D. R. Austin, M. J. Hole, P. A. Robinson, I. H. Cairns, and R. Dallaqua, Laboratory Evidence for Stochastic Plasma-Wave Growth, Physical Review Letters, vol.99, issue.20, pp.10-1103, 2007.
DOI : 10.1103/PhysRevLett.99.205004

URL : http://digitalcollections.anu.edu.au/handle/10440/968

S. D. Bale, D. Burgess, P. J. Kellogg, K. Goetz, and S. J. Monson, On the amplitude of intense Langmuir waves in the terrestrial electron foreshock, Journal of Geophysical Research: Space Physics, vol.35, issue.17, pp.281-1110, 1997.
DOI : 10.1029/97JA00938

S. D. Bale, P. J. Kellogg, D. E. Larsen, R. P. Lin, K. Goetz et al., Bipolar electrostatic structures in the shock transition region: Evidence of electron phase space holes, Geophysical Research Letters, vol.92, issue.15, pp.2929-293210, 1029.
DOI : 10.1029/98GL02111

J. S. Bendat and A. G. Piersol, Engineering Applications of Correlation and Spectral Analysis, 1980.

C. R. Boshuizen, I. H. Cairns, and P. A. Robinson, Electric field distributions for Langmuir waves in planetary foreshocks, Journal of Geophysical Research, vol.101, issue.A4, pp.10-1029, 2004.
DOI : 10.1029/2004JA010408

C. Briand, P. Henri, V. Génot, N. Lormant, N. Dufourg et al., STEREO database of interplanetary Langmuir electric waveforms, Journal of Geophysical Research: Space Physics, vol.119, issue.8, pp.1062-107010, 2016.
DOI : 10.1002/2014JA020091

URL : https://hal.archives-ouvertes.fr/hal-01311872

I. H. Cairns and J. D. Menietti, Stochastic growth of waves over Earth's polar cap, Journal of Geophysical Research: Space Physics, vol.541, issue.A12, pp.515-2910, 2001.
DOI : 10.1029/2000JA000422

I. H. Cairns and P. A. Robinson, First test of stochastic growth theory for Langmuir waves in Earth's foreshock, Geophysical Research Letters, vol.41, issue.4, pp.369-37210, 1997.
DOI : 10.1029/97GL00084

I. H. Cairns and P. A. Robinson, Strong Evidence for Stochastic Growth of Langmuir-like Waves in Earth's Foreshock, Physical Review Letters, vol.82, issue.15, pp.3066-306910, 1999.
DOI : 10.1103/PhysRevLett.82.3066

L. M. Celnikier, L. Muschietti, and M. V. Goldman, Aspects of interplanetary plasma turbulence, Astron. Astrophys, vol.181, pp.138-154, 1987.

C. H. Chen, C. S. Salem, J. W. Bonnell, and F. S. Mozer, Density Fluctuation Spectrum of Solar Wind Turbulence between Ion and Electron Scales, Physical Review Letters, vol.109, issue.3, 2012.
DOI : 10.1103/PhysRevLett.109.035001

R. E. Ergun, Spacecraft Observations of Solar Impulsive Electron Events Associated with Solar Type III Radio Bursts, The Astrophysical Journal, vol.503, issue.1, pp.435-44510, 1998.
DOI : 10.1086/305954

V. L. Ginzburg and V. V. Zhelezniakov, On the possible mechanisms of sporadic solar radio emission (radiation in an isotropic plasma), p.653, 1958.

P. J. Kellogg and T. S. Horbury, Rapid density fluctuations in the solar wind, Annales Geophysicae, vol.23, issue.12, pp.3765-377310, 2005.
DOI : 10.5194/angeo-23-3765-2005

URL : https://hal.archives-ouvertes.fr/hal-00318110

C. Krafft and A. Volokitin, Stabilization of the fan instability: Electron flux relaxation, Physics of Plasmas, vol.52, issue.12, 2006.
DOI : 10.1088/1742-6596/7/1/013

C. Krafft and A. S. Volokitin, ELECTRON ACCELERATION BY LANGMUIR WAVES PRODUCED BY A DECAY CASCADE, The Astrophysical Journal, vol.821, issue.2, pp.10-3847, 2016.
DOI : 10.3847/0004-637X/821/2/99

