Fermi-Pasta-Ulamβlattice: Peierls equation and anomalous heat conductivity

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Fermi-Pasta-Ulam β lattice: Peierls equation and anomalous heat conductivity

The Peierls equation is considered for the Fermi-Pasta-Ulam β lattice. Explicit form of the linearized collision operator is obtained. Using this form the decay rate of the normal mode energy as a function of wave vector k is estimated to be proportional to k. This leads to the t long time behavior of the current correlation function, and, therefore, to the divergent coefficient of heat conduct...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2003

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.68.056124