Topic
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 uniqueness of limit Gibbs states of one dimensional models with a unique ground state is established at low temperatures, and the ground states are assumed to be stable at low temperature.
Abstract: Uniqueness of limit Gibbs states of one dimensional models with a unique “stable” ground state is established at low temperatures.
6 citations
6 citations
TL;DR: In this article, Gibbs-Duhem integrations are performed to trace the vapor-liquid coexistence curves of homopolymers on a lattice, and the integration entails simultaneous grand canonical simulations for the two coexisting phases and consequently no pressure evaluations or volume moves are necessary.
Abstract: Gibbs-Duhem integrations are performed to trace the vapor-liquid coexistence curves of homopolymers on a lattice. The integration entails simultaneous grand canonical simulations for the two coexisting phases and, consequently, no pressure evaluations or volume moves are necessary. Since mechanical equilibration of lattice systems can be troublesome, the proposed method offers some advantages over alternative approaches for phase equilibrium simulation, such as the integration of Clapeyron's equation and the Gibbs ensemble. Simulation results are presented for homopolymers and block copolymers; good agreement is found with previous Gibbs-ensemble results for homopolymers.
6 citations
TL;DR: In this paper, the existence of phase transitions in the sense of uniqueness of the tempered Gibbs state is proved for potentials without hard core by first proving uniqueness of Gibbs measures for related hard-core potentials and then taking an appropriate limit of those Gibbs measures.
Abstract: We investigate one-dimensional continuum grandcanonical Gibbs states corresponding to finite range superstable many-body potentials. Absence of phase transitions in the sense of uniqueness of the tempered Gibbs state is proved for potentials without hard-core by first proving uniqueness of the Gibbs measures for related hard-core potentials and then taking an appropriate limit of those Gibbs measures.
6 citations
TL;DR: In this article, it was shown that the minimum molar Gibbs free energy for a binary compound showing small deviations from the stoichiometric composition can be calculated from the standard free energy of formation.
6 citations