Formation and dynamics of coherent structures involving phase-space vortices in plasmas

Physics Reports

Volumn 422, Issue 6, 2006, Pages 225-290

  Eliasson, Beng ^a   Shukla, P K ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Double layers; Electromagnetic waves; Electron holes; Ion holes; Pair plasmas; Phase space vortices

Indexed keywords

EID: 29144475414     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2005.10.003     Document Type: Review

References (170)

1. R.Z. Sagdeev, in: M.A. Leontovich (Ed.), Reviews of Plasma Physics, vol. 4, Consultants Bureau, New York, 1966, pp. 23.
2. R.Z. Sagdeev The 1976 Oppenheimer lectures: Critical problems in plasma astrophysics. II. Singular layers and reconnection Rev. Mod. Phys. 51 1979 11-20
3. I.B. Bernstein J.M. Greene M.D. Kruskal Exact nonlinear plasma oscillations Phys. Rev. 108 1957 546-550
4. D. Andersson L. Helczynski-Wolf M. Lisak V. Semenov Features of modulational instability of partially coherent light: Importance of the incoherence spectrum Phys. Rev. E 69 2004 025601/1-4
5. R.A. Dory Mass-conjugate instabilities J. Nucl. Energy, Part C Plasma Phys. 6 1964 511-512
6. K.V. Roberts H.L. Berk Nonlinear evolution of a two-stream instability Phys. Rev. Lett. 19 1967 297-300
7. P.H. Sakanaka Formation and interaction of ion-acoustic solitary waves in a collisionless warm plasma Phys. Fluids 15 1972 304-310
8. D.L. Newman M.V. Goldman M. Spector F. Perez Dynamics and instability of electron phase-space tubes Phys. Rev. Lett. 86 2001 1239-1242
9. L.K.S. Daldorff P. Guio S. Børve H.L. Pécseli J. Trulsen Ion phase space vortices in 3 spatial dimensions Europhys. Lett. 54 2001 161-167
10. V.L. Krasovsky H. Matsumoto Y. Omura Interaction dynamics of electrostatic solitary waves Nonlinear Proc. Geophys. 6 1999 205-209
11. G. Vetoulis M. Oppenheim Electrostatic mode excitation in electron holes due to wave bounce resonances Phys. Rev. Lett. 86 2001 1235-1238
12. P. Guio S. Børve L.K.S. Daldorff J.P. Lynov P. Michelsen H.L. Pécseli J.J. Rasmussen K. Saeki J. Trulsen Phase space vortices in collisionless plasmas Nonlinear Proc. Geophys. 10 2003 75-86
13. P. Guio, H.L. Pécseli, Phase space structures generated by an absorbing obstacle in a streaming plasma, Geophys. Res. Lett. 31 (2004) L03806/1-4, doi: 10.1029/2003GL018461.
