wave power distribution and characteristics of plasmaspheric hiss, Journal of Geophysical Research: Space Physics, vol.114, issue.4, pp.10-1029, 2011.
DOI : 10.1029/2008JA013353

D. H. Brautigam and J. M. Albert, Radial diffusion analysis of outer radiation belt electrons during the October 9, 1990, magnetic storm, Journal of Geophysical Research: Space Physics, vol.71, issue.44, pp.291-30910, 2000.
DOI : 10.1029/1999JA900344

L. Chen, W. Li, J. Bortnik, and R. M. Thorne, Amplification of whistler-mode hiss inside the plasmasphere, Geophysical Research Letters, vol.116, issue.8, pp.10-1029, 2012.
DOI : 10.1029/2010JA016240

Y. T. Chiu, R. W. Nightingale, and M. A. Rinaldi, Simultaneous radial and pitch angle diffusion in the outer electron radiation belt, Journal of Geophysical Research, vol.73, issue.13, pp.2619-263210, 1988.
DOI : 10.1029/JA093iA04p02619

C. G. Falthammar, Effects of time-dependent electric fields on geomagnetically trapped radiation, Journal of Geophysical Research, vol.69, issue.11, pp.2503-251610, 1965.
DOI : 10.1029/JZ070i011p02503

J. F. Fennell, S. G. Claudepierre, J. B. Blake, T. P. O-'brien, J. H. Clemmons et al., Van Allen Probes show that the inner radiation zone contains no MeV electrons: ECT/MagEIS data, Geophysical Research Letters, vol.24, issue.A8, pp.1283-128910, 1002.
DOI : 10.1016/0032-0633(76)90032-5

C. Gabrielse, V. Angelopoulos, A. Runov, and D. L. Turner, The effects of transient, localized electric fields on equatorial electron acceleration and transport toward the inner magnetosphere, Journal of Geophysical Research: Space Physics, vol.116, issue.A8, pp.1021310-1029, 2012.
DOI : 10.1029/2010JA016165

S. A. Glauert, R. B. Horne, and N. P. Meredith, Three-dimensional electron radiation belt simulations using the BAS Radiation Belt Model with new diffusion models for chorus, plasmaspheric hiss, and lightning-generated whistlers, Journal of Geophysical Research: Space Physics, vol.20, issue.1, pp.268-28910, 1002.
DOI : 10.1029/2007JA01286

R. Gubby and J. Evans, Space environment effects and satellite design, Journal of Atmospheric and Solar-Terrestrial Physics, vol.64, issue.16, pp.1723-173310, 2002.
DOI : 10.1016/S1364-6826(02)00122-0

R. B. Horne, R. M. Thorne, S. A. Glauert, J. M. Albert, N. P. Meredith et al., Timescale for radiation belt electron acceleration by whistler mode chorus waves, Journal of Geophysical Research, vol.66, issue.24, p.322510, 1029.
DOI : 10.1029/2004JA010811

R. B. Horne, S. A. Glauert, N. P. Meredith, D. Boscher, V. Maget et al., Space weather impacts on satellites and forecasting the Earth's electron radiation belts with SPACECAST, Space Weather, pp.169-186, 2013.

C. F. Kennel and H. E. Petschek, Limit on stably trapped particle fluxes, Limit on stably trapped particle fluxes, pp.1-2810, 1966.
DOI : 10.1029/JZ071i001p00001

A. C. Kellerman, Y. Y. Shprits, D. Kondrashov, D. Subbotin, R. A. Makarevich et al., Three-dimensional data assimilation and reanalysis of radiation belt electrons: Observations of a four-zone structure using five spacecraft and the VERB code, Journal of Geophysical Research: Space Physics, vol.118, issue.9, pp.8764-878310, 1002.
DOI : 10.1002/jgra.50564

K. Kim and Y. Shprits, Radial gradients of phase space density in the inner electron radiation, Journal of Geophysical Research: Space Physics, vol.115, issue.A12, pp.10-1029, 2012.
DOI : 10.1029/2009JA014423

