A simple SCOZA for simple fluids

Lee, C.-L; Stell, G.; Høye, Johan S.

doi:10.1016/j.molliq.2003.11.004

Cited by 8 publications

(10 citation statements)

References 27 publications

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“…For values (5) of the parameters 0 and , the quantity expressed in ( 11) is small for the large values of ( ≫ 1). Moreover, ≥ 1, when ≤ 0 , where 0 = 1.87047.…”

Section: A Modelmentioning

confidence: 99%

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Phase Behavior of a Cell Fluid Model with Modified Morse Potential

Kozlovskii

Dobush

2020

Ukr. J. Phys.

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The present article gives a theoretical description of a first-order phase transition in the cell fluid model with a modified Morse potential and an additional repulsive interaction. In the framework of the grand canonical ensemble, the equation of state of the system in terms of chemical potential–temperature and terms of density–temperature is calculated for a wide range of the density and temperature. The behavior of the chemical potential as a function of the temperature and density is investigated. The maximum and minimum admissible values of the chemical potential, which approach each other with decreasing the temperature, are exhibited. The existence of a liquid-gas phase transition in a limited temperature range below the critical Tc is established.

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“…For values (5) of the parameters 0 and , the quantity expressed in ( 11) is small for the large values of ( ≫ 1). Moreover, ≥ 1, when ≤ 0 , where 0 = 1.87047.…”

Section: A Modelmentioning

confidence: 99%

“…This method is mostly a numerical procedure for the structural analysis of a system based on the calculation of paired correlation functions. One of its implementations is the self-consistent Ornstein-Zernike approximation (SCOZA) [4,5].…”

Section: Introductionmentioning

confidence: 99%

Phase Behavior of a Cell Fluid Model with Modified Morse Potential

Kozlovskii

Dobush

2020

Ukr. J. Phys.

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“…Plenty of successful studies were dedicated to the explanation of the nature of the first-order phase transitions at a macroscopic level, but a resemblant theoretical description at the microscopic stage is still a question to be answered. Most approaches to a description of phase transitions and critical phenomena in fluids are based on the following: complete scaling ideas [2,3]; methods of the theory of integral equations, in particular, self-consistent Ornstein-Zernike approximation (SCOZA) [4,5]; perturbation series expansion such as hierarchical reference theory [6]; non-perturbative renormalization group approach [7]; method based on the study of the behavior of the virial equation of state with extrapolated coefficients [8]; numerical methods and computer simulations. There are only a few recent works devoted to finding possible ways of solving this problem in the framework of grand canonical ensemble.…”

Section: Introductionmentioning

confidence: 99%

Phase transition in a cell fluid model

Kozlovskii¹,

Dobush²

2017

Condens. Matter Phys.

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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 the grand partition function of this model is obtained in the collective variables set. The behavior of the system at temperatures below and above the critical one is explored in the approximation of a mean-field type. An explicit analytic form of the equation of state which is applicable in a wide range of temperatures is derived, taking into account an equation between chemical potential and density. The coexistence curve, the surface of the equation of state and the phase diagram of the cell Morse fluid are plotted.

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“…depends on the solution 𝜎 ′ 0 of Eq. ( 1); 𝑑 = 3 is the space dimension; 𝑣 is the cell volume; Θ(𝑀 ) is the Heaviside function, which is equal to unity if 𝑀 > 0, to zero if 𝑀 < 0, and to 1 2 if 𝑀 = 0; the quantity 𝑃 1). Expressions for all those quantities, as well as for 𝐸 𝜇 , are given in work [10].…”

Section: Chemical Potential and Density Changes At Temperatures Below...mentioning

confidence: 99%

“…The theoretical and experimental study of the behavior of liquids and their mixtures in a vicinity of their critical point (see, e.g., works [1][2][3][4][5][6][7][8]) is an important and challenging task. In our previous works [9,10], the behavior of fluid was studied in an immediate vicinity of the critical point, and in works [11][12][13] beyond this vicinity.…”

Section: Introductionmentioning

confidence: 99%

Фазовий Перехід Першого Роду В Рамках Коміркової Моделі Плину: Області Зміни Хімічного Потенціалу Та Відповідні Густини

Pylyuk

Kozlovskii

2022

Ukr. J. Phys.

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Роботу присвячено мiкроскопiчному опису поведiнки плинного середовища в безпосередньому околi критичної точки, де теоретичнi та експериментальнi дослiдження важко проводити. Для температур T < TC видiлено i проаналiзовано областi змiни хiмiчного потенцiалу та густини. Рiвняння стану комiркової моделi плину у змiнних температура–хiмiчний потенцiал записано з використанням функцiй Хевiсайда. Дане рiвняння подано також у термiнах змiнних температура–густина. В результатi дослiдження зв’язку мiж густиною та хiмiчним потенцiалом отримано рiвняння для бiнодалi в безпосереднiй близькостi до критичної точки.

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A simple SCOZA for simple fluids

Cited by 8 publications

References 27 publications

Phase Behavior of a Cell Fluid Model with Modified Morse Potential

Phase Behavior of a Cell Fluid Model with Modified Morse Potential

Phase transition in a cell fluid model

Фазовий Перехід Першого Роду В Рамках Коміркової Моделі Плину: Області Зміни Хімічного Потенціалу Та Відповідні Густини

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