The effect of discrete breathers on heat conduction in nonlinear chains

Details The effect of discrete breathers on heat conduction in nonlinear chains The effect of discrete breathers on heat conduction in nonlinear chains

2011-07-26

arxiv.org/abs/1107.5270v3

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

Intensive studies in the past decades have suggested that the heat conductivity $\kappa$ diverges with the system size $L$ as $\kappa\sim L^{\alpha}$ in one dimensional momentum conserving nonlinear lattices and the value of $\alpha$ is universal. But in the Fermi-Pasta-Ulam-$\beta$ lattices with next-nearest-neighbor interactions we find that $\alpha$ strongly depends on $\gamma$, the ratio of the next-nearest-neighbor coupling to the nearest-neighbor coupling. We relate the $\gamma$-dependent heat conduction to the interactions between the long-wavelength phonons and the randomly distributed discrete breathers. Our results provide an evidence to show that the nonlinear excitations affect the heat transport.

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