Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-01-21
Phys. Rev. E 78, 061103 (2008)
Physics
Condensed Matter
Statistical Mechanics
19 pages, 8 figures
Scientific paper
10.1103/PhysRevE.78.061103
We compare two effective phonon theories, which have both been applied recently to study heat conduction in anharmonic lattices. In particular, we study the temperature dependence of the thermal conductivity of the Fermi-Pasta-Ulam model via the Debye formula, showing the equivalence of both approaches. The temperature for the minimum of the thermal conductivity and the corresponding scaling behavior are analytically calculated, which agree well with the result obtained from nonequilibrium simulations. We also give quantum corrections for the thermal conductivity from quantum self-consistent phonon theory. The vanishing behavior at the low temperature regime and the existence of an umklapp peak are qualitatively consistent with experimental studies.
Buyukdagli Sahin
He Dahai
Hu Beilai
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