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The Bethe-Lax correspondence

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

We argue that the Lax matrix encodes the classical analogue of Bethe quasiparticles in classical integrable systems. We use the resulting “Bethe-Lax correspondence’’ to derive a quasiparticle kinetic theory for the classical Toda and Calogero models, which passes stringent numerical tests.

This talk is part of the Isaac Newton Institute Seminar Series series.

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