Strong langmuir turbulence

Rudakov, L. I.; Цытович, В. Н.

doi:10.1016/0370-1573(78)90114-x

Cited by 122 publications

(63 citation statements)

References 24 publications

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“…These phenomena result in the formation of strongly correlated struc-tures (solitons, cavitons, etc. ), generation of strong magnetic fields, heating, and effective particle acceleration [1][2][3][4][5][6][7][8][9][10].…”

Section: Discussionmentioning

confidence: 99%

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Modulational interactions in quantum plasmas

et al. 2013

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A formalism for treating modulational interactions of electrostatic fields in collisionless quantum plasmas is developed, based on the kinetic Wigner-Poisson model of quantum plasma. This formalism can be used in a range of problems of nonlinear interaction between electrostatic fields in a quantum plasma, such as development of turbulence, self-organization, as well as transition from the weak turbulent state to strong turbulence. In particular, using this formalism, we obtain the kinetic quantum Zakharov equations, that describe nonlinear coupling of high frequency Langmuir waves to low frequency plasma density variations, for cases of non-degenerate and degenerate plasma electrons.

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Section: Discussionmentioning

confidence: 99%

“…One of the specific nonlinear phenomena in plasma physics is modulational interaction [1,2]. Such interactions describe various modulational effects in nonlinear media, such as amplitude modulation, frequency modulation, phase modulation, self modulation, etc.…”

Section: Introductionmentioning

confidence: 99%

Modulational interactions in quantum plasmas

et al. 2013

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“…Similar equations are met in laser physics [252], in the theory of turbulent plasma [253,254], in the description of magnetic matter [255], and in the theory of many other nonlinear materials [256,257]. For Bose condensates, Eq.…”

Section: Soliton Formationmentioning

confidence: 94%

“…Dark solitons are called cavitons in the theory of plasma [253,254] and in laser physics [252]. There can be two types of dark solitons.…”

Section: Soliton Formationmentioning

confidence: 99%

Cold bosons in optical lattices

2009

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Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate are formulated. Theoretical methods for describing regular periodic lattices are presented. A special attention is paid to the discussion of Bose-atom properties in the frame of the boson Hubbard model. Optical lattices with arbitrary strong disorder, induced by random potentials, are treated. Possible applications of cold atoms in optical lattices are discussed, with an emphasis of their usefulness for quantum information processing and quantum computing.

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“…The numerical work is often concerned with one-dimensional models, although Nicholson and Goldman [4] deal with a two-dimensional plasma, and it is normally based on the so-called Zakharov equations which were derived by Zakharov [5] to describe the development of the modulational instability in an unmagnetized plasma. From these equations it follows that in two or three dimensions collapse will occur, and much numerical work has been devoted to a study of the existence and dynamics of the so-called Langmuir collapse (for a review of this type see, e.g., Rudakov and Tsytovich [6] or Thornhill and ter Haar [7] ) it is necessary to use numerical methods as the only known analytical solution of the two-or three-dimensional Zakharov equations is the planar Langmuir soliton. Unfortunately, the numerical procedure can only be applied to the early stages of the collapse, since the Zakharov equations lose their validity when the field intensities become too large.…”

Section: Introductionmentioning

confidence: 99%