14. K. Saeki H. Genma Electron-hole disruption due to ion motion and formation of coupled hole and ion-acoustic soliton in a plasma Phys. Rev. Lett. 80 1998 1224-1227
15. M.V. Medvedev P.H. Dimond M.N. Rosenbluth V.I. Shevchenko Asymptotic theory of nonlinear Landau damping and particle trapping in waves of finite amplitude Phys. Rev. Lett. 81 1998 5824-5826
16. C. Lancellotti J.J. Dorning Nonlinear Landau damping in a collisionless plasma Phys. Rev. Lett. 80 1998 5236
17. G. Manfredi Long-time behavior of nonlinear Landau damping Phys. Rev. Lett. 79 1997 2815-2818
18. T.H. Dupree Theory of phase-space density holes Phys. Fluids 25 1982 277-289
19. J.P. Holloway J.J. Dorning Undamped plasma waves Phys. Rev. A 44 1991 3856-3868
20. H. Schamel Hole equilibria in Vlasov-Poisson systems: A challenge to wave theories of ideal plasmas Phys. Plasmas 7 2000 4831-4844
21. H. Abbasi N.L. Tsintsadze D.D. Tskhakaya Influence of particle trapping on the propagation of ion cyclotron waves Phys. Plasmas 6 1999 2373-2379
22. H. Schamel Stationary solutions of the electrostatic Vlasov equation Plasma Phys. 13 1971 491-505
23. H. Schamel Stationary solitary, snoidal and sinusoidal ion acoustic waves Plasma Phys. 14 1972 905-924
24. H. Schamel Theory of electron holes Phys. Scripta 20 1979 336-342
25. H. Schamel Electron holes, ion holes and double layers Phys. Rep. 140 1986 161-191
26. S. Bujarbarua H. Schamel Theory of electron and ion holes J. Plasma Phys. 25 1981 515-529
27. H. Schamel Stability of electron vortex structures in phase space Phys. Rev. Lett. 48 1982 481-483
28. H. Schamel R. Fedele Kinetic theory of solitary waves on coasting beams in synchrotrons Phys. Plasmas 7 2000 3421-3430
29. L. Stenflo N.L. Tsintsadze T.D. Buadze Solitary acoustic waves in weakly ionized gases Phys. Lett. A 135 1989 37-38
30. R. Fedele Envelope Solitons versus Solitons Phys. Scripta 65 2002 502-508
31. R. Fedele H. Schamel Solitary waves in the Madelung's fluid: Connection between the nonlinear Schrödinger equation and the Korteweg-de Vries equation Eur. Phys. J. B 27 2002 313-320
32. K. Saeki P. Michelsen H.L. Pécseli J.J. Rasmussen Formation and coalescence of electron solitary holes Phys. Rev. Lett. 42 1979 501-504
33. G. Petraconi H.S. Maciel Formation of electrostatic double-layers and electron-holes in a low pressure mercury plasma column J. Phys. D: Appl. Phys. 36 2003 2798-2805
34. H.L. Pécseli J. Trulsen R.J. Armstrong Experimental observation of ion phase-space vortices Phys. Lett. 81A 1981 386-390
35. H.L. Pécseli J. Trulsen R.J. Armstrong Formation of ion phase-space vortices Phys. Scripta 29 1984 241-253
36. H.L. Pécseli Ion phase-space vortices and their relation to small amplitude double-layers Laser Part. Beams 5 1987 211-217
37. Y. Nakamura H. Bailung P.K. Shukla Observation of ion-acoustic shocks in a dusty plasma Phys. Rev. Lett. 83 1999 1602-1605
38. C. Franck T. Klinger A. Piel H. Schamel Dynamics of periodic ion holes in a forced beam-plasma experiment Phys. Plasmas 8 2001 4271-4274
39. A.A. Kabantsev J.H. Yu R.B. Lynch F.F. Driscoll Trapped particles and asymmetry-induced transport Phys. Plasmas 10 2003 1628-1635
40. M. Temerin K. Cherny W. Lotko F.S. Mozer Observations of double layers and solitary waves in the auroral plasma Phys. Rev. Lett. 48 1982 1175-1179
41. R. Boström G. Gustafsson B. Holback G. Holmgren H. Koskinen P. Kintner Characteristics of solitary waves and weak double layers in the magnetospheric plasma Phys. Rev. Lett. 61 1988 82-85
42. J. Dombeck C. Cattell J. Crumley W.K. Peterson H.L. Collin C. Kletzing Observed trends in auroral zone ion mode solitary wave structure characteristics using data from Polar J. Geophys. Res. Space Phys. 106 2001 19013-19022
43. C. Cattell J. Crumley J. Dombeck J. Wygant F.S. Mozer Polar observations of solitary waves at the Earth's magnetopause Geophys. Res. Lett. 29 2002 1065 10.1029/2001GL014046
44. J.P. McFadden C.W. Carlson R.E. Ergun D.M. Klumpar E. Moebius Ion and electron characteristics in auroral density cavities associated with ion beams: No evidence for cold ionospheric plasma J. Geophys. Res. Space Phys. 104 1999 14671-14682
45. J.P. McFadden, C.W. Carlson, R.E. Ergun, F.S. Mozer, L. Muschietti, I. Roth, E. Moebius, FAST observations of ion solitary waves, J. Geophys. Res. 108 (2003) 8018, COA 19-1 - 19-17, doi: 10.1029/2002JA009485.
