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An amendment to the second law. (English) Zbl 0877.73004
The authors propose a precise statement of the second law of thermodynamics – as used in continuum thermodynamics – which includes an “amendment” (expression used by the authors) in order to systematically rule out solutions of the balance equations which do not satisfy the second law. This “amendment” amounts to noting that “there are no reversible process directions at non-equilibrium”. This, according to the authors, is self-evident but never formulated. A consequence of this is that entropy production density is a function of the state. Furthermore, the relationship between the proposed amendment and the stronger Coleman-Mizel formulation of the second law is discussed, and it is shown that the additional constraints – known as Liu’s equations and the residual dissipation inequality – are indeed consequences of this amendment. The latter, therefore, provides from an operational viewpoint the most satisfactory formulation of the second law up to now.
Reviewer: G.A.Maugin (Paris)

MSC:
74A15 Thermodynamics in solid mechanics
80A05 Foundations of thermodynamics and heat transfer
80A99 Thermodynamics and heat transfer
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References:
[1] DOI: 10.1063/1.1725257
[2] Liu I. S., Arch. Rat. Mech. Anal. 46 pp 131– (1972)
[3] DOI: 10.1016/0022-3697(88)90205-3
[4] DOI: 10.1515/jnet.1979.4.5.277
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