Phase behavior of a cell fluid model with modified morse potential

Kozlovskii, M. P.; Dobush, O.A.

doi:10.48550/arxiv.1912.00769

Cited by 2 publications

(9 citation statements)

References 19 publications

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“…Recently in [25], we have shown that the zero-mode approximation describes well the phase behavior of a one-component fluid. It is a mean-field type approximation taking into account the contribution from the variable ρ k at k = 0.…”

Section: The Zero-mode Approximationmentioning

confidence: 96%

“…This move provides calculating the grand partition function of the model within a single approach of the collective variables method. This work summarizes the results of [25] in the case of an asymmetric binary system. We have found that the critical temperature of the mixture is a function of its composition, described a method for calculating the equation of state of the mixture, and shown its pressure behavior along the Widom line.…”

Section: Introductionmentioning

confidence: 91%

“…We use the results of [25] to describe the properties of a binary system of particles. Consider the volume V contains N a particles of species a and N b particles of species b.…”

Section: Introductionmentioning

confidence: 99%

“…Recall that δ = a, b. According to the results of [25], we write the expression for the grand partition function of a binary cell fluid model as follows…”

Section: Introductionmentioning

confidence: 99%

“…is the inverse critical temperature of species δ (δ = a, b). The effective potentials of interaction [25] read…”

Section: Introductionmentioning

confidence: 99%

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Behavior of a binary asymmetric mixture of interacting particles in the supercritical region

Kozlovskii¹,

Dobush²

2020

Preprint

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We propose a method for describing a phase behavior of a system consisting of particles of two sorts. The interaction of each species is described by interaction potentials containing the repulsive and attractive components. Asymmetry is ensured by different values of the interaction potentials of each sort. The grand partition function of a binary mixture is calculated in the zero-mode approximation A line of critical points, which correspond to different proportions of the components, is calculated for specific values of parameters of the interaction potential. We have obtained an equation that relates the introduced mixing parameter x with the concentration of the fluid. An explicit expression of the pressure of the binary mixture is derived as a function of relative temperature and mixing parameter x to plot the Widom line. It is established that for boundary values of this parameter (x = 0 and x = 1), the equation of state of a mixture turns into equations of state of its separate species.

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Section: The Zero-mode Approximationmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 91%

“…We use the results of [25] to describe the properties of a binary system of particles. Consider the volume V contains N a particles of species a and N b particles of species b.…”

Section: Introductionmentioning

confidence: 99%

“…Recall that δ = a, b. According to the results of [25], we write the expression for the grand partition function of a binary cell fluid model as follows…”

Section: Introductionmentioning

confidence: 99%

“…is the inverse critical temperature of species δ (δ = a, b). The effective potentials of interaction [25] read…”

Section: Introductionmentioning

confidence: 99%

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Behavior of a binary asymmetric mixture of interacting particles in the supercritical region

Kozlovskii¹,

Dobush²

2020

Preprint

Self Cite

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Equation of state of a cell fluid model with allowance for Gaussian fluctuations of the order parameter

Pylyuk¹,

Dobush²

2020

Preprint

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The paper is devoted to the development of a microscopic description of the critical behavior of a cell fluid model with allowance for the contributions from collective variables with nonzero values of the wave vector. The mathematical description is performed in the supercritical temperature range (T > T c ) in the case of a modified Morse potential with additional repulsive interaction. The method, developed here for constructing the equation of state of the system by using the Gaussian distribution of the order parameter fluctuations, is valid beyond the immediate vicinity of the critical point for a wide range of density and temperature. The pressure of the system as a function of chemical potential and density is plotted for various fixed values of the relative temperature, both with and without considering the above-mentioned contributions. Compared with the results of the zero-mode approximation, the insignificant role of these contributions is indicated for temperatures T > T c . At T < T c , they are more significant.

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Phase behavior of a cell fluid model with modified morse potential

Cited by 2 publications

References 19 publications

Behavior of a binary asymmetric mixture of interacting particles in the supercritical region

Behavior of a binary asymmetric mixture of interacting particles in the supercritical region

Equation of state of a cell fluid model with allowance for Gaussian fluctuations of the order parameter

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