Nonlinear aspects of quantum plasma physics

Physics-Uspekhi

Volumn 53, Issue 1, 2010, Pages 51-76

  Shukla, P K ^a,b,c,d   Eliasson, B ^a,d  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^c INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^d UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICAL OBJECTS; ELECTROMAGNETIC WAVE DYNAMICS; ELECTRON FLUID; ELECTRON INTERACTION; EXTERNAL MAGNETIC FIELD; FUTURE PERSPECTIVES; HARD X RAY; INTENSE ELECTROMAGNETIC WAVES; INTENSE LASER; ION PLASMA WAVE; LOW TEMPERATURES; MAGNETARS; MICROMECHANICAL SYSTEMS; NONLINEARLY COUPLED; NUMBER DENSITY; OPPOSITE CHARGE; PHASE SPACES; PLANETARY INTERIORS; QUANTUM FORCE; QUANTUM PLASMAS; QUASI-STATIONARY; SHORT WAVELENGTHS; SOLID DENSITY PLASMAS; SPIN-ON; VERY HIGH FREQUENCY; WHITE DWARFS; X-RAY FREE ELECTRON LASERS;

ANGULAR MOMENTUM; CEMENTS; ELECTRIC FURNACES; ELECTROMAGNETIC WAVE DIFFRACTION; ELECTROMAGNETIC WAVE SCATTERING; ELECTROMAGNETIC WAVES; ELECTROMAGNETISM; ELECTROSTATICS; FREE ELECTRON LASERS; GAMMA RAYS; MAGNETIC FIELDS; MAGNETIC MATERIALS; MAGNETOHYDRODYNAMICS; PHASE SPACE METHODS; PLASMA INTERACTIONS; PLASMA WAVES; POSITRONS; QUANTUM WELL LASERS; SPIN DYNAMICS; STARS; TITANIUM COMPOUNDS;

ELECTRONS;

EID: 77954764766     PISSN: 10637869     EISSN: None     Source Type: Journal    
DOI: 10.3367/UFNe.0180.201001b.0055     Document Type: Article

References (241)

1. Klimontovich Yu L, Silin V P Dokl. Akad. Nauk SSSR 82 361 (1952);
2. Zh. Eksp. Teor. Fiz. 23 151 (1952)
3. Bohm D Phys. Rev. 85 166 (1952)
4. Bohm D, Pines D Phys. Rev. 92 609 (1953)
5. Pines D J. Nucl. Energy Pt. C Plasma Phys. 2 5 (1961)
6. Bohm D, Pines D, in Plasma Physics (Ed. J E Drummond) (New York: McGraw-Hill, 1961) Ch. 2, p. 35
7. BonitzM et al. J. Phys. A Math. Gen. 36 5921 (2003)
8. Manfredi G Fields Inst. Commun. 46 263 (2005)
9. Bransden B H, Joachain C J Quantum Mechanics 2nd ed. (Harlow: Prentice Hall, 2000)
10. Fortov V E, Iakubov I T The Physics of Non-Ideal Plasma (Singapore: World Scientific, 2000)
11. Lee T D Astrophys. J. 111 625 (1950)
12. Hubbard WB Astrophys. J. 146 858 (1966)
13. LampeMPhys. Rev. 170 306 (1968)
14. Azechi H et al. Laser Part. Beams 9 193 (1991)
15. Azechi H et al. (the FIREX Project) Plasma Phys. Control. Fusion 48 B267 (2006)
16. Son S, Fisch N J Phys. Rev. Lett. 95 225002 (2005)
17. Wigner E Phys. Rev. 40 749 (1932)
18. Moyal J E Proc. Camb. Philos. Soc. 45 99 (1949)
19. Anderson D et al. Phys. Rev. E 65 046417 (2002)
20. Tsintsadze N L, Tsintsadze L N, arXiv:0903.5368
21. Gardner C L, Ringhofer C Phys. Rev. E 53 157 (1996)
22. Manfredi G, Haas F Phys. Rev. B 64 075316 (2001)
23. Shukla P K, Eliasson B Phys. Rev. Lett. 96 245001 (2006)
24. Shukla P K Phys. Lett. A 352 242 (2006)
