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Gibbs–Duhem equation
About: Gibbs–Duhem equation is a research topic. Over the lifetime, 393 publications have been published within this topic receiving 6248 citations. The topic is also known as: Gibbs-Duhem equation.
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TL;DR: In this article, the shape-dependence of the entropy density in a nonadditive system results in the violation of the Gibbs-Duhem equation, which is observable in cold-atom experiment with polarized dipolar gas.
Abstract: Thermodynamic properties of extensive but nonadditive systems are investigated. The precise definitions of additivity and extensivity are presented, and we will see that additivity derives several important properties including the shape-independence of the thermodynamic functions, the concavity of the entropy, and the equivalence of ensembles. In nonadditive systems, some of the above properties can be violated. It is pointed out that the shape-dependence of the entropy density in a nonadditive system results in the violation of the Gibbs-Duhem equation. As an example, the dipolar gas is numerically studied and the violation of the Gibbs-Duhem equation is confirmed. The predicted violation of the Gibbs-Duhem equation should be observable in cold-atom experiment with polarized dipolar gas.
2 citations
21 Feb 2001
TL;DR: In this article, an equation of state for porous mixtures is described based on the mixing properties of the Gibbs potential, which is the sum of Gibbs potentials of the components of a mixture, neglecting surface energy.
Abstract: An equation of state for porous mixtures is described based on the mixing properties of the Gibbs potential. For a mixture, neglecting surface energy, the Gibbs potential is simply the sum of the Gibbs potentials of the components. Nitrogen is added to account for porosity, with the mole number proportional to the porosity. The Gibbs potential for fluid species is calculated by means of a perturbation theory originated by Weeks, Chandler, and Anderson. A semi-empirical Debye-Gruneisen equation of state with a Murnaghan form for the zero degree isotherm is used to describe solids. Due to the complexity of the Weeks-Chandler-Anderson fluid equation of state, the possibility of using an ideal gas representation for nitrogen was investigated. A very good match to the shock Hugoniot for porous copper results from this approach. The model is also used to calculate the Hugoniot for an Al-TEFLON mixture and compared to data obtained by Miller and Lindfors and by Holt and Mock.
2 citations
01 Oct 1993-Metallurgical and Materials Transactions B-process Metallurgy and Materials Processing Science
2 citations
01 Jun 1961
2 citations