Large Scale Structures in Nonlinear Physics

Proceedings of a Workshop Held in Villefranche-sur-Mer, France, 13–18 January 1991

Jean-Daniel Fournier, Pierre-Louis Sulem (Herausgeber)

Buch | Softcover

VIII, 356 Seiten

2013 | 1. Softcover reprint of the original 1st ed. 1991
Springer Berlin (Verlag)
978-3-662-13836-6 (ISBN)

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This book collects together recent results on large-scalestructures in non-linear science. Coherent states,convective and turbulent patterns, inverse cascades,interfaces and cooperative phenomena in fluids and plasmasare discussed, together with the implementation of conceptsof statistical mechanics to particle physics and nuclearmatter. Special attention is devoted to phenomena, such asmixing, which display macroscopicfeatures, even thoughgenerated by small-scale dynamical processes. In thiscontext, homoclinic structure, the KAM theorem, Lyapunovstability,and singularities are addressed. A newperturbative technique for classical and quantum fields andnew results concerning the analysis of hierarchiallyorganized objects are presented.The book should be attractive for a large audience includingengineers, mathematicians and physicists.

The phase-diffusion equation and its regularization for natural convective patterns.- Asymptotic time behavior of nonlinear classical field equations.- Nonlinear waves and the KAM theorem: Nonlinear degeneracies.- Homoclinic structures in open flows.- Large scale structures in kinetic plasma turbulence.- Supersonic homogeneous turbulence.- Large-scale instabilities and inverse cascades in ordinary and MHD flows at low Reynolds numbers.- From quantum fields to fractal structures: Intermittency in particle physics.- Hot QCD and the quark-gluon plasma.- New approach to the solution of nonlinear problems.- Numerical study of the transition to chaotic convection inside spherical shells.- Direct numerical simulations of natural and controlled transition of three-dimensional mixing layers.- Organized vortices as maximum entropy structures.- Spectral degeneracy and hydrodynamic stability.- Non-linear stability of plane Couette flow.- Continued-function solutions and eikonal approximations.- Quantum chaos and Sabine's law of reverberation in ergodic rooms.- Self-organized criticality, earthquakes and plate tectonics.- Psi-series and their summability for nonintegrable dynamical systems.- Bound solitons in the nonlinear Schrödinger/Ginzburg-Landau equation.- The colour of the force in the renormalized Navier-Stokes equation : A free parameter?.- Structure of homogeneous turbulence observed in a direct numerical simulation.- New results on the fine scale structure of fully developed turbulence.- On fast dynamo action in steady chaotic flows.- Magnetic structures in fast dynamo.- Rigorous wavelet analysis for multifractal sets.- Eigenfunction analysis of turbulent mixing phenomena.- Wavelets and the analysis of astronomical objects.

Erscheint lt. Verlag	20.11.2013
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	VIII, 356 p. 89 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	634 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	collective variables • Dynamical Systems • Fields • fractal structure • Fraktale • kollektive Phaenomene • Mechanics • Mischen • Mixing • Particle physics • Plasma • Quantum Chaos • quantum field • stability • Structure
ISBN-10	3-662-13836-0 / 3662138360
ISBN-13	978-3-662-13836-6 / 9783662138366
Zustand	Neuware