25. Shukla P K, Eliasson B New J. Phys. 9 98 (2007)
26. Maafa N Phys. Scripta 48 351 (1993)
27. Melrose D B Quantum Plasmadynamics: Unmagnetized Plasmas (New York: Springer, 2008)
28. Lifshitz E M, Pitaevskii L P Fizicheskaya Kinetika (Physical Kinetics) (Moscow: Nauka, 1979) [Translated into English (Ox- ford: Butterworth-Heinemann, 1981)]
29. Nozieres P, Pines D The Theory of Quantum Liquids (Cambridge: Perseus Books, 1999) p. 279
30. Kremp D et al. Phys. Rev. E 60 4725 (1999)
31. BonitzM Quantum Kinetic Theory (Stuttgart: B.G. Teubner, 1998)
32. Kremp D, Schlanges M, Kraeft W-D Quantum Statistics of Nonideal Plasmas (Berlin: Springer, 2005)
33. Uhlenbeck G E, Goudsmit S Naturwissenschaften 47 953 (1925);
34. Nature 117 264 (1926)
35. Bohm D Quantum Theory (New York: Prentice-Hall, 1951)
36. Sasabe S, Tsuchiya K Phys. Lett. A 372 381 (2008)
37. Landau L D, Lifshitz E M Kvantovaya Mekhanika: Nerelyativists- kaya Teoriya (Quantum Mechanics: Non-Relativistic Theory) (Moscow: Nauka, 1974) 3rd ed. [Translated into English (Oxford: Pergamon Press, 1977)]
38. Steinberg M Thermodynamics and Kinetics of a Magnetized Quan- tum Plasma (Berlin: Logos, 2000)
39. John P Contrib. Plasma Phys. 33 488 (2006)
40. Shukla P K, Stenflo L J. Plasma Phys. 72 605 (2006)
41. Shukla P K et al. Phys. Plasmas 13 112111 (2006)
42. Shukla P K Phys. Lett. A 369 312 (2007)
43. Lundin J et al. Phys. Plasmas 14 062112 (2007)
44. Misra A P Phys. Plasmas 14 064501 (2007)
45. Khan S A, Saleem H Phys. Plasmas 16 052109 (2009)
46. Madelung E Z. Phys. 40 322 (1927)
47. Takabayasi T Prog. Theor. Phys. 8 143 (1952)
48. Takabayasi T Prog. Theor. Phys. 14 283 (1955)
49. Takabayasi T Prog. Theor. Phys. 70 1 (1983)
50. Bohm D, Schiller R, Tiomno J Suppl. Nuovo Cimento 1 48 (1955)
51. Bohm D, Schiller R Suppl. Nuovo Cimento 1 67 (1955)
52. Janossy L, Ziegler-Naray M Acta Phys. Hung. 20 23 (1965)
53. Ghosh S K, Deb BMPhys. Rep. 92 1 (1982)
54. Takabayasi T Prog. Theor. Phys. 9 187 (1953)
55. Takabayasi T Prog. Theor. Phys. 13 222 (1955)
56. Takabayasi T Nuovo Cimento 3 233 (1956)
57. Takabayasi T Prog. Theor. Phys. Suppl. (4) 2 (1957)
58. Bialynicki-Birula I Acta Phys. Polonica B 26 1201 (1995)
59. Gardner C L SIAM J. Appl. Math. 54 409 (1994)
60. Loffredo MI, Morato LMNuovo Cimento B 108 205 (1993)
61. Feynman R P Statistical Mechanics; A Set of Lectures (Reading, Mass.: W.A. Benjamin, 1972) [Translated into Russian (Moscow: Mir, 1978)]
62. Domps A, Reinhard P-G, Suraud E Phys. Rev. Lett. 80 5520 (1998)
63. Haas F, Garcia L G, Goedert J, Manfredi G Phys. Plasmas 10 3858 (2003)
64. Eliasson B, Shukla P K J. Plasma Phys. 74 581 (2008)
65. Haas F Phys. Plasmas 12 062117 (2005)
66. Shukla P K, Stenflo L Phys. Plasmas 13 044505 (2006)
67. Shukla P K, Eliasson B Phys. Rev. Lett. 99 096401 (2007)
