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portada Hydrodynamic Scales of Integrable Many-Body Systems
Type
Physical Book
Author
Publisher
Language
English
Pages
256
Format
Hardcover
Dimensions
22.9 x 15.2 x 1.6 cm
Weight
0.51 kg.
ISBN13
9789811283529
Categories

Hydrodynamic Scales of Integrable Many-Body Systems

Herbert Spohn (Author) · World Scientific Publishing Company · Hardcover

Hydrodynamic Scales of Integrable Many-Body Systems - Spohn, Herbert

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Synopsis "Hydrodynamic Scales of Integrable Many-Body Systems"

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 Schrödinger 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.

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