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

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.