Anomalous Fourier’s Law and Long Range Correlations in a 1D Non-momentum Conserving Mechanical Model View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2010-12

AUTHORS

A. Gerschenfeld, B. Derrida, J. L. Lebowitz

ABSTRACT

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. More... »

PAGES

757-766

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10955-010-0076-8

DOI

http://dx.doi.org/10.1007/s10955-010-0076-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1009720749


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41 schema:description 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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