Holdings: Modulational interactions in plasmas

Modulational interactions in plasmas:

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Bibliographic Details
Format:	Book
Language:	English
Published:	Dordrecht [u.a.] Kluwer 1995
Series:	Astrophysics and space science library 201
Subjects:	Dynamique Instabilité Plasma Plasmafysica Plasmas, Dynamique des Théorie non-linéaire Nonlinear theories Plasma (Ionized gases) Plasma dynamics Plasmadynamik
Online Access:	Inhaltsverzeichnis
Physical Description:	539 S.
ISBN:	0792334876

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adam_text	MODULATIONAL INTERACTIONS IN PLASMAS BY SERGEY V. VLADIMIROV GENERAL PHYSICS INSTITUTE, MOSCOW, RUSSIA VADIM N. TSYTOVICH GENERAL PHYSICS INSTITUTE, MOSCOW, RUSSIA SERGEY I. POPEL INSTITUTE FOR DYNAMICS OFGEOSPHERES, MOSCOW, RUSSIA AND FOTEKH KH. KHAKIMOV TAJIK STATE UNIVERSITY, DUSHANBE, TAJIKISTAN KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS 1 MODULATIONAL INTERACTIONS IN PHYSICS 15 1.1 NONLINEAR PHENOMENA AND PHYSICS OF PLASMAS 18 1.2 PLASMA NONLINEAR RESPONSE 22 1.2.1 INDUCED NONLINEAR CHARGES 22 1.2.2 SYNCHRONISM CONDITIONS 24 1.2.3 WAVE DISPERSION AND NONLINEAR INTERACTIONS .... 27 1.3 VIRTUAL WAVES 29 1.3.1 PARTICLE SELF-FIELDS AND VIRTUAL FIELDS 29 1.3.2 INTERACTION OF REAL AND VIRTUAL WAVES 32 1.3.3 EFFECTS OF LARGE VIRTUAL WAVES 35 1.4 MODULATIONAL INTERACTIONS . 39 1.4.1 THRESHOLDS FOR DOMINATION 39 1.4.2 PLASMA TURBULENCE 42 1.4.3 SOME HISTORICAL COMMENTS 45 1.5 CONTENT OF THE BOOK 50 2 MODULATIONAL INTERACTION OF POTENTIAL ELECTRIC FIELDS 55 2.1 GENERAL NONLINEAR FORMALISM . :. . 55 2.1.1 REAL AND VIRTUAL FIELDS 55 2.1.2 ABSENCE OF ION SOUND . 62 2.1.3 ION-SOUND AND STRONG LANGMUIR WAVES 66 2.2 NONLINEAR RESPONSES 72 2.2.1 GENERAL EXPRESSIONS 72 2.2.2 EFFECTIVE THIRD-ORDER RESPONSE 74 2.2.3 THIRD-ORDER RESPONSES FOR SOUND MODULATIONS . . 80 2.3 ENVELOPE LANGMUIR FIELDS 87 2 CONTENTS 2.3.1 EQUATIONS FOR AMPLITUDE OF FIELD ENVELOPE 87 2.3.2 ELEMENTARY HYDRODYNAMIC APPROACH 91 2.3.3 CONSERVATION LAWS. LANGMUIR SOLITONS 95 2.4 INSTABILITY OF LANGMUIR PUMP WAVE 101 2.4.1 DISPERSION EQUATION 101 2.4.2 ONE-DIMENSIONAL INSTABILITY 105 2.4.3 THREE-DIMENSIONAL INSTABILITY. FILAMENTATION . . . 107 2.5 NONLINEARITIES OF LOW-FREQUENCY FIELD 110 2.5.1 GENERAL EQUATIONS 110 2.5.2 NEARSONIC SOLITONS 113 2.5.3 DISSIPATIVE PROCESSES FOR NEARSONIC SOLITONS . . . .116 3 HIGHER NONLINEARITIES 119 3.1 ELECTRON NONLINEARITIES 119 3.1.1 QUASINEUTRALITY VIOLATION 120 3.1.2 VIRTUAL WAVES ON SECOND HARMONIC 121 3.1.3 FREQUENCY CORRECTIONS 123 3.1.4 THERMAL CORRECTIONS 124 3.1.5 COMPLETE EXPRESSION FOR ELECTRON NONLINEARITIES . . 127 3.1.6 ONE-DIMENSIONAL CASE. HIGHER CORRECTIONS 128 3.2 RELATIVISTIC NONLINEARITIES 130 3.2.1 RELATIVISTIC CORRECTIONS IN SECOND-ORDER RESPONSES 131 3.2.2 RELATIVISTIC CORRECTIONS IN THIRD-ORDER RESPONSES . 