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El. knyga: Non-Linear Instabilities in Plasmas and Hydrodynamics

(Space Research Institute, Russia), (Space Research Institute, Russia), (Space Research Institute, Russia)
  • Formatas: 293 pages
  • Serija: Series in Plasma Physics
  • Išleidimo metai: 22-Nov-2017
  • Leidėjas: Institute of Physics Publishing
  • Kalba: eng
  • ISBN-13: 9781351428217
Kitos knygos pagal šią temą:
  • Formatas: 293 pages
  • Serija: Series in Plasma Physics
  • Išleidimo metai: 22-Nov-2017
  • Leidėjas: Institute of Physics Publishing
  • Kalba: eng
  • ISBN-13: 9781351428217
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Offers an introduction to the physics of fast secondary or induced nonlinear instabilities in wave-sustaining media, integrating a full general theory with results from across several subject areas. Concepts are presented along with specific calculations and detailed descriptions of mathematics involved. Some phenomena explained are wave-turbulent instabilities, vortex dynamics, beam-plasma interactions, plasma confinement, and magnetic fields in galaxies. Moiseev is affiliated with the Space Research Institute, Russia. Translated from Russian. Annotation c. Book News, Inc., Portland, OR (booknews.com)

For the first time in a single book, Non-Linear Instabilities in Plasmas and Hydrodynamics presents the underlying physics of fast secondary instabilities. This exceptionally well-written, introductory book discusses the basic ideas of the physics of secondary or induced, nonlinear instabilities in wave-sustaining media. The authors, world-renowned experts in the field, have brought together the results of papers scattered throughout the literature to explain subjects as diverse as fluctuation chaos, wave-turbulent instabilities, vortex dynamos, beam-plasma interactions, plasma confinement, and the origins of typhoons in the Earth's atmosphere and magnetic fields in galaxies. Paving the way for new and exciting research in the future, this broad, interdisciplinary book enables a wide range of physicists to apply the concepts discussed to obtain new results in plasma physics, space physics, hydrodynamics, and geophysics.

Recenzijos

"The present book is of large interest for theoreticians working in the fields of plasma kinetics and magnetohydrodynamics and their applications to astrophysics and geophysics. It should not be missing in any astrophysical and geophysical library." -Astronomische Nachtrichten

Preface ix
Direct nonlinear instabilities
1(19)
Parametric decay instability
1(1)
Decay instabilities in media with wave-modulated phase velocity; qualitative theory and principal features of PDI
2(5)
PDI of magnetohydrodynamic waves (quantitative theory)
7(7)
Modulation instability
14(1)
Explosive instability of negative-energy waves
15(5)
Induced instabilities, the symmetry and the evolution of non-equilibrium systems
20(16)
Systems with multiparametric non-equilibrium
20(2)
Group methods of analyzing secondary quasi-stationary states
22(8)
Introduction
22(1)
Scaling transformation group
23(3)
Supersymmetry group
26(4)
Effective collision frequencies in turbulent media
30(2)
Induced drift instabilities
32(4)
External noise and stability of plasmas
36(21)
Introduction
36(2)
Fluctutional chaos
38(3)
Universal noise-induced plasma instability and accelerated fluctuational dynamics in the vicinity of a point of instability
41(10)
Anomalous diffusion of particles
51(3)
Fluctuations of transfer coefficients in the plasma and in hydrodynamics
54(3)
Non-standard evolution of turbulent media
57(26)
Introduction
57(1)
Drift instability cascade and energy transfer in ionospheric turbulence
58(9)
Wave-turbulent instability
67(16)
The helical mechanism of large-scale structure generation in continuous media
83(78)
Introduction
83(1)
Helical structures and helical mechanisms of generation in hydrodynamics
84(9)
On the role of helicity, on the similarity and differences between the magnetic and vortex dynamo in turbulent media
84(3)
Generation of large-scale helical vortices in convective media
87(3)
Helical mechanism of generation of large-scale structures in non-convective hydrodynamic media
90(3)
Hydrodynamic α-effect in compressible media
93(12)
Introduction
93(1)
Qualitative discussion
94(4)
Closure of averaged equation
98(2)
α as a function of compressibility coefficient: limiting cases
100(2)
Large-scale instability
102(1)
Discussion
103(2)
Large-scale vortical instability and convection: further progress
105(12)
Equation of vortical instability due to convective turbulence and Coriolis force
105(7)
Rayleigh-Benar convection in turbulent fluid at very large Reynolds numbers
112(5)
Reverse energy cascade in uniform turbulent shear flow
117(12)
Introduction
117(1)
Formulation of the problem. Basic equations. Homogeneous helical anisotropic flow
118(2)
Closing the equations for perturbations of turbulent shear flow in the second-order correlation approximation
120(4)
Interval instability of turbulent Couette flow
124(5)
Helicity as a possible physical mechanism for the amplification of typhoon-type vortical perturbations in the atmosphere and of the modulation of rotation frequency of the Earth
129(15)
Introductory remarks
129(1)
Qualitative analysis of the role played by helicity in typhoon generation
130(4)
On typhoon precursors
134(2)
On the mechanism of modulation of the number of strong earthquakes and of the Earth's rotation frequency
136(8)
The importance and prospects of further research into nonlinear instabilities in helicoidal media (concluding remarks)
144(17)
Two-dimensional or helical turbulence?
144(3)
Vortical processes in the Jovian atmosphere induced by the collision with the Shoemaker-Levy 9 comet
147(9)
Some yet unsolved problems
156(5)
Index 161
V.N Oraevsky