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We show how to obtain the critical compressibility factor $Z_c$ for simple and associative Lennard-Jones fluids using the critical characteristics of the Ising model on different lattices. The explanation for the results on the critical…

统计力学 · 物理学 2014-08-12 Vladimir Kulinskii

The interpretation of the linear character of the observable classic rectilinear diameter law and the linear character of the Zeno-line (unit compressibility line Z=1) on the basis of global isomorphism between Ising model (Lattice Gas) and…

统计力学 · 物理学 2010-07-29 V. L. Kulinskii

In this communication we show that the surface tension of the real fluids of the Lennard-Jones type can be obtained from the surface tension of the lattice gas (Ising model) on the basis of the global isomorphism approach developed earlier…

统计力学 · 物理学 2018-12-24 Vladimir Kulinskii

The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad…

化学物理 · 物理学 2018-12-24 A. Maslechko , K. Glavatskiy , V. Kulinskii

In this paper we apply the global isomorphism approach [V.~L. Kulinskii, J. Phys. Chem. B \textbf{114} 2852 (2010)] between the Lennard-Jones fluids and Lattice Gas model to the study of the liquid-vapor equilibrium for the systems with the…

统计力学 · 物理学 2013-04-26 Leonid Bulavin , Vladimir Kulinskii

The dimensionless value of critical compressibility factor in the van der Waals theory of gas-liquid critical point is a universal constant, $Z_\text{c} = 0.375$. Experimentally measured values of this quantity for simple fluids are…

软凝聚态物质 · 物理学 2020-03-05 O. Bakai

A fluctuating non-ideal fluid at its critical point is simulated with the Lattice Boltzmann method. It is demonstrated that the method, employing a Ginzburg-Landau free energy functional, correctly reproduces the static critical behavior…

计算物理 · 物理学 2012-07-03 M. Gross , F. Varnik

Liquid-gas equilibrium is considered using the global isomorphism with the Ising-like (lattice gas) model. Such an approach assumes the existence of the order parameter in terms of which the symmetry of binodal is restored not only in the…

软凝聚态物质 · 物理学 2025-06-26 L. A. Bulavin , V. L. Kulinskii , A. M. Katts , A. M. Maslechko

The gas-liquid phase transition of the three-dimensional Lennard-Jones particles system is studied by molecular dynamics simulations. The gas and liquid densities in the coexisting state are determined with high accuracy. The critical point…

统计力学 · 物理学 2013-11-28 Hiroshi Watanabe , Nobuyasu Ito , Chin-Kun Hu

Molecular dynamic simulations for systems with $D=2,3$ Lennard-Jones-like interactions are studied. In the model, we assume that, at long distances, the two-body attractive potential decays as $r^{-\alpha}$. Thermodynamic extensivity…

凝聚态物理 · 物理学 2009-10-31 Sergio Curilef , Constantino Tsallis

Using the approach formulated in the previous papers of the author, a consistent procedure is developed for calculating non-classical asymptotic power terms in the total and the direct correlation functions of a critical fluid. Analyzing…

统计力学 · 物理学 2019-09-27 V. N. Bondarev

We show that, along the critical isobar, the complete scaling results in a unique leading scaling qualitatively distinct to that arising from the simple and the revised scalings. This is verified by a complete-field finite-time scaling…

统计力学 · 物理学 2015-08-17 Yankui Wang , Ji Liu , Jiajie Xiao , Fan Zhong

The phase behavior of fluids near weakly attractive substrates is studied by computer simulations of the coexistence curve of a Lennard-Jones (LJ) fluid confined in a slitlike pore. The temperature dependence of the density profiles of the…

统计力学 · 物理学 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

We analyze the interrelation between the coexistence curve of the Lennard-Jones fluid and the Ising model in two and three dimensions within the global isomorphism approach proposed earlier [V. L. Kulinskii, J. Phys. Chem. B \textbf{114}…

统计力学 · 物理学 2013-04-26 Vladimir Kulinskii

Critical phenomena in real fluids demonstrate a combination of universal features caused by the divergence of long-range fluctuations of density and nonuniversal (system-dependent) features associated with specific intermolecular…

统计力学 · 物理学 2013-07-09 M. A. Anisimov

A Lorentz gas may be defined as a system of fixed dispersing scatterers, with a single light particle moving among these and making specular collisions on encounters with the scatterers. For a dilute Lorentz gas with open boundaries in $d$…

混沌动力学 · 物理学 2009-11-10 Henk van Beijeren , Oliver Muelken

We introduce a nonequilibrium off--lattice model for anisotropic phenomena in fluids. This is a Lennard--Jones generalization of the driven lattice--gas model in which the particles' spatial coordinates vary continuously. A comparison…

统计力学 · 物理学 2016-08-16 M. Díez--Minguito , P. L. Garrido , J. Marro

Critical properties of lattice gases with nearest-neighbor exclusion are investigated via the adaptive-window Wang-Landau algorithm on the square and simple cubic lattices, for which the model is known to exhibit an Ising-like phase…

统计力学 · 物理学 2015-05-19 A. G. Cunha-Netto , Ronald Dickman

A Landau-Ginzburg functional of two order parameters (charge-density $\phi$ and mass-density deviation $\eta$) is developed in order to yield a field theory relevant to ionic lattice gases as well as a family of off-lattice models of ionic…

统计力学 · 物理学 2007-05-23 A. Ciach , G. Stell

The unified geometrical interpretation of the linear character of the Zeno-line (unit compressibility line Z=1) and the rectilinear diameter is proposed. We show that recent findings about the properties of the Zeno-line and striking…

统计力学 · 物理学 2010-06-22 V. L. Kulinskii
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