Hydrodynamic scales of integrable many-particle systems

Abstract

The lecture notes cover the emergence of generalized hydrodynamics for the classical and quantum Toda chain, the classical Calogero fluid, the Ablowitz-Ladik discretization of the non-linear Schroedinger equation, and the Lieb-Liniger delta-Bose gas. Such diverse models have structurally identical hydrodynamic equations. Added is a comparison with conventional soliton gases.

190 pages, 12 Figures. arXiv admin note: substantial text overlap with arXiv:2101.06528

Cited by in corpus (2)

• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
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