Download Wave Turbulence by Sergey Nazarenko (auth.) PDF
By Sergey Nazarenko (auth.)
Wave Turbulence refers back to the statistical thought of weakly nonlinear dispersive waves. there's a huge and growing to be spectrum of actual purposes, starting from sea waves, to plasma waves, to superfluid turbulence, to nonlinear optics and Bose-Einstein condensates. past the basics the ebook hence additionally covers new advancements similar to the interplay of random waves with coherent constructions (vortices, solitons, wave breaks), inverse cascades resulting in condensation and the transitions among vulnerable and robust turbulence, turbulence intermittency in addition to finite process measurement results, reminiscent of “frozen” turbulence, discrete wave resonances and avalanche-type power cascades. This e-book is an outgrow of a number of lectures classes held by means of the writer and, for that reason, written and based relatively as a graduate textual content than a monograph, with many workouts and recommendations provided alongside the best way. the current compact description basically addresses scholars and non-specialist researchers wishing to go into and paintings during this field.
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Additional info for Wave Turbulence
Imaging of intermittency in ripplewave turbulence. Science 278, 1609 (1997) 120. : Weak turbulence in media with decay spectrum. Zh. Priklad. Tech. Fiz. 4, 35–39 (1965) [J. Appl. Mech. Tech. 4, 22–24 (1965)] 121. : Kolmogorov spectra in weak turbulence problems. N. ) Handbook of Plasma Physics, vol. 2, Basic Plasma Physics, pp. 3–36. North-Holland, Elsevier (1984) 122. : Energy spectrum for stochastic oscillations of a fluid surface. Dokl. Acad. Nauk SSSR 170, 1292–1295 (1966) (translation: Sov.
Kraichnan found Kolmogorov-like spectra for each of the two cascades . Thus, let us review the results concerning 2D turbulence. Let us consider a 2D flow. For instance, horizontal motions in the planetary atmosphere stretch over far larger scales than the atmosphere height, and this system can therefore be approximated by a 2D flow. Rapidly rotating fluids provide another example (via Taylor–Proudmann two-dimensionalization). Charged particles in a very strong external magnetic field give yet another example .
Kolmogorov Spectra of Turbulence 1: Wave Turbulence. Springer, Berlin (1992) 128. : Dynamics of the Bose-Einstein condensation. Phys. D 201, 203–211 (2005) 129. : Sov. Phys. Dokl. 32, 560 (1987) 130. : Canonical variables for Rossby waves and plasma drift waves. Phys. Lett. A 126(8–9), 497 (1988) 14 1 Introduction 131. : Spectrum of acoustic turbulence. Sov. Phys. Dokl. 15, 439 (1970) 132. : Sov. Phys. JETP 25, 718 (1967) 133. : Cosmological experiments in superfluid helium? Nature 317, 505 (1985) 134.