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arXiv · 1802.00247

Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions

G. N. B. Chendjou·J. P. Nguenang·A. Trombettoni·T. Dauxois·R. Khomeriki·S. Ruffo
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Abstract

We study the dynamics of Fermi-Pasta-Ulam chains with both harmonic and anharmonic power-law long-range interactions. We show that the dynamics is described in the continuum limit by a generalized fractional Boussinesq differential equation, whose derivation is performed in full detail. We also discuss a version of the model where couplings are alternating in sign.

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G. N. B. Chendjou, J. P. Nguenang, A. Trombettoni, T. Dauxois, R. Khomeriki, S. Ruffo. 2018-02-01. Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions. https://doi.org/10.1016/j.cnsns.2018.01.006

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