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Title: Numerical test of hydrodynamic uctuation theory in the Fermi-Pasta-Ulam chain.
Authors: Das, Suman G.
Dhar, Abhishek
Saito, Keiji
Mendl, Christian B.
Spohn, Herbert
Issue Date: 28-Jul-2014
Publisher: American Physical Society
Citation: Physical Review E, 2014, Vol.90, p012124
Abstract: Recent work has developed a nonlinear hydrodynamic fluctuation theory for a chain of coupled anharmonic oscillators governing the conserved fields, namely, stretch, momentum, and energy. The linear theory yields two propagating sound modes and one diffusing heat mode, all three with diffusive broadening. In contrast, the nonlinear theory predicts that, at long times, the sound mode correlations satisfy Kardar-Parisi-Zhang scaling, while the heat mode correlations have Lévy-walk scaling. In the present contribution we report on molecular dynamics simulations of Fermi-Pasta-Ulam chains to compute various spatiotemporal correlation functions and compare them with the predictions of the theory. We obtain very good agreement in many cases, but also some deviations.
Description: Open Access
ISSN: 1550-2376 (Online)
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Copyright: 2014 American Physical Society This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Physical Society
Appears in Collections:Research Papers (TP)

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