C. Krafft, A. Volokitin, and A. Zaslavsky, Saturation of the fan instability: Nonlinear merging of resonances, Physics of Plasmas, vol.40, issue.11, 2005.
DOI : 10.1007/978-1-4899-3093-4

C. Krafft, A. Volokitin, and A. Zaslavsky, Nonlinear dynamics of resonant interactions between wave packets and particle distributions with loss-cone-like structures, Physical Review E, vol.82, issue.6, 2010.
DOI : 10.1103/PhysRevE.82.066402

C. Krafft, A. S. Volokitin, and V. V. Krasnoselskikh, INTERACTION OF ENERGETIC PARTICLES WITH WAVES IN STRONGLY INHOMOGENEOUS SOLAR WIND PLASMAS, The Astrophysical Journal, vol.778, issue.2, pp.111-122, 2013.
DOI : 10.1088/0004-637X/778/2/111

C. Krafft, A. S. Volokitin, V. V. Krasnoselskikh, and T. D. De-wit, Waveforms of Langmuir turbulence in inhomogeneous solar wind plasmas, Journal of Geophysical Research: Space Physics, vol.115, issue.016406, pp.9369-938210, 2014.
DOI : 10.1029/2009JA014996

URL : https://hal.archives-ouvertes.fr/insu-01174063

C. Krafft, A. S. Volokitin, and V. V. Krasnoselskikh, LANGMUIR WAVE DECAY IN INHOMOGENEOUS SOLAR WIND PLASMAS: SIMULATION RESULTS, The Astrophysical Journal, vol.809, issue.2, pp.176-193176, 2015.
DOI : 10.1088/0004-637X/809/2/176

URL : https://hal.archives-ouvertes.fr/insu-01351972

V. V. Krasnoselskikh, V. V. Lobzin, K. Musatenko, J. Soucek, J. S. Pickett et al., Beam-plasma interaction in randomly inhomogeneous plasmas and statistical properties of small-amplitude Langmuir waves in the solar wind and electron foreshock, Journal of Geophysical Research: Space Physics, vol.110, issue.4/5, p.1010910, 1029.
DOI : 10.1029/2004JA010977

URL : https://hal.archives-ouvertes.fr/insu-01408841

J. Labelle, I. H. Cairns, and C. A. Kletzing, Electric field statistics and modulation characteristics of bursty Langmuir waves observed in the cusp, Journal of Geophysical Research: Space Physics, vol.105, issue.A10, pp.10-1029, 2010.
DOI : 10.1029/2004JA010703

M. Neugebauer, The enhancement of solar wind fluctuations at the proton thermal gyroradius, Journal of Geophysical Research, vol.180, issue.7, pp.998-100210, 1975.
DOI : 10.1029/JA080i007p00998

O. Neil, T. M. , J. H. Winfrey, and J. H. Malmberg, Nonlinear Interaction of a Small Cold Beam and a Plasma, Physics of Fluids, vol.14, issue.6, pp.1204-121210, 1971.
DOI : 10.1063/1.1693587

K. Pearson, Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.186, issue.0, pp.343-414, 1895.
DOI : 10.1098/rsta.1895.0010

D. Pí?a, G. B. Hospodarsky, W. S. Kurth, O. Santolík, J. Sou?ek et al., Statistics of Langmuir wave amplitudes observed inside Saturn's foreshock by the Cassini spacecraft, Journal of Geophysical Research: Space Physics, vol.23, issue.1-4, pp.2531-254210, 1002.
DOI : 10.1029/96GL00660

O. Podladchikova, B. Lefebvre, V. Krasnoselskikh, and V. Podladchikov, Classification of probability densities on the basis of Pearson???s curves with application to coronal heating simulations, Nonlinear Processes in Geophysics, vol.10, issue.4/5, pp.323-333, 2003.
DOI : 10.5194/npg-10-323-2003

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN. The Art of Scientific Computing, 1992.

