Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 141, Issue 5, Pages 757-766Publisher
SPRINGER
DOI: 10.1007/s10955-010-0076-8
Keywords
Current; Anomalous Fourier law; Hard particle gas
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Funding
- NSF [DMR-044-2066]
- AFOSR [AF-FA9550-10]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0802120] Funding Source: National Science Foundation
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We study by means of numerical simulations the velocity reversal model, a one-dimensional mechanical model of heat transport introduced in 1985 by Ianiro and Lebowitz. Our numerical results indicate that this model, which does not conserve momentum, exhibits nevertheless an anomalous Fourier's law similar to the ones previously observed in momentum-conserving models. This disagrees with what can be expected by solving the Boltzmann equation (BE) for this system. The pair correlation velocity field also looks very different from the correlations usually seen in diffusive systems, and shares some similarity with those of momentum-conserving heat transport models.
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