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The problem of the diverging thermal conductivity in one-dimensional (1D) lattices is considered. By numerical simulations, it is confirmed that the thermal conductivity of the diatomic Toda lattice diverges, which is the opposite of the current popular belief. Also, the diverging exponent is found to be almost the same as the FPU chain. It is reconfirmed that the diverging thermal conductivity is universal in 1D systems, where the total momentum preserves.
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Takahiro Hatano (1999) studied this question.
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