Shunda Chen — Università dell'Insubria #
Non-integrability and the Fourier heat conduction law #
We study in momentum-conserving systems, how non-integrable 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 non-integrable 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.
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Reference:<br/>
[1] S. Chen, J. Wang, G. Casati, and G. Benenti, Phys. Rev. E 90, 032134  (2014).