Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
Statistical Mechanics
2018-07-31 v2
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.
Cite
@article{arxiv.1802.00247,
title = {Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions},
author = {G. N. B. Chendjou and J. P. Nguenang and A. Trombettoni and T. Dauxois and R. Khomeriki and S. Ruffo},
journal= {arXiv preprint arXiv:1802.00247},
year = {2018}
}
Comments
Corrected coefficients of the nonlinear terms of the generalized fractional Boussinesq equations, minor typos amended