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Energy super-diffusion in 1d deterministic nonlinear lattices with broken standard momentum

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  • Hengzhe Yan

    (Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao University
    Center for Phononics and Thermal Energy Science, China-EU Joint Center for Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Sciences and Engineering, Tongji University)

  • Jie Ren

    (Center for Phononics and Thermal Energy Science, China-EU Joint Center for Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Sciences and Engineering, Tongji University)

  • Nianbei Li

    (Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao University)

Abstract

The property of total momentum conservation is a key issue in determining the energy diffusion behavior for 1d nonlinear lattices. The super-diffusion of energy has been found for 1d momentum conserving nonlinear lattices with the only exception of 1d coupled rotator model. However, for all the other 1d momentum non-conserving nonlinear lattices studied so far, the energy diffusion is normal. Here we investigate the energy diffusion in a 1d nonlinear lattice model with inverse couplings. For the standard definition of momentum, this 1d inverse coupling model does not preserve the total momentum while it exhibits energy super-diffusion behavior. In particular, with a parity transformation, this 1d inverse coupling model can be mapped into the well-known 1d FPU-β model although they have different phonon dispersion relations. In contrary to the 1d FPU-β model where the long-wave length phonons are responsible for the super-diffusion behavior, the short-wave length phonons contribute to the super-diffusion of energy in the 1d inverse coupling model. Graphical abstract

Suggested Citation

  • Hengzhe Yan & Jie Ren & Nianbei Li, 2020. "Energy super-diffusion in 1d deterministic nonlinear lattices with broken standard momentum," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(6), pages 1-5, June.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:6:d:10.1140_epjb_e2020-10117-3
    DOI: 10.1140/epjb/e2020-10117-3
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    Keywords

    Statistical and Nonlinear Physics;

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