Hydrodynamic scales of integrable many-body systems

• Verfasst von: Spohn, Herbert [VerfasserIn]
• Titel: Hydrodynamic scales of integrable many-body systems
• Verf.angabe: Herbert Spohn (Technical University of Munich, Germany)
• Verlagsort: New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
• Verlag: World Scientific
• E-Jahr: 2024
• Jahr: [2024]
• Umfang: xi, 242 Seiten
• Illustrationen: Diagramme
• Fussnoten: Literaturverzeichnis: Seite 221-236
• ISBN: 978-981-12-8352-9
• Schlagwörter: (s)Vielteilchensystem / (s)Integrables System / (s)Hydrodynamik
• Sprache: eng
• RVK-Notation: UL 3100
• K10plus-PPN: 1888493127

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 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. --