Anomalous energy transport in the FPU-beta chain

Details Anomalous energy transport in the FPU-beta chain Anomalous energy transport in the FPU-beta chain

2007-04-12

arxiv.org/abs/0704.1607v1

Comm. Pure Appl. Math. 61 (2008) 1753-1786

Physics

Mathematical Physics

33 pages, 2 EPS figures

Scientific paper

10.1002/cpa.20243

We consider the energy current correlation function for the FPU-beta lattice. For small non-linearity one can rely on kinetic theory. The issue reduces then to a spectral analysis of the linearized collision operator. We prove thereby that, on the basis of kinetic theory, the energy current correlations decay in time as t^(-3/5). It follows that the thermal conductivity is anomalous, increasing as N^(2/5) with the system size N.

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