Hydrodynamic Scales Of Integrable Manybody Systems Herbert Spohn by Herbert Spohn 9789811283529, 9811283524 instant download after payment.

This book provides a broad introduction to integrable systems with many degrees of freedom. Within the much larger domain, there are well studied classical models such as Toda lattice, Calogero fluid, Ablowitz-Ladik discretized nonlinear Schrödinger equation, and Korteweg-de Vries equation. For quantum mechanical systems, there are the Lieb-Liniger delta-Bose gas and the quantum Toda fluid. The truly novel twist is the study of random initial data described by generalized Gibbs ensembles with parameters of slow spatial variation. This is the hydrodynamic scale, comparable to the ballistic Euler scale of simple fluids. While integrable microscopic models are very diverse, the central theme of this book is to elucidate their structural similarity on hydrodynamic scales.