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Updated: Jul 14, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Equilibration and universal heat conduction in fermi-pasta-ulam chains
Trieu Mai1, Abhishek Dhar, Onuttom Narayan
1Department of Physics, University of California, Santa Cruz, California 95064, USA.
Abstract:
It is shown numerically that for Fermi-Pasta-Ulam (FPU) chains with alternating masses and heat baths at slightly different temperatures at the ends, the local temperature (LT) on small scales behaves paradoxically in steady state. This expands the long established problem of equilibration of FPU chains. A well-behaved LT appears to be achieved for equal mass chains; the thermal conductivity is shown to diverge with chain length N as N(1/3), relevant for the much debated question of the universality of one-dimensional heat conduction. The reason why earlier simulations have obtained systematically higher exponents is explained.
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