46. H. Matsumoto H. Kojima T. Miyatake Y. Omura M. Okada I. Nagano M. Tsutsui Electrostatic solitary waves (ESW) in the magnetotail: BEN wave forms observed by Geotail Geophys. Res. Lett. 21 1994 2915-2918
47. H. Matsumoto H. Kojima T. Miyatake Y. Omura M. Okada I. Nagano M. Tsutsui Relation between electrostatic solitary waves and hot plasma flow in the plasma sheet boundary layer: Geotail observations Geophys. Res. Lett. 21 1994 2919-2922
48. R.E. Ergun C.W. Carlson J.P. McFadden F.S. Mozer L. Muschietti I. Roth R.J. Strangeway Debye-scale plasma structures associated with magnetic-field-aligned electric fields Phys. Rev. Lett. 81 1998 826-829
49. R.E. Ergun C.W. Carlson J.P. McFadden F.S. Mozer G.T. Delory W. Peria C.C. Chaston M. Temerin I. Roth L. Muschietti R. Elphik R. Strangeway R. Pfaff C. Cattell D. Klumpar E. Shelly W. Peterson E. Moebius L. Kistler FAST satellite observations of large-amplitude solitary structures Geophys. Res. Lett. 25 1998 2041-2044
50. R.E. Ergun Y.-J. Su L. Andersson C.W. Carlson J.P. McFadden F.S. Mozer D.L. Newman M.V. Goldman R.J. Strangeway Direct observation of localized parallel electric fields in a space plasma Phys. Rev. Lett. 87 2001 45003/1-4
51. S.D. Bale P.J. Kellogg D.E. Larson R.P. Lin K. Goetz R.P. Lepping Bipolar electrostatic structures in the shock transition region, Evidence of electron phase space holes Geophys. Res. Lett. 25 1998 2929-2932
52. S.D. Bale A. Hull D.E. Larson R.P. Lin L. Muschietti P.J. Kellogg K. Goetz S.J. Monson Electrostatic turbulence and Debye-scale structures associated with electron thermalization at collisionless shocks Astrophys. J. 575 2002 L25-L28
53. M. Hoshino Coupling across many scales Science 299 2003 834-835
54. F.S. Mozer R. Ergun M. Temerin C. Cattell J. Dombeck J. Wygant New features of time domain electric field structures in the auroral acceleration region Phys. Rev. Lett. 79 1997 1281-1284
55. J.S. Pickett J.D. Menietti D.A. Gurnett B. Tsurutani P.M. Kintner E. Klatt A. Balogh Solitary potential structures observed in the magnetosheath by the cluster spacecraft Nonlinear Proc. Geophys. 9 2002 1-9
56. J.S. Pickett S.W. Kahler L.-J. Chen R.L. Huff O. Santolik Y. Khotyaintsev P.M.E. Décréau D. Winningham R. Frahm M.L. Goldstein G.S. Lakhina B.T. Tsurutani B. Lavraud D.A. Gurnett M. André A. Fazakerley A. Balogh H. Rème Solitary waves observed in the auroral zone: The cluster multi-spacecraft perspective Nonlinear Proc. Geophys. 11 2004 183-196
57. J.F. Drake M. Swisdak C. Cattell M.A. Shay B.N. Rogers A. Zeiler Formation of electron holes and particle energization during magnetic reconnection Science 299 2003 873-877
58. C. Cattell, J. Domebeck, J. Wygant, J. F. Drake, M. Swisdak, M. L. Goldstein, W. Keith, A. Fazakerley, M. André, E. Lucek, A. Balogh, Cluster observations of electron holes in association with magnetotail reconnection and comparison to simulations, J. Geophys. Res. 110 (2005) A01211/1-16, doi: 10.1029/2004JA010519.
59. J.R. Franz P.M. Kintner andJ.S. Pickett POLAR observations of coherent electric field structures Geophys. Res. Lett. 25 1998 1277-1280
60. A. Hasegawa Stimulated modulational instabilities of plasma waves Phys. Rev. A 1 1970 1746-1750
61. V.I. Karpman High frequency electromagnetic field in plasma with negative dielectric constant Plasma Phys. 13 1971 477-490
62. V.I. Karpman On the dynamics of sonic-Langmuir solitons Phys. Scripta 11 1975 263-265
63. V.I. Karpman Nonlinear Waves in Dispersive Media 1975 Pergamon Oxford
64. V.E. Zakharov Collapse of Langmuir waves Zh. Eksp. Teor. Fiz. 62 1972 1745-1751
65. L.I. Rudakov Deceleration of electron beams in a plasma with a high level of Langmuir turbulence Dokl. Akad. Nauk SSSR 207 1972 821-823
66. R.K. Varma N.N. Rao Theory of sonic-Langmuir solitons Phys. Lett. A 79 1980 311-314
67. N.N. Rao R.K. Varma A theory for Langmuir solitons J. Plasma Phys. 27 1982 95-120
68. H. Schamel M.Y. Yu P.K. Shukla Finite amplitude envelope solitons Phys. Fluids 20 1977 1286-1288
69. H. Schamel P.K. Shukla Envelope solitons in the presence of nonisothermal electrons Phys. Rev. Lett. 36 1976 968-972
70. H. Schamel V. Maslov Langmuir contraction caused by electron holes Phys. Scripta T 82 1999 122-124
71. V.V. Yan'kov Two types of Langmuir solitons Pis'ma Zh. Eksp. Teor. Fiz. 29 1979 179-180
72. Yu.V. Mokhov K.V. Chukbar Langmuir solitons of the Bernstein-Greene-Kruskal type Fiz. Plazmy 10 1984 206-208
73. F. Califano M. Lontano Vlasov simulations of strongly nonlinear electrostatic oscillations in a one-dimensional electron-ion plasma Phys. Rev. E 58 1998 6503-6511
74. J.G. Wang D.L. Newman M.V. Goldman Vlasov simulations of electron heating by Langmuir turbulence near the critical altitude in the radiation-modified ionosphere J. Atm. Sol.-Terr. Phys. 59 1997 2461-2474
75. V.D. Shapiro, V.I. Shevchenko, in: A.A. Galeev, R.N. Sudan (Eds.), Handbook of Plasma Physics, vol. II, North-Holland, Amsterdam, 1984, p. 8.
