Large Scale Structures in Nonlinear Physics

1. Front Matter

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2. The phase-diffusion equation and its regularization for natural convective patterns

   • T. Passot, A. C. Newell

   Pages 1-20

3. Asymptotic time behavior of nonlinear classical field equations

   • Yves Pomeau

   Pages 21-36

4. Nonlinear waves and the KAM theorem: Nonlinear degeneracies

   • Walter Craig, C. E. Wayne

   Pages 37-49

5. Homoclinic structures in open flows

   • Vered Rom-Kedar

   Pages 50-72

6. Large scale structures in kinetic plasma turbulence

   • D. F. Escande

   Pages 73-104

7. Supersonic homogeneous turbulence

   • D. H. Porter, P. R. Woodward, A. Pouquet

   Pages 105-125

8. Large-scale instabilities and inverse cascades in ordinary and MHD flows at low Reynolds numbers

   • B. Galanti, P. -L. Sulem

   Pages 126-146

9. From quantum fields to fractal structures: Intermittency in particle physics

   • R. Peschanski

   Pages 147-160

10. Hot QCD and the quark-gluon plasma

    • Michel Le Bellac

    Pages 161-189

11. New approach to the solution of nonlinear problems

    • Carl M. Bender

    Pages 190-210

12. Numerical study of the transition to chaotic convection inside spherical shells

    • Lorenzo Valdettaro, Michel Rieutord

    Pages 211-221

13. Direct numerical simulations of natural and controlled transition of three-dimensional mixing layers

    • P. Comte, M. Lesieur, E. Lamballais

    Pages 222-231

14. Organized vortices as maximum entropy structures

    • Joël Sommeria

    Pages 232-241

15. Spectral degeneracy and hydrodynamic stability

    • I. Goldhirsch

    Pages 242-251

16. Non-linear stability of plane Couette flow

    • Bérengère Dubrulle

    Pages 252-261

17. Continued-function solutions and eikonal approximations

    • H. M. Fried

    Pages 262-266

18. Quantum chaos and Sabine's law of reverberation in ergodic rooms

    • Olivier Legrand, Didier Sornette

    Pages 267-274

19. Self-organized criticality, earthquakes and plate tectonics

    • Didier Sornette, Anne Sornette, Christian Vanneste

    Pages 275-277

20. Psi-series and their summability for nonintegrable dynamical systems

    • J. -D. Fournier, M. Tabor

    Pages 278-287

This book collects together recent results on large-scale structures in non-linear science. Coherent states, convective and turbulent patterns, inverse cascades, interfaces and cooperative phenomena in fluids and plasmas are discussed, together with the implementation of concepts of statistical mechanics to particle physics and nuclear matter. Special attention is devoted to phenomena, such as mixing, which display macroscopicfeatures, even though generated by small-scale dynamical processes. In this context, homoclinic structure, the KAM theorem, Lyapunov stability,and singularities are addressed. A new perturbative technique for classical and quantum fields and new results concerning the analysis of hierarchially organized objects are presented. The book should be attractive for a large audience including engineers, mathematicians and physicists.

• Fraktale
• Mischen
• Plasma
• collective variables
• dynamical systems
• fields
• fractal structure
• kollektive Phaenomene
• mechanics
• mixing
• particle physics
• quantum chaos
• quantum field
• stability
• structure

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