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Generalized Hydrodynamics of the Hyperbolic Calogero-Moser Model by Herbert Spohn

International Centre for Theoretical Sciences via YouTube

Overview

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Explore generalized hydrodynamics of the hyperbolic Calogero-Moser model in this comprehensive lecture by Herbert Spohn. Delve into one-dimensional classical fluids, local equilibrium, and hyperbolic conservation laws. Examine the Calogero model, free energy concepts, and the integrability of Toda fluids. Investigate two-particle scattering shifts for both Toda and Calogero models, scattering coordinates, and hydrodynamic equations. Learn about the rational Calogero-Moser model and gain insights into future research directions. Conclude with a Q&A session to deepen understanding of these advanced topics in nonequilibrium physics and transport processes.

Syllabus

Start
Introduction
Generalized hydrodynamics of the hyperbolic Calogero-Moser model
1D classical fluids
local equilibrium
3 hyperbolic conservation laws
Calogero
free energy
The Guess - Toda fluid integrable
Guess - 2particle Toda scattering shift
2 particle Calogero scattering shift
Scattering coordinates
Choice
hydrodynamic equations
rational Calogero-Moser model
Outlook
Q&A

Taught by

International Centre for Theoretical Sciences

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