Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain

Suman G. Das, Abhishek Dhar, Keiji Saito, Christian B. Mendl, Herbert Spohn

研究成果: Article査読

73 被引用数 (Scopus)


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.

ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
出版ステータスPublished - 2014 7 23

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学


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