Excess properties of liquid mixtures from the perturbation theory of Barker–Henderson

Koyuncu, Mustafa; Demirtaş, Ayşe Ayda; Ogul, R.

doi:10.1016/s0378-3812(01)00638-0

Cited by 9 publications

(12 citation statements)

References 16 publications

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“…The generating functionals for the Green functions are written in the form of the path integrals, which are generally not Gaussian, and these integrals are calculated by perturbation theory. The perturbation methods with truncated potentials were also found to be successful to produce the properties of many body systems [15,27]. Hopefully, this formulation in terms of the density matrices may be a useful tool for further analysis of the effects of the disordered potentials, which would be worthwhile to provide a better understanding of the localization.…”

Section: Discussionmentioning

confidence: 93%

Quantum many-body interactions in the presence of disordered potentials

2018

Turk J Phys

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Abstract:The time evolution of the quantum nonequilibrium states of many-body particles is described with a set of hierarchies of quantum kinetic equations with quantum wave functions. A collision term is obtained in terms of two-body interactions in the mean-field with a disordered potential, which is proposed for the first time. The implications and the limits of applicability of the resulting kinetic equations are discussed.

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Section: Discussionmentioning

confidence: 93%

Quantum many-body interactions in the presence of disordered potentials

2018

Turk J Phys

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“…In this theory, molecules are modeled as chains of bonded spherical segments and the properties of a fluid are obtained by expanding about the same properties of a reference fluid. Gross and Sadowski (2001) proposed the perturbed-chain modification (PC-SAFT) to account for the effects of chain length on the segment dispersion energy, by extending the perturbation theory of Barker and Henderson (1969) to a hard chain reference (Koyuncu et al 2002). This version of SAFT properly predicts the phase behavior of mixtures containing high molecular weight fluids such as the large wax molecules.…”

Section: Pc-saft Modelmentioning

confidence: 99%

Experimental study and a proposed new approach for thermodynamic modeling of wax precipitation in crude oil using a PC-SAFT model

Behbahani¹

2016

Pet. Sci.

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A powerful method is necessary for thermodynamic modeling of wax phase behavior in crude oils, such as the perturbed-chain statistical associating fluid theory (PC-SAFT). In this work, a new approach based on the wax appearance temperature of crude oil was proposed to estimate PC-SAFT parameters in thermodynamic modeling of wax precipitation from crude oil. The proposed approach was verified using experimental data obtained in this work and also with those reported in the literature. In order to compare the performance of the PC-SAFT model with previous models, the wax precipitation experimental data were correlated using previous models such as the solid solution model and multi-solid phase model. The results showed that the PC-SAFT model can correlate more accurately the wax precipitation experimental data of crude oil than the previous models, with an absolute average deviation less than 0.4 %. Also, a series of dynamic experiments were carried out to determine the rheological behavior of waxy crude oil in the absence and presence of a flow improver such as ethylene-vinyl acetate copolymer. It was found that the apparent viscosity of waxy crude oil decreased with increasing shear rate. Also, the results showed that the performance of flow improver was dependent on its molecular weight.

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“…where ρ = N V is the number density of hard-sphere mixture, and the equivalent hard-sphere diameter, d m , is composition dependent [3]:…”

Section: Equations Of State For Hard-spheresmentioning

confidence: 99%

“…where λ ij is a parameter, whose value depends on the nature of the mixture and can be estimated by fitting to an experimental data [28] or to second virial coefficient data [3]. The values of λ ii and λ ij , which are related to a pure component and mixture, respectively, are given in Ref.…”

Section: Perturbation Theory Of Leonard-henderson-barkermentioning

confidence: 99%