Hydrodynamic scales of integrable many-body systems
By: Spohn, Herbert.
Publisher: Chennai World Scientific 2024Description: xi, 242p.ISBN: 9789811283529.Subject(s): HydrodynamicsDDC classification: 532.5 | Sp64h Summary: 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| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books
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PK Kelkar Library, IIT Kanpur | General Stacks | 532.5 Sp64h (Browse shelf) | Available | A186467 |
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| 532.5 SH2DA V.1 THE DYNAMICS AND THERMODYNAMICS OF LCOMPRESSIBLE FLUID FLOW | 532.5 SH2DD THE DYNAMICS AND THERMODYNAMICS OF COMPRESSIBLE FLUID FLOW | 532.5 Si61s Statistical microhydrodynamics | 532.5 Sp64h Hydrodynamic scales of integrable many-body systems | 532.5 St3f FLOW MEASUREMENT WITH ORIFICE METERS | 532.5 St3f FLOW MEASUREMENT WITH ORIFICE METERS | 532.5 St49t The theory of laminar boundary layers in compressible fluids |
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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