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We study in momentum-conserving systems, how nonintegrable dynamics mayaffect thermal transport properties. As illustrating examples, twoone-dimensional (1D) diatomic chains, representing 1D fluids and lattices,respectively, are numerically investigated. In both models, the two species ofatoms are assigned two different masses and are arranged alternatively. Thesystems are nonintegrable unless the mass ratio is one. We find that when themass ratio is slightly different from one, the heat conductivity may keepsignificantly unchanged over a certain range of the system size and as the massratio tends to one, this range may expand rapidly. These results establish anew connection between the macroscopic thermal transport properties and theunderlying dynamics.

Non-integrability and the Fourier heat conduction law