Impossibility of Vedenov-Rudakov's plasma modulational instability as one more illustration of the inappropriateness of the recipes of nonequilibrium statistical mechanics

Physics of Plasmas

Volumn 11, Issue 6, 2004, Pages 3284-3295

  Erofeev, V I ^a  

^a INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC FIELDS; FOURIER TRANSFORMS; HIGH ENERGY PHYSICS; HYDRODYNAMICS; KINETIC THEORY OF GASES; LAPLACE TRANSFORMS; PLASMA DENSITY; PLASMA TURBULENCE; PROBABILITY; STATISTICAL MECHANICS;

NONEQUILIBRIUM STATISTICAL MECHANICS; PLASMA KINETICS; PLASMA PHYSICS;

PLASMA THEORY;

EID: 3042691370     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1748115     Document Type: Article

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87. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
88. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
89. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
90. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
91. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
92. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
93. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
94. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
95. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
96. The argumentation in favor of this recipe was highlighted in V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Plasma Phys. 68, 1 (2002). We have partially disclosed its content in Sec. II, speaking about coordination of results by F. G. Bass, Ya. B. Fainberg, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22, 230 (1966)] with perturbation technique by V. M. Malkin, Zh. Eksp. Teor. Fiz. 83, 88 (1982) [Sov. Phys. JETP 56, 48 (1982)]; Fiz. Plazmy 8, 357 (1982) [Sov. J. Plasma Phys. 8, 202 (1982)]; Zh. Eksp. Teor. Fiz. 83, 1725 (1982) [Sov. Phys. JETP 56, 997 (1982)]. We refrain from more expanded repetition of respective argumentation.
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114. We inform the reader that the necessity to refrain from an ensemble averaging forces one to substitute it by an appropriate phase space averaging, see V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Fusion Energy 19, 99 (2000); J. Plasma Phys. 70, 251 (2004); 57, 273 (1997); Aust. J. Phys. 51, 843 (1998).
115. We inform the reader that the necessity to refrain from an ensemble averaging forces one to substitute it by an appropriate phase space averaging, see V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Fusion Energy 19, 99 (2000); J. Plasma Phys. 70, 251 (2004); 57, 273 (1997); Aust. J. Phys. 51, 843 (1998).
116. We inform the reader that the necessity to refrain from an ensemble averaging forces one to substitute it by an appropriate phase space averaging, see V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Fusion Energy 19, 99 (2000); J. Plasma Phys. 70, 251 (2004); 57, 273 (1997); Aust. J. Phys. 51, 843 (1998).
117. We inform the reader that the necessity to refrain from an ensemble averaging forces one to substitute it by an appropriate phase space averaging, see V. I. Erofeev, Phys. Plasmas 9, 1137 (2002); J. Fusion Energy 19, 99 (2000); J. Plasma Phys. 70, 251 (2004); 57, 273 (1997); Aust. J. Phys. 51, 843 (1998).
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