Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-03-22
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages and 2 figures. Accepted for publication in Europhys. Lett
Scientific paper
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 $\kappa\propto1/T$ 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.
Li Baowen
Li Nianbei
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