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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…

Statistical Mechanics · Physics 2010-06-22 V. L. Kulinskii

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…

Soft Condensed Matter · Physics 2025-06-26 L. A. Bulavin , V. L. Kulinskii , A. M. Katts , A. M. Maslechko

The relation between the critical compressibility factors $Z_{c}$ of the Lennard-Jones fluid and the Lattice Gas (Ising model) is derived within the global isomorphism approach. On this basis we obtain the alternative form for the value of…

Soft Condensed Matter · Physics 2014-08-12 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…

Chemical Physics · Physics 2018-12-24 A. Maslechko , K. Glavatskiy , V. Kulinskii

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…

Statistical Mechanics · Physics 2014-08-12 Vladimir Kulinskii

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}…

Statistical Mechanics · Physics 2013-04-26 Vladimir Kulinskii

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…

Statistical Mechanics · Physics 2013-11-28 Hiroshi Watanabe , Nobuyasu Ito , Chin-Kun Hu

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…

Statistical Mechanics · Physics 2018-12-24 Vladimir Kulinskii

In this work we study the global isomorphism between the liquid-vapor equilibrium of the hard-core attractive Yukawa fluid (HCAYF) and that of the Lattice Gas (LG) model of the Ising-like type. The applicability of the global isomorphism…

Soft Condensed Matter · Physics 2022-07-06 V. Kulinskii , A. Katts

The explicit relations between the thermodynamic functions of the Lattice Gas model and the fluid within the framework of approach proposed earlier in [V. L. Kulinskii, J. Phys. Chem. B \textbf{114} 2852 (2010)] are derived. It is shown…

Soft Condensed Matter · Physics 2013-04-26 Leonid A. Bulavin , Vladimir L. 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…

Statistical Mechanics · Physics 2013-04-26 Leonid Bulavin , Vladimir Kulinskii

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…

Statistical Mechanics · Physics 2016-08-16 M. Díez--Minguito , P. L. Garrido , J. Marro

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…

Statistical Mechanics · Physics 2015-08-17 Yankui Wang , Ji Liu , Jiajie Xiao , Fan Zhong

In this paper we apply fluid-lattice gas global isomorphism approach to liquid-vapor equilibrium of Yukawa attractive fluid in the two dimensions. The construction of tangent to the binodal of the fluid in the low-temperature region is…

Soft Condensed Matter · Physics 2023-08-24 Ansrey Katts , Vladimir Kulinskii

We present Monte Carlo simulation results of the two-dimensional Zwanzig fluid, which consists of hard line segments which may orient either horizontally or vertically. At a certain critical fugacity, we observe a phase transition with a…

Statistical Mechanics · Physics 2009-11-13 T. Fischer , R. L. C. Vink

We study in detail the active Ising model, a stochastic lattice gas where collective motion emerges from the spontaneous breaking of a discrete symmetry. On a 2d lattice, active particles undergo a diffusion biased in one of two possible…

Statistical Mechanics · Physics 2015-10-12 A. P. Solon , J. Tailleur

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…

Computational Physics · Physics 2012-07-03 M. Gross , F. Varnik

Using molecular simulations, we determine the locus of ideal compressibility, or Zeno line, for a series of ionic compounds. We find that the shape of this thermodynamic contour follows a linear law, leading to the determination of the…

Statistical Mechanics · Physics 2021-08-19 Caroline Desgranges , Jerome Delhommelle

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…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

Can liquid-like and gas-like states be distinguished beyond the critical point, where the liquid-gas phase transition no longer exists and conventionally only a single supercritical fluid phase is defined? Recent experiments and simulations…

Statistical Mechanics · Physics 2024-04-30 Xinyang Li , Yuliang Jin
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