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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

The Vliegenthart-Lekkerkerker relation for the second virial coefficient value at the critical temperature found in [G. A. Vliegenthart and H. N. W. Lekkerkerker, J. Chem. Phys. \textbf{112} 5364 (2000)] is discussed in connection with the…

统计力学 · 物理学 2013-04-26 Vladimir 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…

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

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

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble.…

软凝聚态物质 · 物理学 2012-03-27 Thomas B. Schrøder , Nicoletta Gnan , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

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…

软凝聚态物质 · 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 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…

软凝聚态物质 · 物理学 2023-08-24 Ansrey Katts , Vladimir Kulinskii

The recent theoretical prediction by Maimbourg and Kurchan [arXiv:1603.05023] that for regular pair-potential systems the virial potential-energy correlation coefficient increases towards unity as the dimension $d$ goes to infinity is…

软凝聚态物质 · 物理学 2017-01-04 Lorenzo Costigliola , Thomas B. Schrøder , Jeppe C. Dyre

It was recently shown that vapor-liquid coexistence densities derived from Mie and Yukawa models collapse to define a single master curve when represented against the difference between the reduced second virial coefficient at the…

统计力学 · 物理学 2015-07-14 P. Orea , A. Romero-Martínez , E. Basurto , C. A. Vargas , G. Odriozola

We have developed a new and general theory of nonuniform fluids that naturally incorporates molecular scale information into the classical van der Waals theory of slowly varying interfaces. Here the theory is applied to the liquid-vapor…

统计力学 · 物理学 2007-05-23 Kirill Katsov , John D. Weeks

The vapor-liquid critical behavior of intrinsically asymmetric fluids is studied in finite systems of linear dimensions, $L$, focusing on periodic boundary conditions, as appropriate for simulations. The recently propounded ``complete''…

统计力学 · 物理学 2009-11-10 Young C. Kim , Michael E. Fisher

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

We analyze the possible phase diagrams of a simple model for an associating liquid proposed previously. Our two-dimensional lattice model combines oreintati onal ice-like interactions and \"{}Van der Waals\"{} interactions which may be…

软凝聚态物质 · 物理学 2009-11-11 Vera B. Henriques , Nara Guisoni , Marco Aurelio Barbosa , Marcelo Thielo , Marcia C. Barbosa

This paper is the fourth in a series devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids where virial and potential energy correlate better than 90% in their thermal equilibrium fluctuations…

软凝聚态物质 · 物理学 2013-01-29 Nicoletta Gnan , Thomas B. Schrøder , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

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

This note examines the second virial coefficient for an imperfect gas subject to a 2n-n interparticle potential in any dimension d between 0 and n. A compact analytic expression is presented for this quantity which shows that, apart from a…

统计力学 · 物理学 2016-08-31 M. Lawrence Glasser

The blinking-checkers model [F. Caupin and M. A. Anisimov, Phys. Rev. Lett, 127,185701 (2021)] is a minimal lattice model which has demonstrated that, in the meanfield approximation, it can reproduce the phenomenon of fluid polyamorphism.…

统计力学 · 物理学 2024-06-18 Sergey V. Buldyrev , Thomas J. Longo , Frederic Caupin , Mikhail A. Anisimov

Monte Carlo simulations within the grand canonical ensemble are used to obtain the joint distribution of density and energy fluctuations $p_L(\rho,u)$ for two model fluids: a decorated lattice gas and a polymer system. In the near critical…

凝聚态物理 · 物理学 2009-10-22 Nigel B. Wilding , Marcus Mueller

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
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