76. M.V. Goldman Strong turbulence of plasma waves Rev. Mod. Phys. 56 1984 709-735
77. H.C. Wong R. Stenzel A.Y. Wong Development of "cavitons" and trapping of rf field Phys. Rev. Lett. 33 1974 886-889
78. H. Ikezi R.P.H. Chang R.A. Stern Nonlinear evolution of the electron-beam-plasma instability Phys. Rev. Lett. 36 1976 1047-1051
79. T. Intrator C. Chan N. Hershkowitz D. Diebold Nonlinear self-contraction of electron waves Phys. Rev. Lett. 53 1984 1233-1235
80. A.Y. Wong B.H. Quon Spatial collapse of beam-driven plasma waves Phys. Rev. Lett. 34 1975 1499-1502
81. P.K. Shukla N.N. Rao M.Y. Yu N.L. Tsintsadze Relativistic nonlinear effects in plasmas Phys. Rep. 138 1986 1-149
82. D.S. Montgomery R.J. Focia H.A. Rose D.A. Russell J.A. Cobble J.C. Fernández R.P. Johnson Observation of stimulated electron-acoustic-wave scattering Phys. Rev. Lett. 87 2001 155001/1-4
83. R. Bingham Accelerator physics: In the wake of success Nature (London) 424 2003 258-259
84. R. Bingham J.T. Mendonça P.K. Shukla Plasma based charged-particle accelerators Plasma Phys. Control Fusion 46 2004 R1-R23
85. J.T. Mendonça Theory of Photon Acceleration 2001 Institute of Physics Bristol
86. T. Piran Gamma-ray bursts and the fireball model Phys. Rep. 314 1999 575-667
87. V.A. Kozlov A.G. Litvak E.V. Suvorov Envelope solitons of relativistic strong electromagnetic waves, Sov. Phys. JETP 49 1979 75-80
88. P.K. Kaw A. Sen T. Katsouleas Nonlinear 1D laser pulse solitons in a plasma Phys. Rev. Lett. 68 1992 3172-3175
89. T.Zh. Esirkepov F.F. Kamenets S.V. Bulanov N.M. Naumova Low-frequency relativistic electromagnetic solitons in collisionless plasmas JETP Lett. 68 1998 36-41
90. S.V. Bulanov T.Zh. Esirkepov N.M. Naumova F. Pegoraro V.A. Vshivkov Solitonlike electromagnetic waves behind a superintense laser pulse in a plasma Phys. Rev. Lett. 82 1999 3440-3443
91. D. Farina S.V. Bulanov Relativistic electromagnetic solitons in the electron-ion plasma Phys. Rev. Lett. 86 2001 5289-5292
92. N.M. Naumova S.V. Bulanov T.Zh. Esirkepov D. Farina K. Nishihara F. Pegoraro H. Ruhl A.S. Sakharov Formation of electromagnetic postsolitons in plasmas Phys. Rev. Lett. 87 2001 185004/1-4
93. M. Borghesi S. Bulanov D.H. Campbell R.J. Clarke T.Zh. Esirkepov M. Galimberti L.A. Gizzi A.J. MacKinnon N.M. Naumova F. Pegoraro H. Ruhl A. Schiavi O. Willi Macroscopic evidence of soliton formation in multiterawatt laser-plasma interaction Phys. Rev. Lett. 88 2002 135002/ 1-4
94. M.E. Dieckmann B. Eliasson P.K. Shukla Streaming instabilities driven by mildly relativistic proton beams in plasmas Phys. Plasmas 11 2004 1394-1401
95. W.L. Kruer J.M. Dawson R.N. Sudan Trapped-particle instability Phys. Rev. Lett. 23 1969 838-841
96. M.V. Goldman Theory of stability of large periodic plasma waves Phys. Fluids 13 1970 1281-1289
97. M.E. Dieckmann B. Eliasson A. Stathopoulos A. Ynnerman Connecting shock velocities to electron-injection mechanisms Phys. Rev. Lett. 92 2004 065006/1-4
98. H. Schamel S. Bujarbarua Solitary plasma hole via ion-vortex distribution Phys. Fluids 23 1980 2498-2499
99. L.P. Block in: B. Hultqvist L. Stenflo (Eds.)Physics of the Hot Plasma in the Magnetosphere 1975 Plenum New York 229-249
100. J.S. Levine F.W. Crawford A fluid description of plasma double-layers J. Plasma Phys. 23 1980 223-247
101. A. Hasegawa T. Sato Existence of negative potential solitary-wave structure and formation of a double layer Phys. Fluids 25 1982 632-635
102. K.Y. Kim Weak monotonic double layers Phys. Lett. 97 A 1983 45-51
103. D.L. Newman M.V. Goldman R.E. Ergun A. Mangeney Formation of double layers and electron holes in a current-driven space plasma Phys. Rev. Lett. 87 2001 255001/1-4
