<i>Ab initio</i>study of the vapour-liquid critical point of a symmetrical binary fluid mixture

Patsahan, Oksana; Kozlovskii, M. P.; Melnyk, Roman

doi:10.1088/0953-8984/12/8/303

Cited by 7 publications

(18 citation statements)

References 38 publications

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“…The expressions for M (in) n are the same as those in [14]. Let us consider the Gaussian approximation of the functional of the grand partition function (n 2 in (3.1)):…”

Section: A Two-component Systemmentioning

confidence: 99%

“…Lately [14], for the SBFM we obtained the expression for the effective GLW Hamiltonian expressed in terms of the collective variables (fluctuating densities) ρ k and c k . The two representations yield the same results in the Gaussian approximation (see [13]).…”

Section: A Two-component Systemmentioning

confidence: 99%

“…The SBFM was studied in detail within the framework of the method of CV and the following model systems were considered: the hard-core Yukawa system [25], the hard-core Morse system [26] and the hard-core square-well system [14,17]. In the last case the non-universal critical properties were studied within the framework of the φ 4 model.…”

Section: A Two-component Systemmentioning

confidence: 99%

“…As a result, non-classical critical exponents and analytical expressions for thermodynamic functions are obtained [6,9]. More recently this theory has been developed for a binary fluid mixture [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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Ginzburg-Landau-Wilson Hamiltonian for a Multi-Component Continuous System: A Microscopic Description

Patsahan¹

2002

Condens. Matter Phys.

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Recently we proposed the microscopic approach to the description of the phase behaviour and critical phenomena in binary fluid mixtures. It was based on the method of collective variables (CV) with a reference system. The approach allowed us to obtain the functional of the Ginzburg-LandauWilson (GLW) Hamiltonian expressed in terms of the collective variables ("density" variables). The corresponding set of collective variables included the variable connected with the order parameter. In this paper, based on the previous results, we construct the GLW Hamiltonian in the phase space of the "field" variablesφ k (fluctuating fields) conjugate to the "density" variables. We apply the obtained GLW functional to the study of both the binary symmetrical mixture and the restricted primitive model. In the former case we consider the Gaussian approximation only and show that the obtained results are the same as those found previously using the CV method. In the latter case we calculate the phase diagram taking into account the powers ofφ k higher than the second one.

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“…The expressions for M (in) n are the same as those in [14]. Let us consider the Gaussian approximation of the functional of the grand partition function (n 2 in (3.1)):…”

Section: A Two-component Systemmentioning

confidence: 99%

Section: A Two-component Systemmentioning

confidence: 99%

Section: A Two-component Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ginzburg-Landau-Wilson Hamiltonian for a Multi-Component Continuous System: A Microscopic Description

Patsahan¹

2002

Condens. Matter Phys.

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“…Using the method of CVs, developed for a two-component continuous system [34,35] we can rewrite the grand partition function of the RPM in the following form:…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of the restricted primitive model: charge-ordering instability

Patsahan¹,

Mryglod²

2004

Condens. Matter Phys.

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We study the phase behaviour of the restricted primitive model (RPM) using a microscopic approach based on the method of collective variables with a reference system. Starting from the Hamiltonian of the RPM we derive the functional of the grand partition function given in terms of the two collective variables: the collective variables ρ k and c k describing fluctuations of the total number density and charge density, respectively. Within the framework of the Gaussian approximation we found the boundary of stability with respect to fluctuations of the charge density. It is shown that due to the approximated character of the theory the boundary of stability is very sensitive to the particular choice of the long-range part of potential inside the hard core. This point is discussed in more detail.

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First principle study of the phase behavior of ionic fluids

Patsahan

2005

Journal of Molecular Liquids

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Ab initiostudy of the vapour-liquid critical point of a symmetrical binary fluid mixture

Cited by 7 publications

References 38 publications

Ginzburg-Landau-Wilson Hamiltonian for a Multi-Component Continuous System: A Microscopic Description

Ginzburg-Landau-Wilson Hamiltonian for a Multi-Component Continuous System: A Microscopic Description

Phase diagram of the restricted primitive model: charge-ordering instability

First principle study of the phase behavior of ionic fluids

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