Collision rate ansatz for the classical Toda lattice
Herbert SpohnZentrum Mathematik and Physik Department, Technische Universität München, Boltzmannstraße 3, 85747 Garching, Germany and Department of Physics, Tokyo Institute of Technology, Tokyo 152-8550, Japan
2020en
ABI
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.
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Cited by 20 references