Abstract
We discuss properties of the Boltzmann-Peierls equation for weakly anharmonic lattice dynamics. In particular, we explain how energy type correlations are predicted from this transport equation. An intriguing application is the famous Fermi-Pasta-Ulam β chain, for which we prove that the energy current correlations in equilibrium decay for long times as t −3/5, in the kinetic approximation.
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Spohn, H. (2009). Energy Current Correlations for Weakly Anharmonic Lattices. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_41
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DOI: https://doi.org/10.1007/978-90-481-2810-5_41
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2809-9
Online ISBN: 978-90-481-2810-5
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