Hydrodynamic Scales of Integrable Many-Body Systems (Hardcover)

Hydrodynamic Scales of Integrable Many-Body Systems By Herbert Spohn Cover Image

Hydrodynamic Scales of Integrable Many-Body Systems (Hardcover)


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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.

Product Details ISBN: 9789811283529
ISBN-10: 9811283524
Publisher: World Scientific Publishing Company
Publication Date: March 9th, 2024
Pages: 256
Language: English