{ "id": "2004.03802", "version": "v1", "published": "2020-04-08T04:19:24.000Z", "updated": "2020-04-08T04:19:24.000Z", "title": "The collision rate ansatz for the classical Toda lattice", "authors": [ "Herbert Spohn" ], "comment": "9 pages, 1 figure", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2020-04-08T04:19:24.000Z" } ], "analyses": { "keywords": [ "collision rate ansatz", "classical toda lattice", "charge-current susceptibility matrix", "stretch current", "generalized gibbs" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }