Anomalous energy transport in the FPU-beta chain

Abstract

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.

arXiv comment33 pages, 2 EPS figures

References in corpus (8)

• Thermal conduction in classical low-dimensional lattices
• Local Temperature and Universal Heat Conduction in FPU chains
• Fermi-Pasta-Ulam $\beta$ lattice: Peierls equation and anomalous heat conductivity
• FPU $\beta$ model: Boundary Jumps, Fourier's Law and Scaling
• Energy Transport in Weakly Anharmonic Chains
• Studies of thermal conductivity in Fermi-Pasta-Ulam like lattices
• Kinetic Limit for Wave Propagation in a Random Medium
• Collisional invariants for the phonon Boltzmann equation

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