18 citations · 42 across the 20 of their papers we have counts for
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Phase diagram of a double-occupancy cell model of a fluid with Curie-Weiss interaction
R. V. Romanik, O. A. Dobush, M. P. Kozlovskii +2
A double-occupancy cell model of a fluid with Curie-Weiss interaction is studied. First, we show that the model is isomorphic to the Blume-Capel model on a complete graph through a…
The cell fluid model with Curie-Weiss interactions: special cases and analytical results
O. A. Dobush, M. P. Kozlovskii, I. V. Pylyuk +2
Inspired by previous extensive numerical studies of a cell fluid model with Curie-Weiss interactions, we concentrate on some analytically tractable special cases in its description…
Thermodynamic response functions of the Curie-Weiss cell fluid model. I. Supercritical region
M. P. Kozlovskii, O. A. Dobush, R. V. Romanik +2
In this work, we present an analytical study of the thermodynamic response functions of a multiple-occupancy cell fluid model with competing Curie-Weiss attraction and local repuls…
Triple point in a cell fluid model with effective temperature-dependent attraction
M. P. Kozlovskii, O. A. Dobush, R. V. Romanik +2
We study a cell fluid model of a many-particle system with Curie-Weiss-type interaction potential. It is considered as an open system in a fixed volume partitioned into a large num…
Pair distribution function of the cell fluid model with Curie-Weiss interaction
R. V. Romanik, O. A. Dobush, M. P. Kozlovskii +2
In this paper we present results for the pair distribution function for the cell fluid model with Curie-Weiss interaction. As a supplementary result, one- and two-particle densitie…
Entropy of the cell fluid model with Curie-Weiss interaction
R. V. Romanik, O. A. Dobush, M. P. Kozlovskii +2
Entropy of the cell fluid model with Curie-Weiss interaction is obtained in analytical form as a function of temperature and chemical potential. A parametric equation is derived re…
Influence of attractive parts of interaction potentials on critical point parameters
I. V. Pylyuk, O. A. Dobush, M. P. Kozlovskii +2
We investigate how microscopic features of interparticle potentials influence macroscopic critical point parameters. Our analytical calculations are based on the cell model for con…
Influence of microscopic parameters on phase behavior of a cell model with Curie-Weiss interaction
O. A. Dobush, M. P. Kozlovskii, I. V. Pylyuk +1
We investigate how varying two microscopic parameters - cell volume and the ratio between repulsion and attraction intensities - affect the phase behavior of a cell model with a Cu…
A new special function related to a discrete Gauss-Poisson distribution and some physics of the cell model with Curie-Weiss interactions
O. A. Dobush, M. A. Shpot
Inspired by previous studies in statistical physics [see, in particular, Kozitsky at al., A phase transition in a Curie-Weiss system with binary interactions, Condens. Matter Phys.…
Supercritical Crossover Lines in the Cell Fluid Model
O. A. Dobush, M. P. Kozlovskii, R. V. Romanik
A cell fluid model with a modified Morse potential is studied. The supercritical states are considered with respect to a possibility to build a separation boundary between liquid-l…
Thermodynamic response functions in a cell fluid model
O. A. Dobush, M. P. Kozlovskii, R. V. Romanik +1
Thermodynamic response functions, namely the isothermal compressibility, the thermal pressure coefficient, and the thermal expansion coefficient, are calculated for a many-particle…
Analytical calculation of the critical temperature and estimation of the critical region size for a fluid model
I. V. Pylyuk, M. P. Kozlovskii, O. A. Dobush
An analytical procedure for calculating the critical temperature and estimating the size of critical region for a cell fluid model is developed. Our numerical calculations are illu…
Morse fluids in the immediate vicinity of the critical point: Calculation of thermodynamic coefficients
I. V. Pylyuk, M. P. Kozlovskii, O. A. Dobush +1
The previously proposed approach for the microscopic description of the critical behavior of Morse liquids based on the cell fluid model is applied to the case where the parameters…
Equation of state of a cell fluid model with allowance for Gaussian fluctuations of the order parameter
I. V. Pylyuk, O. A. Dobush
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 w…
Behavior of a binary asymmetric mixture of interacting particles in the supercritical region
M. P. Kozlovskii, O. A. Dobush
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 contain…
Phase behavior of a cell fluid model with modified morse potential
M. P. Kozlovskii, O. A. Dobush
The present manuscript gives a theoretical description of the first-order phase transition in a cell fluid model with a modified Morse potential and additional repulsive interactio…
The equation of state of a cell fluid model in the supercritical region
M. P. Kozlovskii, I. V. Pylyuk, O. A. Dobush
The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature () is elaborated using the renorma…
Using a fluid cell model for description of a phase transition in simple liquid alkali metals
M. P. Kozlovskii, O. A. Dobush, I. V. Pylyuk
This article embraces a theoretical description of the first order phase transition in liquid metals with application of a cell fluid model. The results are obtained through calcul…
Phase transition in a cell fluid model
M. P. Kozlovskii, O. A. Dobush
We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of…
Representation of the grand partition function of the cell model: The state equation in the mean-field approximation
Mikhailo Kozlovskii, Oksana Dobush
The method to calculate the grand partition function of a particle system, in which constituents interact with each other via potential, that include repulsive and attractive compo…