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arXiv:1806.06210 [nlin.CD]AbstractReferencesReviewsResources

Memory effects in the Fermi-Pasta-Ulam Model

Graziano Amati, Hugues Meyer, Tanja Schilling

Published 2018-06-16Version 1

We study the intermediate scattering function of the Fermi-Pasta-Ulam Model by means of coarse-graining techniques derived via projection operator formalism as well as molecular dynamics simulations. For a strongly anharmonic interaction potential, the simulations show that the relaxation time of density correlations to their equilibrium value depends sensitively on the system's temperature. We present a recursive method for an exact reconstruction of the time evolution of the function; its dynamics can be associated to a Generalized Langevin Equation, whose memory kernel is estimated with a cross analytical and numerical approach.

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