X. Li, I. Roth, M. Temerin, J. R. Wygant, M. K. Hudson et al., Simulation of the prompt energization and transport of radiation belt particles during the March 24, 1991 SSC, Geophysical Research Letters, vol.87, issue.22, pp.2423-242610, 1029.
DOI : 10.1029/93GL02701

X. Li, D. N. Baker, S. G. Kanekal, M. Looper, and M. Temerin, Long term measurements of radiation belts by SAMPEX and their variations, Geophysical Research Letters, vol.97, issue.20, pp.3827-383010, 2001.
DOI : 10.1029/2001GL013586

X. Li, D. N. Baker, T. P. O-'brien, L. Xie, and Q. G. Zong, Correlation between the inner edge of outer radiation belt electrons and the innermost plasmapause location, Geophysical Research Letters, vol.31, issue.4, pp.1410710-1029, 2006.
DOI : 10.1029/2006GL026294

X. Li, R. S. Selesnick, D. N. Baker, A. N. Jaynes, S. G. Kanekal et al., Upper limit on the inner radiation belt MeV electron intensity, Journal of Geophysical Research: Space Physics, vol.119, issue.1, pp.1215-122810, 1002.
DOI : 10.1002/2014JA020386

W. Li, B. Ni, R. M. Thorne, J. Bortnik, J. C. Green et al., Constructing the global distribution of chorus wave intensity using measurements of electrons by the POES satellites and waves by the Van Allen Probes, Geophysical Research Letters, vol.115, issue.1, pp.4526-4532, 2013.
DOI : 10.1029/2009JA014541

W. Li, Radiation belt electron acceleration by chorus waves during the 17 March 2013 storm, Journal of Geophysical Research: Space Physics, vol.114, issue.24, pp.4681-469310, 2013.
DOI : 10.1029/2008JA013580

W. Li, Evidence of stronger pitch angle scattering loss caused by oblique whistler-mode waves as compared with quasi-parallel waves, Geophysical Research Letters, vol.38, issue.3, pp.6063-607010, 2014.
DOI : 10.1029/2011GL048671
URL : https://hal.archives-ouvertes.fr/insu-01174072

G. Livadiotis, Introduction to special section on Origins and Properties of Kappa Distributions: Statistical Background and Properties of Kappa Distributions in Space Plasmas, Journal of Geophysical Research: Space Physics, vol.113, issue.A2, pp.1607-1619, 2015.
DOI : 10.1029/2007JA012979

M. D. Looper, J. B. Blake, and R. A. Mewaldt, Response of the inner radiation belt to the violent Sun-Earth connection events of October ? UNovember, Geophys. Res. Lett, vol.32, pp.3-0610, 2003.

L. R. Lyons and R. M. Thorne, Equilibrium structure of radiation belt electrons, Journal of Geophysical Research, vol.73, issue.13, pp.2142-214910, 1973.
DOI : 10.1029/JA078i013p02142

L. R. Lyons, R. M. Thorne, and C. F. , Pitch-angle diffusion of radiation belt electrons within the plasmasphere, Journal of Geophysical Research, vol.17, issue.19, pp.3455-3474, 1972.
DOI : 10.1029/JA077i019p03455

Q. Ma, Modeling inward diffusion and slow decay of energetic electrons in the Earth's outer radiation belt, Geophysical Research Letters, vol.115, issue.14, pp.987-99510, 2015.
DOI : 10.1029/2009JA014541

N. P. Meredith, R. B. Horne, S. A. Glauert, and R. R. Anderson, Slot region electron loss timescales due to plasmaspheric hiss and lightning-generated whistlers, Journal of Geophysical Research: Space Physics, vol.20, issue.19, pp.10-1029, 1002.
DOI : 10.1029/2006JA012176

