Hydrodynamic scales of integrable many-body systems / Herbert Spohn.

Author/creator Spohn, Herbert, 1946-
Format Electronic
Publication InfoNew Jersey : World Scientific, [2024]
Descriptionxi, 242 pages : illustrations ; 24 cm
Supplemental ContentFull text available from World Scientific eBooks and eTextbooks package
Subjects

Abstract 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©œdinger 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. -- publisher
Bibliography noteIncludes bibliographical references (pages 221-236) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2024930690
ISBN9789811283529 (hardcover)
ISBN(electronic book for institutions)
ISBN(electronic book for individuals)

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