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Phys. Rev. Lett. 93, 230601 (2004) [4 pages]

Temperature in Nonequilibrium Systems with Conserved Energy

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Eric Bertin1, Olivier Dauchot2, and Michel Droz1
1Department of Theoretical Physics, University of Geneva, CH-1211 Geneva 4, Switzerland
2SPEC, CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France

Received 30 June 2004; published 1 December 2004

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing us to define a temperature Tth along the same lines as in the equilibrium microcanonical ensemble. The fluctuation-dissipation relation is explicitly found to be linear, but its slope differs from the inverse temperature Tth-1. A numerical renormalization group procedure suggests that, at a coarse-grained level, all models behave similarly, leading to a two-parameter description of their macroscopic properties.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.230601
DOI:
10.1103/PhysRevLett.93.230601
PACS:
05.20.–y, 05.10.Cc, 05.70.Ln

See Also

Reply: E. Bertin, O. Dauchot, and M. Droz, Bertin, Dauchot, and Droz Reply:, Phys. Rev. Lett. 94, 208902 (2005).

Reply: Yair Srebro and Dov Levine, Comment on “Temperature in Nonequilibrium Systems with Conserved Energy”, Phys. Rev. Lett. 94, 208901 (2005).