Generalized hydrodynamics of the classical Toda system

  title={Generalized hydrodynamics of the classical Toda system},
  author={Benjamin Doyon},
  journal={Journal of Mathematical Physics},
  • B. Doyon
  • Published 20 February 2019
  • Mathematics, Physics
  • Journal of Mathematical Physics
We obtain the exact generalized hydrodynamics for the integrable Toda system. The Toda system can be seen in a dual way, both as a gas and as a chain. In the gas point of view, using the elastic and factorized scattering of Toda particles, we obtain the generalized free energy and exact average currents and write down the Euler hydrodynamic equations. This is written both as a continuity equation for the density of asymptotic momenta and in terms of normal modes. This is based on the classical… 
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