Volume 93, Number 5, March 2011
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||10 March 2011|
Power-law divergent heat conductivity in one-dimensional momentum-conserving nonlinear lattices
Department of Physics, Renmin University of China - Beijing 100872, PRC
Accepted: 9 February 2011
We numerically study heat conduction in a few one-dimensional Fermi-Pasta-Ulam (FPU)-type lattices by both nonequilibrium heat bath and equilibrium Green-Kubo algorithms. In those lattices, heat conductivity κ is known to diverge with length N as Nα. It is commonly expected that the running exponent α should monotonously decreases with N and a recent study has shown that α for the FPU-β lattice saturates to 1/3 as N∼104. However, our calculations clearly show that α changes its behaviour, increasing towards the asymptotic value 2/5 for yet larger N values. As for the purely quartic lattice, α = 2/5 is clearly observed in four orders of magnitude of N ranging from 102 to 106. This unexpected reversal phenomenon can be observed more clearly in a much shorter FPU-αβ lattice.
PACS: 44.10.+i – Heat conduction / 05.60.Cd – Classical transport / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.