N. P. Meredith, R. B. Horne, S. A. Glauert, D. N. Baker, S. G. Kanekal et al., Relativistic electron loss timescales in the slot region, Journal of Geophysical Research: Space Physics, vol.20, issue.11, pp.322210-1029, 2009.
DOI : 10.1029/2007JA012678

N. P. Meredith, R. B. Horne, A. Sicard-piet, D. Boscher, K. H. Yearby et al., Global model of lower band and upper band chorus from multiple satellite observations, Journal of Geophysical Research: Space Physics, vol.32, issue.A8, p.1022510, 1029.
DOI : 10.1029/2004SW000075

N. P. Meredith, R. B. Horne, T. Kersten, B. J. Fraser, and R. S. Grew, Global morphology and spectral properties of EMIC waves derived from CRRES observations, Journal of Geophysical Research: Space Physics, vol.37, issue.A4, pp.5328-534210, 2014.
DOI : 10.1029/2010GL042711

D. Mourenas and J. F. , Analytical estimates of quasi-linear diffusion coefficients and electron lifetimes in the inner radiation belt, Journal of Geophysical Research: Space Physics, vol.115, issue.19, pp.10-1029, 2012.
DOI : 10.1029/2009JA014541

D. Mourenas, A. Artemyev, O. Agapitov, and V. Krasnoselskikh, Acceleration of radiation belts electrons by oblique chorus waves, Journal of Geophysical Research: Space Physics, vol.114, issue.24, pp.10-1029, 2012.
DOI : 10.1029/2008JA013580
URL : https://hal.archives-ouvertes.fr/insu-01179807

D. Mourenas, A. V. Artemyev, J. Ripoll, O. V. Agapitov, and V. V. Krasnoselskikh, Timescales for electron quasi-linear diffusion by parallel and oblique lower-band chorus waves, Journal of Geophysical Research: Space Physics, vol.114, issue.A12, pp.623410-1029, 2012.
DOI : 10.1029/2008JA013580
URL : https://hal.archives-ouvertes.fr/insu-01179755

D. Mourenas, A. V. Artemyev, O. V. Agapitov, and V. V. Krasnoselskikh, Analytical estimates of electron quasi-linear diffusion by fast magnetosonic waves, Journal of Geophysical Research: Space Physics, vol.114, issue.6, pp.3096-3112, 2013.
DOI : 10.1029/2008JA013580
URL : https://hal.archives-ouvertes.fr/insu-01179001

D. Mourenas, A. Artemyev, O. Agapitov, and V. Krasnoselskikh, Consequences of geomagnetic activity on energization and loss of radiation belt electrons by oblique chorus waves, Journal of Geophysical Research: Space Physics, vol.118, issue.6, pp.2775-279610, 2014.
DOI : 10.1029/2012JA018179
URL : https://hal.archives-ouvertes.fr/insu-01282024

D. Mourenas, A. Artemyev, O. Agapitov, V. Krasnoselskikh, and W. Li, Approximate analytical solutions for the trapped electron distribution due to quasi-linear diffusion by whistler mode waves, Journal of Geophysical Research: Space Physics, vol.41, issue.12, pp.9962-997710, 2015.
DOI : 10.1002/2013GL059024
URL : https://hal.archives-ouvertes.fr/insu-01174140

B. Ni, J. Bortnik, R. M. Thorne, Q. Ma, and L. Chen, Resonant scattering and resultant pitch angle evolution of relativistic electrons by plasmaspheric hiss, Journal of Geophysical Research: Space Physics, vol.80, issue.A11, pp.7740-775110, 2013.
DOI : 10.1002/grl.50627

B. Ni, Variability of the pitch angle distribution of radiation belt ultrarelativistic electrons during and following intense geomagnetic storms: Van Allen Probes observations, Journal of Geophysical Research: Space Physics, vol.41, issue.7480, pp.4863-487610, 2015.
DOI : 10.1002/2014GL059322

O. 'brien, T. P. , K. R. Lorentzen, I. R. Mann, N. P. Meredith et al., Energization of relativistic electrons in the presence of ULF power and MeV microbursts: Evidence for dual ULF and VLF acceleration, J. Geophys. Res, vol.108, issue.A8, p.132910, 1029.

