Non-integrability and the Fourier heat conduction law

Abstract

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

References in corpus (5)

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• Local Temperature and Universal Heat Conduction in FPU chains
• Self-Consistent Mode-Coupling Approach to 1D Heat Transport
• Detailed Examination of Transport Coefficients in Cubic-Plus-Quartic Oscillator Chains
• Conservation Laws and Thermodynamic Efficiencies

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