133 3.2.3 COMPLETE EXPRESSION FOR RELATIVISTIC CORRECTIONS . . 134 3.3 FIFTH-ORDER EFFECTS 136 3.3.1 GENERAL EXPRESSIONS 136 3.3.2 APPROXIMATE EXPRESSIONS -. . 137 3.3.3 THERMAL CORRECTIONS 140 3.3.4 NON-MAXWELLIAN DISTRIBUTIONS 141 3.4 FAST SOLITARY WAVES 144 3.4.1 SUPERSONIC LANGMUIR SOLITONS 144 3.4.2 NON-MAXWELLIAN DISTRIBUTIONS AND SOLITONS IN THE FIFTH-ORDER MODEL 146 3.4.3 NON-MAXWELLIAN DISTRIBUTIONS AND SOLITONS IN THE THIRD-ORDER MODEL 149 3.5 LASER PLASMA ACCELERATORS 150 3.5.1 PLASMA BEATWAVE ACCELERATOR 152 CONTENTS 3 3.5.2 INSTABILITY OF RELATIVISTIC PLASMA WAVE 154 3.5.3 RELATIVISTIC MODULATIONAL INSTABILITY 157 4 STRONGLY NONLINEAR PLASMA WAVES 161 4.1 PERTURBATION THEORY 162 4.1.1 GENERAL RELATIONS 162 4.1.2 COLD PLASMA .164 4.1.3 RELATIVISTIC WAVE 168 4.1.4 THERMAL CORRECTIONS 171 4.1.5 CHARGE DENSITY AND WAVE ENERGY 174 4.2 NONPERTURBATIVE KINETIC THEORY . . 175 4.2.1 BASIC RELATIONSHIPS 175 4.2.2 PLASMA WITH T E ^ 0 179 4.3 ION-BEAM PLASMA SYSTEM I , 185 4!3.1 LINEAR APPROXIMATION 186 4.3.2 NONLINEAR SOLUTION 187 4.4 MULTI-COMPONENT SYSTEMS 193 4.4.1 ELECTRON-POSITRON-ION PLASMAS 193 4.4.2 IMPURITY-CONTAINING PLASMAS 198 5 EXCITATION OF MAGNETIC FIELDS 205 5.1 MAGNETO-MODULATIONAL EQUATIONS 206 5.1.1 GENERAL EQUATION WITH VIRTUAL TRANSVERSAL WAVE . . 206 5.1.2 NONLINEAR RESPONSES WITH VIRTUAL TRANSVERSAL FIELDS 209 5.1.3 EQUATIONS FOR MAGNETO-MODULATIONAL INTERACTIONS. INTEGRALS OF MOTION 211 5.1.4 DERIVATION FROM HYDRODYNAMIC EQUATIONS 213 5.1.5 QUALITATIVE COMMENTS 216 5.2 INSTABILITY OF MONOCHROMATIC PUMP WAVE 218 5.2.1 DISPERSION EQUATION 218 5.2.2 LOW-TEMPERATURE CASE 220 5.2.3 HIGH-TEMPERATURE CASE 221 5.2.4 JOINT ACTION OF MODULATIONAL AND MAGNETO-MO- DULATIONAL INSTABILITIES . 222 4 CONTENTS 6 HOMOGENEOUS PLASMAS IN EXTERNAL MAG- NETIC FIELD 229 6.1 EQUATION FOR LOWER-HYBRID WAVES 230 6.1.1 LINEAR LH WAVES 230 6.1.2 GENERAL NONLINEAR FORMALISM 232 6.1.3 THIRD-ORDER RESPONSES 233 6.2 MONOCHROMATIC LH WAVE 238 6.2.1 EQUATION FOR MODULATIONAL INSTABILITY 239 6.2.2 SHORT-SCALE MODULATIONAL INSTABILITY 240 6.2.3 LONG-SCALE MODULATIONAL INSTABILITY 244 6.2.4 COMPARISON WITH OTHER NONLINEAR PROCESSES . . . . 246 6.3 LH SOLITONS 248 6.3.1 EFFECTIVE THIRD-ORDER RESPONSE 248 6.3.2 ENVELOPE SOLITONS 252 6.3.3 SOLITONS IN THE CASE OF TRANSVERSE VIRTUAL FIELDS . . 257 6.4 LH WAVE-PARTICLE INTERACTIONS. 261 6.4.1 MODULATIONAL INSTABILITY AND PLASMA HEATING . . . 261 6.4.2 MODULATIONAL PROCESSES AND CURRENT DRIVE 263 6.4.3 PARTICLE ACCELERATION 270 7 BOUNDED AND INHOMOGENEOUS PLASMAS IN EXTERNAL MAGNETIC FIELD 275 7.1 INTERACTIONS IN BOUNDED PLASMAS 277 7.1.1 LINEAR DISPERSION RELATIONSHIPS 277 7.1.2 EVOLUTION EQUATIONS 279 7.1.3 INSTABILITY OF MONOCHROMATIC PUMP. SOLITONS . . .282 7.1.4 SOLITON ACCELERATION 286 7.1.5 SOLITONS IN INVERSE DISPERSION MEDIA 287 7.2 MODULATIONAL INSTABILITY OF LH DRIFT WAVES 291 7.2.1 BASIC RELATIONSHIPS 291 7.2.2 LINEAR SOLUTIONS 294 7.2.3 NONLINEAR RESPONSES 296 7.2.4 INSTABILITY OF MONOCHROMATIC PUMP WAVE 299 7.3 EFFECTS IN MAGNETOSPHERE PLASMAS . 