Abstract
In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulations confirm that the finite-size thermal conductivity diverges with system size L as kappaproportional toL(alpha). However, the exponent alpha deviates systematically from the theoretical prediction alpha=1/3 proposed in a recent paper [O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002)].
Original language | English |
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Article number | 067102 |
Number of pages | 4 |
Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
Volume | 68 |
Issue number | 6 |
DOIs | |
Publication status | Published - Dec 2003 |
Keywords
- thermal-conductivity
- lattices
- transport