104. H. Schamel Weak double layers: Existence, stability and evidence Z. Naturforsch. 38 1983 1170-1183
105. A. Mangeney C. Salem C. Lacombe J.-L. Bougeret C. Perche R. Manning P.J. Kellogg K. Goertz S.L. Monson J.-M. Bosqued WIND observations of coherent electrostatic waves in the solar wind, Ann. Geophys. 17 1999 307-320
106. C. Lacombe J.L. Bougeret C. Perche R. Manning P. Kellogg K. Goetz S. Monson J.M. Bosqued Evidence for the interplanetary electric potential? WIND observations of electrostatic fluctuations Ann. Geophys. 20 2002 609-618
107. H. Schamel Kinetic theory of phase space vortices and double layers Phys. Scripta T2 1982 228-237
108. D. Jovanović P.K. Shukla G. Morfill A nonlinear model for coherent tripolar electric field structures in the Earth's auroral zone and solar wind J. Plasma Phys. 71 2005 203-211
109. B. Eliasson P.K. Shukla Dynamics of electron holes in an electron-oxygen-ion plasma Phys. Rev. Lett. 91 2004 045001/1-4
110. B. Eliasson The parallel implementation of the one-dimensional Fourier transformed Vlasov-Poisson system Comput. Phys. Commun. 170 2005 205-230
111. B. Eliasson P.K. Shukla Production of nonisothermal electrons and Langmuir waves because of colliding ion holes and trapping of plasmons in an ion hole Phys. Rev. Lett. 92 2004 95006/1-4
112. P.K. Shukla B. Eliasson Trapping of plasmons in ion holes JETP Lett. 77 2003 647-652
113. M.J. Rees in: G.B. Gibbons S.W. Hawking S. Sikias (Eds.) The Very Early Universe 1983 Cambridge University Press Cambridge
114. Positron-Electron Pairs in Astrophysics, M. L. Burns et al. (Eds.), AIP, New York, 1983.
115. F.C. Michel Theory of pulsar magnetospheres Rev. Mod. Phys. 54 1986 1-66
116. T. Piran The physics of gamma-ray bursts Rev. Mod. Phys. 76 2004 1143-1210
117. N.C. Woolsey C. Courtois R.O. Dendy Laboratory plasma astrophysics simulation experiments using lasers Plasma Phys. Control Fusion 46 2004 B397-B405
118. V.I. Berezhiani D.D. Tskhakaya P.K. Shukla Pair production in a strong wake field driven by an intense short laser pulse Phys. Rev. A 46 1992 6608-6612
119. P. Helander D.J. Ward Positron creation and annihilation in tokamak plasmas with runaway electrons Phys. Rev. Lett. 90 2003 135004/1-4
120. R. Alkofer M.B. Hecht C.D. Roberts S.M. Schmidt D.V. Vinnik Pair creation and an X-ray free electron laser Phys. Rev. Lett. 87 2001 193902/1-4
121. W. Oohara, D. Date, and R. Hatakeyama, Electrostatic Waves in a paired fullerene-ion plasma, Phys. Rev. Lett. 95 (2005) 175003/1-4.
122. H. Schamel A. Luque Kinetic theory of periodic hole and double layer equilibria in pair plasmas New J. Phys. 7 2005 69/1-9
123. B. Eliasson P.K. Shukla Solitary phase-space holes in pair plasmas Phys. Rev. E 71 2005 046402/1-5
124. W. Oohara R. Hatakeyama Pair-ion plasma generation using fullerenes Phys. Rev. Lett. 91 2004 205005/1-4
125. W. Oohara S. Ishiguro R. Hatakeyama N. Sato Dynamic evolution of plasma structures due to local production of massive negative ions J. Phys. Soc. Jpn. 71 2002 373-376
126. W. Oohara R. Hatakeyama S. Ishiguro Plasma state transition originating from local production of massive negative ions Phys. Rev. E 68 2003 066407/1-8
127. N. Meyer-Vernet Flip-flop of electric potential of dust grains in space Astron. Astrophys. 105 1982 98-106
128. M. Horányi C.K. Goertz Coagulation of dust particles in a plasma Astrophys. J. 361 1990 155-161
129. B. Smiley S. Robertson M. Horányi T. Blix M. Rapp R. Latteck J. Gumbel Measurement of positively and negatively charged particles inside PMSE during MIDAS SOLSTICE 2001 J. Geophys. Res. Atm. 108 2003 8444 10.1029/2002JD002425
130. B. Eliasson, P.K. Shukla, Theory of relativistic electron holes in hot plasmas, Phys. Lett. A 338 (2005) 237-242. doi: 10.1016/ j.physleta.2005.02.047.