L. G. Ozeke, I. R. Mann, K. R. Murphy, I. J. Rae, and D. K. Milling, Analytic expressions for ULF wave radiation belt radial diffusion coefficients, Journal of Geophysical Research: Space Physics, vol.105, issue.A5, pp.251-25810, 2014.
DOI : 10.1029/1999JA000159

F. Ozhogin, J. Tu, P. Song, and B. W. Reinisch, Field-aligned distribution of the plasmaspheric electron density: An empirical model derived from the IMAGE RPI measurements, Journal of Geophysical Research: Space Physics, vol.112, issue.A8, pp.622510-1029, 2012.
DOI : 10.1029/2007JA012298

M. Schulz, The Magnetosphere, Geomagnetism, pp.87-293, 1991.
DOI : 10.1016/B978-0-12-378674-6.50008-X

M. Schulz and A. L. Newman, Eigenfunctions of the magnetospheric radial-diffusion operator, Physica Scripta, vol.37, issue.4, pp.632-63910, 1988.
DOI : 10.1088/0031-8949/37/4/023

Y. Y. Shprits and R. M. Thorne, Time dependent radial diffusion modeling of relativistic electrons with realistic loss rates, Geophysical Research Letters, vol.82, issue.24, pp.10-1029, 2004.
DOI : 10.1029/2004GL019591

Y. Y. Shprits, R. M. Thorne, R. B. Horne, S. A. Glauert, M. Cartwright et al., Acceleration mechanism responsible for the formation of the new radiation belt during the 2003 Halloween solar storm, Geophysical Research Letters, vol.101, issue.A12, p.510410, 1029.
DOI : 10.1029/2005GL024256

Y. Y. Shprits, S. R. Elkington, N. P. Meredith, and D. A. Subbotin, Review of modeling of losses and sources of relativistic electrons in the outer radiation belt I: Radial transport, Journal of Atmospheric and Solar-Terrestrial Physics, vol.70, issue.14, pp.1679-1693, 2008.
DOI : 10.1016/j.jastp.2008.06.008

Y. Y. Shprits, D. Subbotin, A. Drozdov, M. E. Usanova, A. Kellerman et al., Unusual stable trapping of the ultrarelativistic electrons in the Van Allen radiation belts, Unusual stable trapping of the ultrarelativistic electrons in the Van Allen radiation belts, pp.699-70310, 1038.
DOI : 10.1038/nphys2760

A. Sicard-piet, D. Boscher, R. B. Horne, N. P. Meredith, and V. Maget, Effect of plasma density on diffusion rates due to wave particle interactions with chorus and plasmaspheric hiss: extreme event analysis, Annales Geophysicae, vol.32, issue.8, pp.1059-107110, 2014.
DOI : 10.5194/angeo-32-1059-2014

Z. Su, F. Xiao, H. Zheng, and S. Wang, Combined radial diffusion and adiabatic transport of radiation belt electrons with arbitrary pitch angles, Journal of Geophysical Research: Space Physics, vol.115, issue.A4, pp.10-1029, 2010.
DOI : 10.1029/2009JA014541

R. M. Thorne, Radiation belt dynamics: The importance of wave-particle interactions, Geophysical Research Letters, vol.37, issue.10, pp.10-1029, 2010.
DOI : 10.1029/2010GL044990

R. M. Thorne, Evolution and slow decay of an unusual narrow ring of relativistic electrons near L???~???3.2 following the September 2012 magnetic storm, Geophysical Research Letters, vol.118, issue.A11, pp.3507-3511, 2013.
DOI : 10.1002/jgra.50151

R. M. Thorne, Rapid local acceleration of relativistic radiation-belt electrons by magnetospheric chorus, Nature, vol.35, issue.7480, pp.411-41410, 1038.
DOI : 10.1029/2000JA000286

