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Phys. Rev. E 68, 010201(R) (2003) [3 pages]

One-dimensional heat conductivity exponent from a random collision model

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J. M. Deutsch and Onuttom Narayan
Department of Physics, University of California, Santa Cruz, California 95064, USA

Received 15 January 2003; published 18 July 2003

We obtain numerically the thermal conductivity of a quasi-one-dimensional classical chain of hard sphere particles as a function of the length of the chain, introducing a fresh model for this problem. The conductivity scales as a power law of the length over two decades, with an exponent very close to the analytical prediction of 1/3.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.010201
DOI:
10.1103/PhysRevE.68.010201
PACS:
66.60.+a, 68.65.-k, 05.10.Ln, 75.40.Mg