2007/03/22 by Nianbei Li, Li, Nianbei, Baowen Li +1
Engineering · Materials Science · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Thermal Radiation and Cooling Technologies #Thermal properties of materials #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.cond-mat/0703567
6 pages and 2 figures. Accepted for publication in Europhys. Lett
arxiv created 2007/03/22 · openalex publication_date 2007/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine the temperature dependence of thermal conductivity of one dimensional nonlinear (anharmonic) lattices with and without on-site potential. It is found from computer simulation that the heat conductivity depends on temperature via the strength of nonlinearity. Based on this correlation, we make a conjecture in the effective phonon theory that the mean-free-path of the effective phonon is inversely proportional to the strength of nonlinearity. We demonstrate analytically and numerically that the temperature behavior of the heat conductivity κ∝1/T is not universal for 1D harmonic lattices with a small nonlinear perturbation. The computer simulations of temperature dependence of heat conductivity in general 1D nonlinear lattices are in good agreements with our theoretic predictions. Possible experimental test is discussed.