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Phys. Rev. Lett. 71, 2401–2404 (1993)

Probability of second law violations in shearing steady states

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Denis J. Evans
Research School of Chemistry, Australian National University, Canberra, Australian Capital Territory 2600, Australia

E. G. D. Cohen
The Rockefeller University, 1230 York Avenue, New York, New York 10021

G. P. Morriss
School of Physics, University of South Wales, Kensington, New South Wales, Australia

See Also: Erratum

Received 26 March 1993; published in the issue dated 11 October 1993

We propose a new definition of natural invariant measure for trajectory segments of finite duration for a many-particle system. On this basis we give an expression for the probability of fluctuations in the shear stress of a fluid in a nonequilibrium steady state far from equilibrium. In particular we obtain a formula for the ratio that, for a finite time, the shear stress reverse sign, violating the second law of thermodynamics. Computer simulations support this formula.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.71.2401
DOI:
10.1103/PhysRevLett.71.2401
PACS:
47.10.+g, 05.20.-y

See Also

Erratum: Denis J. Evans, E. G. Cohen, and G. P. Morriss, Probability of Second Law Violations in Shearing Steady States, Phys. Rev. Lett. 71, 3616 (1993).