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A perturbation approach based on the first-order mean spherical approximation (FMSA) is proposed. It consists in adopting a hard-sphere plus short-range attractive Yukawa fluid as the novel reference system, over which the perturbative…

Soft Condensed Matter · Physics 2012-02-21 S. Hlushak , A. Trokhymchuk , I. Nezbeda

Explicit analytical expressions for Helmholtz free energy, chemical potential, entropy and pressure of the multi-component dimerizing Yukawa hard-sphere fluid are presented. These expressions are written in terms of the Blum's scaling…

Soft Condensed Matter · Physics 2008-05-07 S. P. Hlushak , Yu. V. Kalyuzhnyi

Monte Carlo simulation studies are performed for the Lennard-Jones like two Yukawa (LJ2Y) potential to show how properties of this model fluid depend on the replacement of the soft repulsion by the hard-core repulsion. Different distances…

Soft Condensed Matter · Physics 2012-02-21 J. Krejcí , I. Nezbeda , R. Melnyk , A. Trokhymchuk

A comparison of simulation results with the prediction of the structural properties of square-shoulder fluids is carried out to assess the performance of three theories: Tang--Lu's first-order mean spherical approximation, the simplified…

Soft Condensed Matter · Physics 2016-03-01 M. López de Haro , S. B. Yuste , A. Santos

Simple practical approach to estimate thermodynamic properties of strongly coupled Yukawa systems, in both fluid and solid phases, is presented. The accuracy of the approach is tested by extensive comparison with direct computer simulation…

Thermodynamic consistency of the Mean Spherical Approximation as well as the Self-Consistent Ornstein-Zernike Approximation (SCOZA) with the virial route to thermodynamics is analyzed in terms of renormalized gamma-ordering. For continuum…

Statistical Mechanics · Physics 2008-03-30 Albert Reiner , Johan S. Hoye

It was suggested in the literature that the self-diffusion coefficient of simple fluids can be approximated as a ratio of the squared thermal velocity of the atoms to the "fluid Einstein frequency," which can thus serve as a rough estimate…

Soft Condensed Matter · Physics 2018-04-10 Sergey Khrapak , Boris Klumov , Lenaic Couedel

Combining renormalization group theoretical ideas with the integral equation approach to fluid structure and thermodynamics, the Hierarchical Reference Theory is known to be successful even in the vicinity of the critical point and for…

Condensed Matter · Physics 2009-11-07 Albert Reiner , Gerhard Kahl

The entropy of strongly coupled Yukawa fluids is discussed from several perspectives. First, it is demonstrated that a vibrational paradigm of atomic dynamics in dense fluids can be used to obtain a simple and accurate estimate of the…

Soft Condensed Matter · Physics 2024-09-18 Sergey Khrapak

Simple practical expressions are put forward, which allow to estimate thermodynamic properties of Yukawa fluids in a wide range of coupling, up to the fluid-solid phase transition. These expressions demonstrate excellent agreement with the…

Plasma Physics · Physics 2015-02-27 Sergey Khrapak , Hubertus Thomas

We present a simple density functional theory for the solid phases of systems of particles interacting via soft-core potentials. In particular, we apply the theory to particles interacting via repulsive point Yukawa and Gaussian pair…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

We provide a comprehensive presentation of the Hierarchical Reference Theory (HRT) in the smooth cut-off formulation. A simple and self-consistent derivation of the hierarchy of differential equations is supplemented by a comparison with…

Soft Condensed Matter · Physics 2015-05-13 Alberto Parola , Davide Pini , Luciano Reatto

We propose a simple two-step approximation for the radial distribution function of a one-component two-dimensional Yukawa fluid. This approximation is specified by the key parameters of the system: coupling parameter and screening…

Statistical Mechanics · Physics 2023-03-06 Ilnaz I. Fairushin , Anatolii V. Mokshin

Thermodynamics of weakly screened (near the one-component-plasma limit) Yukawa fluids in two and three dimensions is analyzed in detail. It is shown that the thermal component of the excess internal energy of these fluids, when expressed in…

Plasma Physics · Physics 2015-12-17 Sergey A. Khrapak , Igor L. Semenov , Lenaic Couedel , Hubertus M. Thomas

A thermodynamically self-consistent Ornstein-Zernike approximation (SCOZA) is applied to a fluid of spherical particles with a pair potential given by a hard-core repulsion and a Yukawa attractive tail $w(r)=-\exp [-z(r-1)]/r$. This…

Statistical Mechanics · Physics 2009-10-31 D. Pini , G. Stell , N. B. Wilding

We apply a field-theoretical approach to study the structure and thermodynamics of a two-Yukawa fluid confined by a hard wall. We derive mean field equations allowing for numerical evaluation of the density profile which is compared to…

Soft Condensed Matter · Physics 2023-01-04 I. Kravtsiv , T. Patsahan , M. Holovko , D. di Caprio

A simple analytical approach to estimate thermodynamic properties of model Yukawa systems is presented. The approach extends the traditional Debye-H\"{u}ckel theory into the regime of moderate coupling and is able to qualitatively reproduce…

Plasma Physics · Physics 2014-02-13 S. A. Khrapak , A. G. Khrapak , A. V. Ivlev , G. E. Morfill

The mean field approximation is formulated within the framework of the density field theory to study the properties of a Maier-Saupe nematogenic fluid near a hard wall. The density and the order parameter profiles are obtained using the…

Soft Condensed Matter · Physics 2016-03-08 M. Holovko , T. Patsahan , I. Kravtsiv , D. di Caprio

High temperature approximation (HTA) is used to describe the phase behavior of polydisperse multi-Yukawa hard-sphere chain fluid mixtures with chain length polydispersity. It is demonstrated that in the frames of the HTA the model belongs…

Soft Condensed Matter · Physics 2009-11-11 S. P. Hlushak , Yu. V. Kalyuzhnyi

Owing to the Rosenau argument in Physical Review A, 46 (1992), pag. 12-15, originally proposed to obtain a regularized version of the Chapman-Enskog expansion of hydrodynamics, we introduce a non-local linear kinetic equation which…

Mathematical Physics · Physics 2014-03-14 Giulia Furioli , Ada Pulvirenti , Elide Terraneo , Giuseppe Toscani
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