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Phys. Rev. Lett. 86, 5486–5489 (2001)

Simple One-Dimensional Model of Heat Conduction which Obeys Fourier’s Law

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P. L. Garrido1, P. I. Hurtado1, and B. Nadrowski2
1Departamento de E.M y Física de la Materia, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
2Institut Curie, UMR 168, 11, rue Pierre et Marie Curie, Paris Cedex 05, France

Received 13 February 2001; published in the issue dated 11 June 2001

We present the computer simulation results of a chain of hard-point particles with alternating masses interacting on its extremes with two thermal baths at different temperatures. We found that the system obeys Fourier’s law at the thermodynamic limit. This result is against the actual belief that one-dimensional systems with momentum conservative dynamics and nonzero pressure have infinite thermal conductivity. It seems that thermal resistivity occurs in our system due to a cooperative behavior in which light particles tend to absorb much more energy than the heavier ones.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.5486
DOI:
10.1103/PhysRevLett.86.5486
PACS:
44.05.+e, 44.10.+i, 66.70.+f

See Also

Comment: Abhishek Dhar, Comment on “Simple One-Dimensional Model of Heat Conduction which Obeys Fourier’s Law”, Phys. Rev. Lett. 88, 249401 (2002).

Comment: Haibin Li, Yinghai Wang, and Hong Zhao, Comment on “Simple One-Dimensional Model of Heat Conduction which Obeys Fourier’s Law”, Phys. Rev. Lett. 89, 079401 (2002).

Reply: P. L. Garrido and P. I. Hurtado, Garrido and Hurtado Reply:, Phys. Rev. Lett. 88, 249402 (2002).

Reply: P. L. Garrido and P. I. Hurtado, Garrido and Hurtado Reply:, Phys. Rev. Lett. 89, 079402 (2002).