68. Shaikh D, Shukla P K Phys. Rev. Lett. 99 125002 (2007)
69. Shaikh D, Shukla P K New J. Phys. 10 083007 (2008)
70. Bershadskii A Phys. Lett. A 372 2741 (2008)
71. Eliasson B, Shukla P K Phys. Scr. 78 025503 (2008)
72. Oraevsky V N, Semikoz V B Yad. Fiz. 66 494 (2003)
73. Phys. At. Nucl. 66 466 (2003)
74. Oraevsky V N, Semikoz V B, Volokitin A S, hep-ph/ 0203020
75. Marklund M, Brodin G Phys. Rev. Lett. 98 025001 (2007)
76. Brodin G, Marklund MPhys. Rev. E 76 055403(R) (2007)
77. Shukla P K, Stenflo L J. Plasma Phys. 74 719 (2008)
78. Shukla P K Nature Phys. 5 92 (2009)
79. Oraevsky V N, Semikoz V B Astropart. Phys. 18 261 (2002)
80. Hu S X, Keitel C H Phys. Rev. Lett. 83 4709 (1999)
81. Andreev A V Pis'ma Zh. Eksp. Teor. Fiz. 72 350 (2000)
82. JETP Lett. 72 238 (2000)
83. MourouGA, Tajima T, Bulanov S V Rev. Mod. Phys. 78 309 (2006)
84. Marklund M, Shukla P K Rev. Mod. Phys. 78 591 (2006)
85. Salamin Y A et al. Phys. Rep. 427 41 (2006)
86. Malkin V M, Fisch N J, Wurtele J S Phys. Rev. E 75 026404 (2007)
87. Kritcher A L et al. Science 322 69 (2008)
88. Hartemann F V, SidersCW, BartyCP J Phys. Rev. Lett. 100 125001 (2008)
89. Lee H J et al. Phys. Rev. Lett. 102 115001 (2009)
90. Norreys P A et al. Phys. Plasmas 16 041002 (2009)
91. Drake R P Phys. Plasmas 16 055501 (2009)
92. van Horn HM Science 252 384 (1991)
93. Guillot T Science 286 72 (1999)
94. Fortney J J et al. Phys. Plasmas 16 041003 (2009)
95. Mészáros P High Energy Radiation from Magnetized Neutron Stars (Chicago: Univ. of Chicago Press, 1992)
96. Beskin V S, Gurevich A V, Istomin Ya N Physics of the Pulsar Magnetosphere (Cambridge: Cambridge Univ. Press, 1993)
97. Craighead H G Science 290 1532 (2000)
98. Opher Met al. Phys. Plasmas 8 2454 (2001)
99. Shapiro S L, Teukolsky SABlack Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Weinheim: Wiley-VCH, 2004)
100. Benvenuto O G, De Vito M A Mon. Not. R. Astron. Soc. 362 891 (2005)
101. Chabrier G, Douchin F, Potekhin A Y J. Phys. Condens. Matter 14 9133 (2002)
102. Chabrier G, Sauma D, Potekhin A Y J. Phys. A Math. Gen. 39 4411 (2006)
103. Lai D Rev. Mod. Phys. 73 629 (2001);
104. Harding A K, Lai D Rep. Prog. Phys. 69 2631 (2006)
105. Lau Y Y et al. Phys. Rev. Lett. 66 1446 (1991)
106. Ang L K, Kwan T J T, Lau Y Y Phys. Rev. Lett. 91 208303 (2003)
107. Ang L K, Lau Y Y, Kwan T J T IEEE Trans. Plasma Sci. 32 410 (2004)
108. Ang L K et al. Phys. Plasmas 13 056701 (2006)
109. Ang L K, Zhang P Phys. Rev. Lett. 98 164802 (2007)
110. Shukla P K, Eliasson B Phys. Rev. Lett. 100 036801 (2008)
111. Shpatakovskaya G V Zh. Eksp. Teor. Fiz. 129 533 (2006)
112. JETP 102 466 (2006)
113. BarnesWL, Dereux A, Ebbesen TW Nature 424 824 (2003)
114. Chang D E et al. Phys. Rev. Lett. 97 053002 (2006)
