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

Hengzhe Yan, Jie Ren and Nianbei Li ()
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Hengzhe Yan: Institute of Systems Science and Department of Physics, College of Information Science and Engineering, Huaqiao 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

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 6, 1-5

Abstract: 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

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-10117-3

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