2015/10/12 by Nianbei Li, Junjie Liu, Li, Nianbei +6
Engineering · Materials Science · Physics and Astronomy · #Condensed matter physics #FOS: Physical sciences #Lattice (music) #Mean free path #Mechanical and Optical Resonators #Nonlinear system #Phonon #Physics #Quantum mechanics #Scattering #Square lattice #Statistical Mechanics (cond-mat.stat-mech) #Thermal Radiation and Cooling Technologies #Thermal properties of materials #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1510.03190
published in arXiv (Cornell University) (Cornell University) · 5 pages, 5 figures
arxiv created 2015/10/12 · openalex publication_date 2015/10/12 · arxiv updated 2015/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In the regime of strong nonlinearity, the validity of conventional perturbation based phonon transport theories is questionable. In particular, the renormalized phonons instead of phonons are responsible for heat transport in nonlinear lattices. In this work, we directly study the temperature and frequency dependent Mean Free Path (MFP) of renormalized phonons with the newly developed numerical tuning fork method. The typical 1D nonlinear lattices such as Fermi-Pasta-Ulam β (FPU-β) lattice and ϕ4 lattice are investigated in details. It is found that the MFPs are inversely proportional to the frequencies of renormalized phonons rather than the square of phonon frequencies predicted by existing phonon scattering theory.