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.
Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions / Chendjou, Gervais Nazaire Beukam; Nguenang, Jean Pierre; Trombettoni, Andrea; Dauxois, Thierry; Khomeriki, Ramaz; Ruffo, Stefano. - In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. - ISSN 1007-5704. - 60:(2018), pp. 115-127. [10.1016/j.cnsns.2018.01.006]
Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
Trombettoni, Andrea;Ruffo, Stefano
2018-01-01
Abstract
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.| File | Dimensione | Formato | |
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