Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
arXiv:1802.00247 · doi:10.1016/j.cnsns.2018.01.006
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.
arXiv commentCorrected coefficients of the nonlinear terms of the generalized fractional Boussinesq equations, minor typos amended
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