Hydrodynamic Scales of Integrable Many-Body Systems
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This book provides a broad introduction to integrable systems with many degrees of freedom. Within a much larger orbit, discussed are models such as the classical Toda lattice, Calogero fluid, and Ablowitz-Ladik discretized nonlinear Schr dinger equation. On the quantum mechanical side, featured are the Lieb-Liniger delta-Bose gas and the quantum Toda lattice. As a genuinely novel twist, the study deals with random initial data described by generalized Gibbs ensembles with parameters of slow spatial variation. This is the hydrodynamic scale, in spirit similar to the ballistic Euler scale of nonintegrable simple fluids. While integrable microscopic particle models are very diverse, the central theme of this book is to elucidate their structural similarity on hydrodynamic scales.
Format:Hardcover
Language:English
ISBN:9811283524
ISBN13:9789811283529
Release Date:April 2024
Publisher:World Scientific Publishing Company
Length:256 Pages
Weight:1.13 lbs.
Dimensions:0.6" x 6.0" x 9.0"
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