Hydrodynamic Scales Of Integrable Many-body Systems
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A01=Herbert Spohn
A01=Shane O'Mara
Ablowitz-Ladik Model
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Age Group_Uncategorized
Author_Herbert Spohn
Author_Shane O'Mara
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Calogero Hyperbolic Model
Category1=Non-Fiction
Category=PHFC
Category=PHU
Collision Rate Ansatz
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Domain Wall
Dyson Brownian Motion
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Hard Rods
Landau-Lifshitz Fluctuation Theory
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Lieb-Liniger Delta-Bose Gas
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Particle-Based Hydrodynamics
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Quantum Toda Lattice
Random Lax Matrix
Random Matrix Theory
Scattering Coordinates
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Soliton-Based Hydrodynamics
TBA Equations
Toda Lattice
Variational Principle for Generalized Free Energy
Product details
- ISBN 9789811283529
- Publication Date: 09 Apr 2024
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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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 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.
