Anomalous energy transport in the FPU‐β chain |
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Authors: | Jani Lukkarinen Herbert Spohn |
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Affiliation: | Technische Universit?t München, Zentrum Mathematik, Boltzmannstra?e 3, D‐85747 Garching, Germany |
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Abstract: | We consider the energy current correlation function for the FPU‐β lattice. For small nonlinearity 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 N2/5 with the system size N. © 2008 Wiley Periodicals, Inc. |
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