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arXiv · 1007.1173

Dynamics of Energy Transport in a Toda Ring

B. Sriram Shastry·A. P. Young
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Abstract

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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B. Sriram Shastry, A. P. Young. 2010-09-27. Dynamics of Energy Transport in a Toda Ring. https://doi.org/10.1103/physrevb.82.104306

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