H. A. Reid and E. Kontar, Langmuir wave electric fields induced by electron beams in the heliosphere, Astronomy & Astrophysics, vol.598, pp.10-1051, 2017.
DOI : 10.1051/0004-6361/201629697

P. A. Robinson, Clumpy Langmuir waves in type III radio sources, Solar Physics, vol.3, issue.1, pp.147-16310, 1992.
DOI : 10.1007/BF00147886

P. A. Robinson, Stochastic wave growth, Physics of Plasmas, vol.163, issue.5, pp.1466-1479, 1995.
DOI : 10.1007/BF00239800

P. A. Robinson, I. H. Cairns, and D. A. Gurnett, Clumpy Langmuir waves in type III radio sources - Comparison of stochastic-growth theory with observations, The Astrophysical Journal, vol.407, pp.790-80010, 1993.
DOI : 10.1086/172560

D. F. Smith and D. Sime, Origin of plasma-wave clumping in type III solar radio burst sources, The Astrophysical Journal, vol.233, pp.998-100410, 1979.
DOI : 10.1086/157463

J. Soucek, V. Krasnoselskikh, T. Dudok-de-wit, J. Pickett, and C. Kletzing, Nonlinear decay of foreshock Langmuir waves in the presence of plasma inhomogeneities: Theory and Cluster observations, Journal of Geophysical Research: Space Physics, vol.35, issue.5, pp.10-1029, 1002.
DOI : 10.1029/2004GL019413

A. A. Vedenov, Theory of a weakly turbulent plasma, Rev. Plasma Phys, pp.229-276, 1967.

S. Vidojevi´cvidojevi´c, A. Zaslavsky, M. Maksimovi´cmaksimovi´c, M. Dra?i´cdra?i´c, and O. Atanackovi´catanackovi´c, Statistical analysis of Langmuir waves associated with type III radio bursts: I. Wind observations, pp.596-599, 2011.

A. Volokitin and C. Krafft, Interaction of suprathermal electron fluxes with lower hybrid waves, Physics of Plasmas, vol.39, issue.6, pp.3165-3176, 2004.
DOI : 10.1103/PhysRevE.64.026407

A. Volokitin and C. Krafft, Velocity diffusion in plasma waves excited by electron beams, Plasma Phys. Controlled Fusion, 2012.

A. Volokitin and C. Krafft, DIFFUSION OF ENERGETIC ELECTRONS IN TURBULENT PLASMAS OF THE SOLAR WIND, The Astrophysical Journal, vol.833, issue.2, pp.10-3847, 2016.
DOI : 10.3847/1538-4357/833/2/166

A. Volokitin, V. Krasnoselskikh, C. Krafft, and E. Kuznetsov, Modelling of the beam-plasma interaction in a strongly inhomogeneous plasma, pp.78-81, 2013.
DOI : 10.1063/1.4810994.3

A. Voshchepynets and V. Krasnoselskikh, Probabilistic model of beam-plasma interaction in randomly inhomogeneous solar wind, Journal of Geophysical Research: Space Physics, vol.727, issue.8, pp.139-1010, 2015.
DOI : 10.1088/0004-637X/727/1/16

URL : https://hal.archives-ouvertes.fr/insu-01351956

A. Voshchepynets, V. Krasnoselskikh, A. Artemyev, and A. Volokitin, PROBABILISTIC MODEL OF BEAM???PLASMA INTERACTION IN RANDOMLY INHOMOGENEOUS PLASMA, The Astrophysical Journal, vol.807, issue.1, p.38, 2015.
DOI : 10.1088/0004-637X/807/1/38

URL : https://hal.archives-ouvertes.fr/insu-01255482

V. E. Zakharov, Collapse of Langmuir waves, Sov, J. Exp. Theor. Phys, vol.35, pp.908-914, 1972.

A. Zaslavsky, C. Krafft, and A. Volokitin, Stochastic processes of particle trapping and detrapping by a wave in a magnetized plasma, Physical Review E, vol.73, issue.1, 2006.
DOI : 10.1103/PhysRevE.73.016406

A. Zaslavsky, C. Krafft, and A. Volokitin, Loss-cone instability: Wave saturation by particle trapping, Physics of Plasmas, vol.237, issue.12, 2007.
DOI : 10.1103/PhysRevE.73.016406