A. D. Tomassian, T. A. Farley, and A. L. Vampola, Inner-zone energetic-electron repopulation by radial diffusion, Journal of Geophysical Research, vol.73, issue.35, pp.3441-345410, 1972.
DOI : 10.1029/JA077i019p03441

W. Tu, S. R. Elkington, X. Li, W. Liu, and J. Bonnell, Quantifying radial diffusion coefficients of radiation belt electrons based on global MHD simulation and spacecraft measurements, Journal of Geophysical Research: Space Physics, vol.110, issue.10, pp.10-1029, 2012.
DOI : 10.1029/2005JA011017

W. Tu, G. S. Cunningham, Y. Chen, S. K. Morley, G. D. Reeves et al., Event-specific chorus wave and electron seed population models in DREAM3D using the Van Allen Probes, Geophysical Research Letters, vol.8, issue.A2, pp.1359-136610, 1002.
DOI : 10.1038/nphys2185

D. L. Turner, Y. Shprits, M. Hartinger, and V. Angelopoulos, Explaining sudden losses of outer radiation belt electrons during geomagnetic storms, Nature Physics, vol.71, issue.3, pp.208-21210, 1038.
DOI : 10.1029/97JA00196

A. Y. Ukhorskiy, M. I. Sitnov, R. M. Millan, B. T. Kress, J. F. Fennell et al., Global storm time depletion of the outer electron belt, Journal of Geophysical Research: Space Physics, vol.118, issue.10, pp.2543-255610, 1002.
DOI : 10.1002/2013JA019066

M. E. Usanova, Effect of EMIC waves on relativistic and ultrarelativistic electron populations: Ground-based and Van Allen Probes observations, Geophysical Research Letters, vol.179, issue.1-4, pp.1375-138110, 2014.
DOI : 10.1007/s11214-013-0013-7

M. Walt, Radial diffusion of trapped particles, in Particles and Fields in the Magnetosphere, 1002.

Z. Wang, Z. Yuan, M. Li, H. Li, D. Wang et al., Statistical characteristics of EMIC wave-driven relativistic electron precipitation with observations of POES satellites: Revisit, Journal of Geophysical Research: Space Physics, vol.41, issue.A8, pp.5509-551910, 1002.
DOI : 10.1002/2014GL059241

H. I. West and . Jr, Some observations of the trapped electrons produced by the Russian high-altitude nuclear detonation of, Radiation Trapped in the Earth?s Magnetic Field, 1962.

F. Xiao, C. Shen, Y. Wang, H. Zheng, and S. Wang, Energetic electron distributions fitted with a relativistic kappa-type function at geosynchronous orbit, Journal of Geophysical Research: Space Physics, vol.34, issue.A10, pp.10-1029, 2008.
DOI : 10.1029/2007GL029915

H. Zhao and X. Li, index and the influence of the solar wind on electron injections into the slot region, Journal of Geophysical Research: Space Physics, vol.111, issue.4, pp.756-76410, 2013.
DOI : 10.1029/2006JA011748

H. Zhao and X. Li, Modeling energetic electron penetration into the slot region and inner radiation belt, Journal of Geophysical Research: Space Physics, vol.118, issue.19, pp.6936-694510, 2013.
DOI : 10.1029/2012JA018179

H. Zhao, X. Li, J. B. Blake, J. F. Fennell, S. G. Claudepierre et al., Peculiar pitch angle distribution of relativistic electrons in the inner radiation belt and slot region, Geophysical Research Letters, vol.118, issue.19, pp.2250-225710, 1002.
DOI : 10.1002/2013JA019240

H. Zhao, X. Li, J. B. Blake, J. F. Fennell, S. G. Claudepierre et al., Characteristics of pitch angle distributions of hundreds of keV electrons in the slot region and inner radiation belt, Journal of Geophysical Research: Space Physics, vol.41, issue.A12, pp.9543-955710, 1002.
DOI : 10.1002/2014GL059725