Subdiffusive Energy Transport and Antipersistent Correlations Due to the Scattering of Phonons and Discrete Breathers

Abstract

While there are many physical processes showing subdiffusion and some useful particle models for understanding the underlying mechanisms have been established, a systematic study of subdiffusive energy transport is still lacking. Here we present convincing evidence that the energy subdiffusion and its antipersistent correlations take place in a Hamiltonian lattice system with both harmonic nearest-neighbor and anharmonic long-range interactions. We further understand the underlying mechanisms from the scattering of phonons and discrete breathers. Our result sheds new light on understanding the extremely slow energy transport.

5 pages, 5 figures

References in corpus (8)

• Anomalous transport in the crowded world of biological cells
• Lévy walks
• The nonequilibrium discrete nonlinear Schroedinger equation
• Thermal transport in the Fermi-Pasta-Ulam model with long-range interactions
• Crossover from ballistic to normal heat transport in the ${\varphi }^4$ lattice: If nonconservation of momentum is the reason, what is the mechanism?
• A Chain, a Bath, a Sink and a Wall
• Energy transport in the presence of long-range interactions
• Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains