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

Abstract : We study the dynamics of Fermi-Pasta-Ulam (FPU) one-dimensional models with both harmonic and anharmonic power-law long-range interactions. We show that the dynamics is described in the continuum limit by a generalized Boussinesq fractional 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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Submitted on : Saturday, November 7, 2020 - 12:55:33 PM
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Gervais Nazaire Beukam Chendjou, Jean Pierre Nguenang, Andrea Trombettoni, Thierry Dauxois, Ramaz Khomeriki, et al.. Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions. Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2018, 60, pp.115 - 127. ⟨10.1016/j.cnsns.2018.01.006⟩. ⟨hal-01900292⟩

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