Collision rate ansatz for the classical Toda lattice.
basic_science · Level V
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- Record sourced from PubMed, PMID 32688512.
- Also identified by DOI 10.1103/PhysRevE.101.060103.
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Abstract
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.