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arXiv · 1308.6061

Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions

Lei Wang·Bambi Hu·Baowen Li
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Abstract

We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current power spectra analysis. Very strong finite-size effects are clearly observed. Such effects make the heat conduction obey a Fourier-like law in a wide range of lattice lengths. However, in yet longer lattice lengths, the heat conductivity regains its power-law divergence. Therefore the power-law divergence of the heat conductivity in the thermodynamic limit is verified, as is expected by many existing theories.

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Lei Wang, Bambi Hu, Baowen Li. 2013-11-12. Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions. https://doi.org/10.1103/physreve.88.052112

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