115. Marklund Met al. Europhys. Lett. 84 17006 (2008)
116. Markovich P A et al. Semiconductor Equation (Wien: Springer, 1990)
117. Abrahams E, Kravchenko S V, Sarachik M P Rev. Mod. Phys. 73 251 (2001)
118. MagnusWC J, SchoenmakerWJ Quantum Transport in Submicron Devices (Berlin: Springer, 2002)
119. Crouseilles N, Hervieux P-A, Manfredi G Phys. Rev. B 78 155412 (2008)
120. Becker K H, Schoenbach K H, Eden J G J. Phys. D 39 R55 (2006)
121. Serbeto A et al. Phys. Plasmas 15 013110 (2008)
122. Piovella N et al. Phys. Rev. Lett. 100 044801 (2008)
123. Lindl J Phys. Plasmas 2 3933 (1995)
124. Tabak Met al. Phys. Plasmas 1 1626 (1994);
125. 12 057305 (2005)
126. Glenzer S H et al. Phys. Rev. Lett. 98 065002 (2007)
127. Benney D J, Newell A C J. Math. Phys. (MIT) 46 81 (1967)
128. Benjamin T B Proc. R. Soc. London A 299 59 (1967)
129. Scott A C et al. Proc. IEEE 66 1444 (1973)
130. Hasegawa A, Tappert F Appl. Phys. Lett. 23 142, 171 (1973)
131. Agrawal G P Nonlinear Fiber Optics (Amsterdam: Elsevier/Aca- demic Press, 2007)
132. Wan W, Jia S, Fleischer J WNature Phys. 3 46 (2007)
133. Karpman VI, Krushkal EMZh. Eksp. Teor. Fiz. 55 530 (1968)
134. Sov. Phys. JETP 28 277 (1969)
135. Karpman V I Plasma Phys. 13 477 (1971)
136. Zakharov V E Zh. Eksp. Teor. Fiz. 62 1745 (1972)
137. Sov. Phys. JETP 35 908 (1972)
138. Karpman V I Nelineinye Volny v Dispergiruyushchikh Sredakh (Nonlinear Waves in Dispersive Media) (Moscow: Nauka, 1973) [Translated into English (New York: Pergamon Press, 1975)]
139. Schamel H, Shukla P K Phys. Rev. Lett. 36 968 (1976)
140. Shukla P K Nature 274 874 (1978)
141. Sulem C, Sulem P-L The Nonlinear Schrödinger Equation: Self- Focusing and Wave Collapse (New York: Springer, 1999)
142. Fedele R Phys. Scripta 65 502 (2002)
143. Dauxois T, Peyrard M Physics of Solitons (Cambridge: Cambridge Univ. Press, 2006)
144. Barenghi C F, Donnelly R J, Vinen W F (Eds) Quantized Vortex Dynamics and Superfluid Turbulence (Berlin: Springer, 2001)
145. Bewley G P, Lathrop D P, Sreenivasan K R Nature 441 588 (2006)
146. Bose S N Z. Phys. 26 178 (1924)
147. Einstein A Sitzungsber. K. Preuβ Akad. Wiss. Phys. Math. K1. 261 (1924)
148. Gross E P Nuovo Cimento 20 454 (1961)
149. Pitaevskii L P Zh. Eksp. Teor. Fiz. 40 646 (1961)
150. Sov. Phys. JETP 13 451 (1961)
151. Pitaevskii L, Stringari S Bose-Einstein Condensation (Oxford: Clarendon Press, 2003)
152. Dalfovo F et al. Rev. Mod. Phys. 71 463 (1999)
153. O'Dell D H J, Giovanazzi S, Eberlein C Phys. Rev. Lett. 92 250401 (2004)
154. PauliWZ. Phys. 32 111 (1925);
155. Rev. Mod. Phys. 13 203 (1941)
156. Berestetskii V B, Lifshitz E M, Pitaevskii L P Kvantovaya Elektro- dinamika (Quantum Electrodynamics) (Moscow: Nauka, 1980) [Translated into English (Oxford: Butterworth-Heinemann, 1999) p. 123]
