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APS » Journals » Phys. Rev. E » Volume 67 » Issue 1
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Phys. Rev. E 67, 015203(R) (2003) [4 pages]

Anomalous heat conduction in a one-dimensional ideal gas

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Giulio Casati1 and Tomaž Prosen2
1International Center for the Study of Dynamical Systems, Università degli Studi dell’Insubria,Istituto Nazionale per la Fisica della Materia, Unità di Como, Via Valleggio 11, 22100 Como, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
2Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia

Received 2 April 2002; published 24 January 2003

We provide firm convincing evidence that the energy transport in a one-dimensional gas of elastically colliding free particles of unequal masses is anomalous, i.e., the Fourier law does not hold. Our conclusions are confirmed by a theoretical and numerical analysis based on a Green-Kubo-type approach specialized to momentum-conserving lattices.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.015203
DOI:
10.1103/PhysRevE.67.015203
PACS:
05.45.-a, 44.10.+i, 05.70.Ln
 
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