Equilibration and universal heat conduction in Fermi-Pasta-Ulam chains

Mai, Trieu ; Dhar, Abhishek ; Narayan, Onuttom (2007) Equilibration and universal heat conduction in Fermi-Pasta-Ulam chains Physical Review Letters, 98 (18). 1843011-184301_4. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v98/i18/e184301

Related URL: http://dx.doi.org/10.1103/PhysRevLett.98.184301


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, 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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Source:Copyright of this article belongs to The American Physical Society.
ID Code:79685
Deposited On:28 Jan 2012 12:09
Last Modified:18 May 2016 21:58

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