Dynamics of Energy Transport in a Toda Ring

Details Dynamics of Energy Transport in a Toda Ring Dynamics of Energy Transport in a Toda Ring

2010-07-07

arxiv.org/abs/1007.1173v2

Physics

Condensed Matter

Statistical Mechanics

34 pages, 11 figures. Small changes made in response to referee's comments

Scientific paper

We present results on the relationships between persistent currents and the known conservation laws in the classical Toda ring. We also show that perturbing the integrability leads to a decay of the currents at long times, with a time scale that is determined by the perturbing parameter. We summarize several known results concerning the Toda ring in 1-dimension, and present new results relating to the frequency, average kinetic and potential energy, and mean square displacement in the cnoidal waves, as functions of the wave vector and a parameter that determines the non linearity.

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