306 7.3.1 EFFECTIVE COLLISION FREQUENCY 307 7.3.2 MAGNETOPAUSE WIDTH 311 7.4 MODULATIONAL INTERACTIONS AND ACTIVE EXPERIMENTS . . . . 313 CONTENTS 5 7.4.1 AMPTE BARIUM RELEASE 314 7.4.2 HYDRODYNAMICAL LH DRIFT INSTABILITY 317 7.4.3 MODULATIONAL INSTABILITY IN AMPTE EXPERIMENT . 320 8 INSTABILITIES IN COLLISIONAL PLASMAS 327 8.1 BASIC EQUATIONS 328 8.1.1 BRAGINSKII S SYSTEM 329 8.1.2 LOW-FREQUENCY LINEAR SOLUTIONS 331 8.1.3 LOW-FREQUENCY DIELECTRIC PERMITTIVITY 334 8.1.4 HIGH-FREQUENCY LINEAR SOLUTIONS 336 8.2 EFFECTIVE THIRD-ORDER RESPONSE 338 8.2.1 RESPONSES OF SECOND-ORDER IN WAVE FIELD 338 8.2.2 RESPONSES OF THIRD-ORDER IN WAVE FIELD 344 8.3 INSTABILITY OF LANGMUIR WAVE 347 8.3.1 EVOLUTION EQUATIONS 348 83.2 DISPERSION EQUATION 349 8.3.3 INSTABILITY RATES 351 8.4 COUPLED LANGMUIR AND SOUND WAVES 356 8.4.1 EQUATIONS FOR WAVE FIELDS 356 8.4.2 QUASI-STATIONARY SOLUTION 359 8.5 INSTABILITY OF ELECTROMAGNETIC WAVES 364 8.5.1 INSTABILITY IN UNDERDENSE PLASMAS 364 8.5.2 COMBINED EFFECT OF JOULE HEATING, PONDEROMOTIVE FORCE, AND RELATIVISTIC NONLINEARITIES 367 8.5.3 HIGHLY COLLISIONAL DUSTY PLASMAS 370 8.5.4 EFFECTS OF MAGNETIC FIELD 378 9 INSTABILITIES OF SURFACE WAVES 383 9.1 HYDRODYNAMICS OF BOUNDED PLASMAS 387 9.1.1 ELECTRON DYNAMICS 387 9.1.2 DISPERSION EQUATION FOR SURFACE WAVES 389 9.1.3 SURFACE CURRENTS 391 9.1.4 OTHER THIRD-ORDER EFFECTS 393 9.2 KINETIC THEORY OF BOUNDED PLASMAS 396 9.2.1 GENERAL NONLINEAR EQUATIONS 396 9.2.2 THIRD-ORDER PLASMA CURRENTS 401 9.2.3 RESPONSES IN SEMI-INFINITE PLASMAS 405 6 CONTENTS 9.2.4 PLASMA SLABS AND PLASMAS BOUNDED BY THIN DI- ELECTRIC SLABS 409 9.3 MODULATIONAL INSTABILITY AND SOLITONS 412 9.3.1 INSTABILITY IN SEMI-INFINITE PLASMAS 412 9.3.2 SOLITONS IN SEMI-INFINITE PLASMAS 419 9.3.3 SOLITONS IN PLASMA SLABS AND PLASMAS ADJACENT TO THIN DIELECTRIC SLABS 422 9.3.4 COUPLED SOLITONS IN PLASMA SLABS 425 10 TWO MONOCHROMATIC PUMP WAVES 429 10.1 INTERACTION OF TWO PUMPS 430 10.1.1 INTERFERENCE TERMS 430 10.1.2 STEADY-STATE SOLUTIONS 433 10.1.3 MODULATIONAL MATRIX 436 10.2 PUMPS WITH LARGE FREQUENCY GAP 438 10.2.1 FREQUENCY ANALYSIS . 438 10.2.2 BASIC EXPRESSIONS . 440 10.2.3 ZERO-APPROXIMATION * * * 443 10.2.4 EQUATIONS FOR MODULATIONAL PERTURBATIONS . . . . 445 10.3 INSTABILITY RATES 447 10.3.1 NONLINEAR FREQUENCY SHIFT 447 10.3.2 MODULATIONAL PERTURBATIONS 450 10.3.3 GROWTH RATES FOR TWO LANGMUIR PUMPS 454 11 MODULATIONAL PROCESSES AND WEAK PLAS- MA TURBULENCE 459 11.1 WEAK TURBULENCE APPROXIMATION 461 11.1.1 BASIC EQUATIONS 462 11.1.2 INDUCED SCATTERING 465 11.1.3 DECAY PROCESSES 467 11.1.4 PHASE CORRELATIONS 469 11.2 INSTABILITY EQUATIONS 472 11.2.1 GENERAL RELATIONSHIPS 472 11.2.2 REGULAR AND RANDOM FIELDS 474 11.2.3 PERTURBATIONS OF CORRELATION FUNCTIONS 477 11.3 INSTABILITY OF WAVE PACKETS 481 11.3.1 ONE-DIMENSIONAL EQUATIONS 481 CONTENTS 7 11.3.2 ONE-DIMENSIONAL INSTABILITY RATES 484 11.3.3 CORRELATION FUNCTIONS IN ISOTROPIC CASE 488 11.3.4 ISOTROPIC INSTABILITY RATES 490 11.4 INSTABILITY THRESHOLDS 491 11.4.1 NARROW WAVE PACKETS 493 11.4.2 BROAD WAVE PACKETS 496 11.4.3 ONE-DIMENSIONAL SITUATION 499 11.5 WKB-ANSATZ .500 11.5.1 ENERGY PRINCIPLE 501 11.5.2 ONE-DIMENSIONAL PROBLEM 504 11.5.3 APPLICABILITY LIMITS 505 11.5.4 CONCLUDING REMARKS 508
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spelling	Modulational interactions in plasmas by Sergey V. Vladimirov ... Dordrecht [u.a.] Kluwer 1995 539 S. txt rdacontent n rdamedia nc rdacarrier Astrophysics and space science library 201 Dynamique obspm Instabilité obspm Plasma obspm Plasmafysica gtt Plasmas, Dynamique des ram Théorie non-linéaire obspm Nonlinear theories Plasma (Ionized gases) Plasma dynamics Plasmadynamik (DE-588)4123952-0 gnd rswk-swf Plasmadynamik (DE-588)4123952-0 s DE-604 Vladimirov, Sergej V. Sonstige oth Astrophysics and space science library 201 (DE-604)BV000000296 201 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006907805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Modulational interactions in plasmas Astrophysics and space science library Dynamique obspm Instabilité obspm Plasma obspm Plasmafysica gtt Plasmas, Dynamique des ram Théorie non-linéaire obspm Nonlinear theories Plasma (Ionized gases) Plasma dynamics Plasmadynamik (DE-588)4123952-0 gnd
subject_GND	(DE-588)4123952-0
title	Modulational interactions in plasmas
title_auth	Modulational interactions in plasmas
title_exact_search	Modulational interactions in plasmas
title_full	Modulational interactions in plasmas by Sergey V. Vladimirov ...
title_fullStr	Modulational interactions in plasmas by Sergey V. Vladimirov ...
title_full_unstemmed	Modulational interactions in plasmas by Sergey V. Vladimirov ...
title_short	Modulational interactions in plasmas
title_sort	modulational interactions in plasmas
topic	Dynamique obspm Instabilité obspm Plasma obspm Plasmafysica gtt Plasmas, Dynamique des ram Théorie non-linéaire obspm Nonlinear theories Plasma (Ionized gases) Plasma dynamics Plasmadynamik (DE-588)4123952-0 gnd
topic_facet	Dynamique Instabilité Plasma Plasmafysica Plasmas, Dynamique des Théorie non-linéaire Nonlinear theories Plasma (Ionized gases) Plasma dynamics Plasmadynamik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006907805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT vladimirovsergejv modulationalinteractionsinplasmas

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