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Nonuniversal heat conduction of one-dimensional lattices
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 …