000			01221 a2200181 4500
003			OSt
020			_a9789811283529
040			_cIIT Kanpur
041			_aeng
082			_a532.5 _bSp64h
100			_aSpohn, Herbert
245			_aHydrodynamic scales of integrable many-body systems _cHerbert Spohn
260			_bWorld Scientific _c2024 _aChennai
300			_axi, 242p
520			_aThis 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
650			_aHydrodynamics
942			_cBK
999			_c567140 _d567140