Collision rate ansatz for the classical Toda lattice.

@article{Spohn2020CollisionRA,
  title={Collision rate ansatz for the classical Toda lattice.},
  author={H. Spohn},
  journal={Physical review. E},
  year={2020},
  volume={101 6-1},
  pages={
          060103
        }
}
  • H. Spohn
  • Published 2020
  • Mathematics, Physics, Medicine
  • Physical review. E
  • We consider a generalized Gibbs ensemble of the classical Toda lattice. We establish that the collision rate ansatz follows because (i) the charge-current susceptibility matrix is symmetric and (ii) the stretch current is proportional to the momentum, hence conserved. The method applies also to other integrable many-body systems, either classical or quantum, provided there is a self-conserved current. 

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