Fluid critical behavior at liquid–gas phase transition: Analytic method for microscopic description

IV Pylyuk - Journal of Molecular Liquids, 2020 - Elsevier
The behavior of fluids in the vicinity of the liquid–gas critical point is studied within the cell
fluid model framework. The analytic method for deriving the equation of state of a cell fluid …

Microscopic description of the critical behavior of three-dimensional Ising-like systems in an external field

MP Kozlovskii, IV Pylyuk, OO Prytula - Physical Review B—Condensed Matter …, 2006 - APS
We study the behavior of a three-dimensional Ising-like system in an external field near the
critical point by using the non-Gaussian spin-density fluctuations, namely, the quartic …

Free energy and equation of state of Ising-like magnet near the critical point

MP Kozlovskii, IV Pylyuk, OO Prytula - Nuclear Physics B, 2006 - Elsevier
The description of a three-dimensional Ising-like magnet in the presence of an external field
in the vicinity of the critical point by the collective variables method is proposed. Using the …

Free energy of 3D Ising-like system near the phase transition point

MP Kozlovskii - Condensed Matter Physics, 2009 - dspace.nbuv.gov.ua
A generalized representation for the scaling form of free energy of the system near the
phase transition point is proposed. Explicit expressions for coefficients as functions of the …

[PDF][PDF] Phase transitions in a vicinity of the vapor-liquid critical point

IR Yukhnovskii - Ukrainian Journal of Physics, 2015 - ujp.bitp.kiev.ua
A method of integration of the grand partition function for simple systems of interacting
particles is elaborated, by considering the theory of vapor-liquid critical point as an example …

Analytical calculation of the critical temperature and estimation of the critical region size for a fluid model

IV Pylyuk, MP Kozlovskii, OA Dobush - arxiv preprint arxiv:2309.13735, 2023 - arxiv.org
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 illustrated …

Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model

MP Kozlovskii, RV Romanik - arxiv preprint arxiv:1202.4569, 2012 - arxiv.org
The critical behavior of a 3D Ising-like system is studied at the microscopic level of
consideration. The free energy of ordering is calculated analytically as an explicit function of …

Critical behaviour of a three-dimensional one-component magnet in strong and weak external fields at T> Tc

MP Kozlovskii, IV Pylyuk, OO Prytula - Physica A: Statistical Mechanics and …, 2006 - Elsevier
The influence of a homogeneous external field on a three-dimensional uniaxial magnet
behaviour near the critical point is investigated on the microscopic level by the …

The order parameter and susceptibility of the 3D Ising-like system in an external field near the phase transition point

MP Kozlovskii, RV Romanik - Condensed Matter Physics, 2010 - dspace.nbuv.gov.ua
The present work is devoted to the investigation of the 3D Ising-like model in the presence of
an external field in the vicinity of critical point. The method of collective variables is used …

Phase space of collective variables and the Zubarev transition function

IR Yukhnovskii - Theoretical and Mathematical Physics, 2018 - Springer
We study the completeness of the transition function J (ρ− ̂ ρ ρ^) to the infinite set of
collective variables ρk. Zubarev first introduced this transition function in statistical physics …