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

Gervais Nazaire Beukam Chendjou,Jean Pierre Nguenang,Andrea Trombettoni,Thierry Dauxois,Ramaz Khomeriki,Stefano Ruffo

Communications in Nonlinear Science and Numerical Simulation（2018）

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摘要

We study the dynamics of Fermi-Pasta-Ulam (FPU) 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 (GFBE), 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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关键词

Fermi-Pasta-Ulam (FPU) model,Long-Range Interactions (LRI),Fractional differential equations

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