Breakdown of the power-law decay prediction of the heat current correlation in one-dimensional momentum conserving lattices

Shunda Chen; Yong Zhang; Jiao Wang; Hong Zhao

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arXiv · 1204.5933

Breakdown of the power-law decay prediction of the heat current correlation in one-dimensional momentum conserving lattices

Shunda Chen·Yong Zhang·Jiao Wang·Hong Zhao

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Abstract

We show that the asymmetric inter-particle interactions can induce rapid decay of the heat current correlation in one-dimensional momentum conserving lattices. When the asymmetry degree is appropriate, even exponential decay may arise. This fact suggests that the power-law decay predicted by the hydrodynamics may not be applied to the lattices with asymmetric inter-particle interactions, and as a result, the Green-Kubo formula may instead lead to a convergent heat conductivity in the thermodynamic limit. The mechanism of the rapid decay is traced back to the fact that the heat current has to drive a mass current additionally in the presence of the asymmetric inter-particle interactions.

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Shunda Chen, Yong Zhang, Jiao Wang, Hong Zhao. 2012-10-15. Breakdown of the power-law decay prediction of the heat current correlation in one-dimensional momentum conserving lattices. https://arxiv.org/abs/1204.5933

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