157. Brodin G, Marklund MNew J. Phys. 9 277 (2007)
158. Dvornikov M, arXiv:0902.4596
159. Kolomeisky E B et al. Phys. Rev. Lett. 85 1146 (2000)
160. Ivonin I A Zh. Eksp. Teor. Fiz. 112 2252 (1997)
161. JETP 85 1233 (1997)
162. Ivonin I A, Pavlenko V P, Persson H Phys. Rev. E 60 492 (1999)
163. Whitham G B Linear and Nonlinear Waves (New York: John Wiley & Sons, 1999)
164. Sagdeev R Z, in Voprosy Teorii Plazmy (Reviews of Plasma Physics) Vol.4 (Ed. M A Leontovich) (Moscow: Atomizdat, 1964) p. 20 [Translated into English (New York: Consultants Bureau, 1966) p. 23]
165. Sagdeev R Z Rev. Mod. Phys. 51 11 (1979)
166. Shukla P K, Yu M Y J. Math. Phys. 19 2506 (1978);
167. Yu M Y, Shukla P K, Bujarbarua S Phys. Fluids 23 2146 (1980)
168. Gottlieb D, Orszag S A Numerical Analysis of Spectral Methods: Theory and Applications (Philadelphia: SIAM, 1977)
169. Kolmogorov A N Dokl. Akad. Nauk SSSR 30 301 (1941);
170. 31 438 (1941)
171. C.R. (Dokl.) Acad. Sci. USSR 30 301 (1941);
172. 31 438 (1941)
173. LesieurMTurbulence in Fluids: Stochastic and Numerical Modelling 2nd ed. (Dordrecht: Kluwer Acad. Publ., 1990)
174. Frisch U Turbulence: the Legacy of A.N. Kolmogorov (Cambridge: Cambridge Univ. Press, 1995)
175. Eyink G L, Sreenivasan K R Rev. Mod. Phys. 78 87 (2006)
176. Iroshnikov P S Astron. Zh. 40 742 (1963)
177. Sov. Astron. 7 566 (1964)
178. Kraichnan R H Phys. Fluids 8 1385 (1965)
179. Larichev V D, McWilliams J C Phys. Fluids A 3 938 (1991)
180. Scott R K Phys. Rev. E 75 046301 (2007)
181. Paoletti MS et al. Phys. Rev. Lett. 101 154501 (2008)
182. Eliasson B, Shukla P K Phys. Rep. 422 225 (2006)
183. Haas F, Eliasson B, Shukla P K, ManfrediGPhys. Rev. E 78 056407 (2008)
184. KruerWL, Dawson J M, Sudan R N Phys. Rev. Lett. 23 838 (1969)
185. Albrecht-MarcMet al. Phys. Plasmas 14 072704 (2007)
186. Luque A, Schamel H, Fedele R Phys. Lett. A 324 185 (2004)
187. Biermann L Z. Naturforsch. A 5 65 (1950)
188. Weibel E S Phys. Rev. Lett. 2 83 (1959)
189. Gruzinov A Astrophys. J. 563 L15 (2001)
190. Schlickeiser R, Shukla P K Astrophys. J. 599 L57 (2003)
191. Washimi H, Karpman V I Zh. Eksp. Teor. Fiz. 71 1010 (1976)
192. Sov. Phys. JETP 44 528 (1976)
193. Karpman V I, Washimi H J. Plasma Phys. 18 173 (1977)
194. Gradov O M, Stenflo L Z. Naturforsch. A 35 461 (1980)
195. Gradov O M, Stenflo L Phys. Lett. A 95 233 (1983)
196. Shukla P K, YuMY Plasma Phys. Control. Fusion 26 841 (1984)
197. Shukla P K et al. Phys. Rep. 138 1 (1986)
198. Tsintsadze L N, Shukla P K Phys. Lett. A 187 67 (1994)
199. Tsintsadze L N, Shukla P K J. Plasma Phys. 74 431 (2008)
200. Haas F Phys. Plasmas 15 022104 (2008)
201. Haas F, LazarMPhys. Rev. E 77 046404 (2008)
202. Haas F, Shukla P K, Eliasson B J. Plasma Phys. 75 251 (2009)
