Showing papers on "Gibbs–Duhem equation published in 1981"
TL;DR: In this paper, the existence of Gibbs states which are mixing but not extremal is shown, and possible ergodic properties of these Gibbs states are discussed by constructing a number of examples.
Abstract: Possible ergodic properties of Gibbs states are discussed by constructing a number of examples. In particular existence of Gibbs states which are mixing but not extremal is shown.
14 citations
01 Jan 1981
TL;DR: The basic thermodynamic relations for systems of variable composition were first derived by J. Willard Gibbs in his memoir entitled On the Equilibrium of Heterogeneous Substances (1874-1878) as mentioned in this paper.
Abstract: The basic thermodynamic relations for systems of variable composition were first derived by J. Willard Gibbs in his memoir entitled On the Equilibrium of Heterogeneous Substances (1874–1878). From the differential equation expressing the relation between the energy, the entropy, and the masses of the components of a homogeneous system of variable composition Gibbs then derived the conditions of equilibrium in a heterogeneous system, and from these equilibrium conditions he obtained the phase rule.
2 citations
TL;DR: In this article, it was shown that Gibbs' criterion for stability is a necessary condition for the dynamic stability of a classical (non-linear) inviscid fluid mixture, i.e.
Abstract: We prove that Gibbs' criterion for stability is a necessary condition for the dynamic stability of a classical (non-linear) inviscid fluid mixture.
1 citations