131. S.R. de Groot W.A. van Leeuwen C.G. Weert Relativistic Kinetic Theory, Principles and Applications 1980 North-Holland Amsterdam
132. I.S. Gradshteyn I.M. Ryzhik Table of Integrals, Series, and Products fourth ed. 1965 Academic New York
133. S.K. Lele Compact finite difference schemes with spectral-like resolution J. Comput. Phys. 103 1992 16-42
134. D. Jovanović P.K. Shukla L. Stenflo F. Pegoraro Nonlinear model for electron phase-space holes in magnetized space plasmas J. Geophys. Res. Space Phys. 107 2002 1110 10.1029/2001JA900180
135. Y. Omura H. Matsumoto T. Miyake H. Kojima Electron beam instabilities as generation mechanism of electrostatic solitary waves in the magnetotail J. Geophys. Res. Space Phys. 101 1996 2685-2698
136. N. Singh S.M. Loo B. Earl Wells C. Deverapalli Three-dimensional structure of electron holes driven by an electron beam Geophys. Res. Lett. 27 2000 2469-2472
137. D. Jovanović F. Pegoraro Kinetic vortex chain solution in the drift-wave plasma regime Phys. Rev. Lett. 84 2000 95-98
138. D. Jovanović P.K. Shukla Nonlinear model for coherent electric field structures in the magnetosphere Phys. Rev. Lett. 84 2000 4373-4376
139. D.A. D'Ippolito R.C. Davidson A hybrid kinetic model for high- β plasmas Phys. Fluids 18 1975 1507-1523
140. H. Schamel V.I. Maslov Adiabatic growth of electron holes in current-carrying plasmas Phys. Scripta T50 1994 42-46
141. H. Schamel Theory of solitary holes in coasting beams Phys. Rev. Lett. 79 1997 2811-2814
142. B.N. Kuvshinov F. Pegoraro J. Rem T.J. Schep Drift-Alfvén vortices with finite ion gyroradius and electron inertia effects Phys. Plasmas 6 1999 713-728
143. D. Jovanović P.K. Shukla Formation of nonlinear magnetic islands via trapped electrons in the lower hybrid-range Phys. Plasmas 11 2004 4946-4953
144. D. Jovanović P.K. Shukla Magnetic reconnection mediated by lower-hybrid phase-space vortices Phys. Rev. Lett. 93 2004 015002/1-4
145. D. Jovanović P.K. Shukla Linear theory for fast collisionless magnetic reconnection in the lower-hybrid frequency range Phys. Plasmas 12 2005 052114/1-10
146. X.H. Deng H. Matsumoto Rapid magnetic reconnection in the Earth's magnetosphere mediated by whistler waves Nature (London) 410 2001 557-559
147. F.S. Mozer S.D. Bale T.D. Phan Evidence of diffusion regions at a subsolar magnetopause crossing Phys. Rev. Lett. 89 2002 015002/1-4
148. A. Runov R. Nakamura W. Baumjohann T.L. Zhang M. Volwerk H.-U. Eichelberger A. Balogh Cluster observation of a bifurcated current sheet Geophys. Res. Lett. 30 2003 1036 10.1029/2002GL016136
149. S.K. Solanki A. Lagg J. Woch N. Krupp M. Collados Three-dimensional magnetic field topology in a region of solar coronal heating Nature (London) 425 2003 692-695
150. See many articles in the Special Issue: Fourth International Workshop on Nonlinear Waves & Chaos in Space Plasmas, Nonlinear Proc. Geophys. 10 (2002).