203. Pines D, Noziéres P The Theory of Quantum Liquids (New York: W.A. Benjamin, 1966)
204. Lindhard J Danske Vid. Selsk. Mat.-Fys. Medd. 28 (8) 1 (1954)
205. Cockayne E, Levine Z H Phys. Rev. B 74 235107 (2006)
206. WeiM S et al. Phys. Rev. E 70 056412 (2004)
207. Estabrook K Phys. Rev. Lett. 41 1808 (1978)
208. Abramowitz M, Stegun I A (Eds) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York: Dover Publ., 1972) [Translated into Russian (Moscow: Nauka, 1979)]
209. Lewin L Polylogarithms and Associated Functions (New York: North-Holland, 1981)
210. von Rooss O Phys. Rev. 119 1174 (1960)
211. Arista N R, Brandt WPhys. Rev. A 29 1471 (1984)
212. Leemans WP et al. Phys. Rev. A 46 1091 (1992)
213. Fried B D, Conte S D The Plasma Dispersion Function; the Hilbert Transform of the Gaussian (New York: Academic Press, 1961)
214. Krall N A, Trivelpiece A W Principles of Plasma Physics (New York: McGraw-Hill, 1973)
215. Davidson R C et al. Phys. Fluids 15 317 (1972)
216. Eliasson B J. Comput. Phys. 225 1508 (2007)
217. Shukla P K, Shukla N, Stenflo L J. Plasma Phys. 75 (2009) (in press)
218. Oberman C, Ron A Phys. Rev. 130 1291 (1963)
219. Kelley D C Phys. Rev. 134 A641 (1964)
220. Benford G, Rostoker N Phys. Rev. 181 729 (1969)
221. Kuzelev M V, Rukhadze A A Usp. Fiz. Nauk 169 687 (1999)
222. Phys. Usp. 42 603 (1999)
223. Melrose D B, Weise J I Phys. Plasmas 9 4473 (2002)
224. Ginzburg V L Raspredelenie Elektromagnitnykh Voln v Plazme (Propagation of Electromagnetic Waves in Plasma) (Moscow: Fizmatgiz, 1960) [Translated into English (New York: Gordon and Breach, 1962)]
225. Abdullaev A Sh Fiz. Plazmy 14 365 (1988)
226. Sov. J. Plasma Phys. 14 214 (1988)
227. Eliezer S et al. Phys. Plasmas 12 052115 (2005)
228. Boosé D, Perez A Phys. Lett. A 234 113 (1997)
229. Kittel C Introduction to Solid State Physics 7th ed. (New York: Wiley, 1996) Ch. 14 [Translated into Russian (Moscow: Nauka, 1978)]
230. Marklund M, Eliasson B, Shukla PKPhys. Rev. E 76 067401 (2007)
231. Shaikh D, Shukla P K Phys. Rev. Lett. 102 045004 (2009)
232. Drake J F et al. Phys. Fluids 17 778 (1974)
233. Yu M Y, Spatschek K H, Shukla P K Z. Naturforsch. A 29 1736 (1974)
234. Stenflo L Phys. Scripta T30 166 (1990)
235. Sagdeev R Z, Galeev A A Nonlinear Plasma Theory (New York: Benjamin, 1969)
236. Haas F Phys. Plasmas 14 042309 (2007)
237. Haas F, Shukla P K Phys. Rev. E 79 066402 (2009)
238. Marburger J H, Tooper R H Phys. Rev. Lett. 35 1001 (1975)
239. Hakim R, Heyvaerts J Phys. Rev. A 18 1250 (1978)
240. Shabad A Y Tr. Fiz. Inst. Akad. Nauk SSSR 192 5 (1988) [Translated ito English: Polarization of the Vacuum and a Quantum Relativistic Gas in an External Field (Proc. Lebedev Phys. Inst., Ed. V L Ginzburg) (New York: Nova Sci, Pub. Inc, 1991)]
241. Lamata L et al. Phys. Rev. Lett. 98 253005 (2007)