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arxiv: nlin/0312058 · v1 · submitted 2003-12-22 · 🌊 nlin.PS

A simple statistical explanation for the localization of energy in nonlinear lattices with two conserved quantities

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keywords energylocalizationnonlinearstatisticalcomputedconditionsconservedderived
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The localization of energy in the discrete nonlinear Schroedinger equation is explained with statistical methods. The partition function and the entropy of the system are computed for low-amplitude initial conditions. Detailed predictions for the long-time solution are derived.

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