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.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, four thermodynamic consistency tests are discussed along with sufficient background information so that approximations to these otherwise rigorous tests are fully appreciated, and the results provide information on the data and the models used to fit them.
88 citations
TL;DR: The difference in the behavior of nano-systems compared to macro- systems is due to their high specific surface area (Gibbs) and not to the high curvature of their interface (Kelvin).
Abstract: The Kelvin equation, the Gibbs equation and the Gibbs-Thomson equation are compared. It is shown that the Kelvin equation (on equilibrium vapor pressure above nano-droplets) can be derived if the inner pressure due to the curvature (from the Laplace equation) is substituted incorrectly into the external pressure term of the Gibbs equation. Thus, the Kelvin equation is excluded in its present form. The Gibbs-Thomson equation (on so-called equilibrium melting point of a nano-crystal) is an analog of the Kelvin equation, and thus it is also excluded in its present form. The contradiction between the critical nucleus size (from the Gibbs equation) and the so-called equilibrium melting point of nano-crystals (from the Gibbs-Thomson equation) is explained. The contradiction is resolved if the Gibbs equation is applied to study both nucleation and equilibrium of nano-crystals. Thus, the difference in the behavior of nano-systems compared to macro-systems is due to their high specific surface area (Gibbs) and not to the high curvature of their interface (Kelvin). Modified versions of the Kelvin equation and the Gibbs-Thomson equation are derived from the Gibbs equation for phases with a general shape and for a spherical phase.
86 citations
TL;DR: In this paper, a method for calculating activities, activity coefficients, and other partial molal properties for two components of a ternary system from experimental measurements of this property for the third component is presented.
85 citations
TL;DR: The nonadditive thermodynamic formalism as discussed by the authors is a generalization of the classically classical thermodynamic formulation, in which the topological pressure of a single function is replaced by a variational principle for a sequence of functions.
Abstract: The nonadditive thermodynamic formalism is a generalization of the
classical thermodynamic formalism, in which the topological pressure
of a single function $\phi$ is replaced by the topological pressure
of a sequence of functions $\Phi=(\phi_n)_n$. The theory also
includes a variational principle for the topological pressure,
although with restrictive assumptions on $\Phi$. Our main objective
is to provide a new class of sequences, the so-called almost
additive sequences, for which it is possible not only to establish a
variational principle, but also to discuss the existence and
uniqueness of equilibrium and Gibbs measures. In addition, we give
several characterizations of the invariant Gibbs measures, also in
terms of an averaging procedure over the periodic points.
82 citations
TL;DR: In this article, the authors present the PhysRevB study on the relationship between the number of neurons and the amount of energy required to synthesize a neuron. http://journals.aps.org/prb/abstract/10.1103/PhysRevB.62.14720.
Abstract: This is the publisher's version, also available electronically from http://journals.aps.org/prb/abstract/10.1103/PhysRevB.62.14720.
79 citations