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The collision rate ansatz for the classical Toda lattice

Considered is a generalized Gibbs ensemble of the classical Toda lattice. We establish that the collision rate ansatz follows from (i) the charge-current susceptibility matrix is symmetric and (ii) the stretch current is proportional to the momentum, hence conserved.

preprint2020arXivOpen access
Herbert Spohn
cond-mat.stat-mechmath-phmath.MP
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Herbert Spohn

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