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arXiv · 2301.08504

Hydrodynamic scales of integrable many-particle systems

Herbert Spohn
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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.

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Herbert Spohn. 2023-01-20. Hydrodynamic scales of integrable many-particle systems. https://arxiv.org/abs/2301.08504

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