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Large Scale Structures in Nonlinear Physics: Proceedings of a Workshop Held in Villefranche-sur-Mer, France, 13–18 January 1991: Lecture Notes in Physics, cartea 392

Editat de Jean-Daniel Fournier, Pierre-Louis Sulem
en Limba Engleză Paperback – 20 noi 2013
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.
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Specificații

ISBN-13: 9783662138366
ISBN-10: 3662138360
Pagini: 368
Ilustrații: VIII, 356 p. 89 illus.
Dimensiuni: 170 x 244 x 19 mm
Greutate: 0.59 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.