151. P.K. Shukla B. Eliasson Complete theory for Langmuir envelope solitons in dusty plasmas Phys. Plasmas 11 2004 584-592
152. P.K. Shukla B. Eliasson Localization of intense electromagnetic waves in a relativistically hot plasma Phys. Rev. Lett. 94 2005 65002/1-4
153. M. Abramowitz I.A. Stegun Handbook of Mathematical Functions 1972 Dover New York
154. E. Isaacson H.B. Keller Analysis of Numerical Methods 1994 Dover New York
155. D.A. Mendis M. Rosenberg Cosmic dusty plasmas Ann. Rev. Astron. Astrophys. 32 1994 419-463
156. F. Verheest Waves in Space Dusty Plasmas 2000 Kluwer Academic Dordrecht
157. P.K. Shukla A.A. Mamun Introduction to Dusty Plasma Physics 2002 Institute of Physics Bristol
158. D.A. Mendis Progress in the study of dusty plasmas Plasma Sources Sci. Technol. 11 2002 A219-A228
159. See for example, many articles in: M. Horányi, S. Robertson, B. Walch (Eds.), Physics of Dusty Plasmas, AIP, New York, 1998.
160. J.P. Boeuf C. Pusset in: A. Bouchoule (Ed.) Dusty Plasmas 1999 John Wiley & Sons New York
161. P.O. Dovner A.I. Eriksson R. Bostrom B. Holback Freja multiprobe observations of electrostatic solitary structures Geophys. Res. Lett. 21 1994 1827-1830
162. A.A. Mamun B. Eliasson P.K. Shukla Three-dimensional electroacoustic solitary waves induced by ion holes in magnetized plasmas Phys. Plasmas 11 2004 4535-4538
163. P.K. Shukla A.A. Mamun B. Eliasson 3D electron-acoustic solitary waves introduced by phase space electron vortices in magnetized space plasmas Geophys. Res. Lett. 31 2004 10.1029/2004GL019533 L07803/1-4
164. V.L. Krasovsky, H. Matsumoto, Y. Omura, Effect of trapped-particle deficit and structure of localized electrostatic perturbations of different dimensionality, J. Geophys. Res. 109 (2004) A04217/1-9 doi: 10.1029/2003JA010198.
165. Li-Jen Chen David J. Thouless Jian-Ming Tang Bernstein-Greene-Kruskal solitary waves in three-dimensional magnetized plasma Phys. Rev. E 69 2004 50 (055401/1-4)
166. U. Wagner M. Tatarakis A. Gopal F.N. Beg E.L. Clark A.E. Dangor R.G. Evans M.G. Haines S.P.D. Mangles P.A. Norreys M.-S. Wei M. Zepf K. Krushelnick Laboratory measurements of 0.7 GG magnetic fields generated during high-intensity laser interactions with dense plasmas Phys. Rev. E 70 2004 026401/1-5
167. K.G. McClements R.O. Dendy R. Bingham J.G. Kirk L.O.C. Dury Acceleration of cosmic ray electrons by ion-excited waves at quasi-perpendicular shocks Mon. Not. R. Astron. Soc. 291 1997 241-249
168. R.Z. Sagdeev V.D. Shapiro Influence of transverse magnetic field on Landau damping JETP Lett. 17 1973 279-282
169. J.M. Dawson V.K. Decyk. Huff Robert W I. Jechart T. Katsouleas J.N. Leboeuf B. Lembege R.M. Martinez Y. Ohsawa S.T. Ratliff Damping of large-amplitude plasma waves propagating perpendicular to the magnetic field Phys. Rev. Lett. 50 1983 1455-1458
170. T. Katsouleas, J.M. Dawson, Unlimited electron acceleration in laser-driven plasma waves, Phys. Rev. Lett. 51 1993 392-395.