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Using Monte-Carlo simulation and mean field calculations, we study the liquid-vapour phase diagram of a square well binary fluid mixture as a function of a parameter $\delta$ measuring the relative strength of interactions between particles…

Statistical Mechanics · Physics 2009-10-31 N. B. Wilding , F. Schmid , P. Nieleba

We propose a method for describing a phase behavior of a system consisting of particles of two sorts. The interaction of each species is described by interaction potentials containing the repulsive and attractive components. Asymmetry is…

Statistical Mechanics · Physics 2020-06-19 M. P. Kozlovskii , O. A. Dobush

A semi-grand-canonical Monte Carlo algorithm is employed in conjunction with the bond fluctuation model to investigate the critical properties of an asymmetric binary (AB) polymer mixture. By applying the equal peak-weight criterion to the…

Condensed Matter · Physics 2009-10-22 M. Mueller , N. B. Wilding

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

We use a two-level simulation method to analyse the critical point associated with demixing of binary hard sphere mixtures. The method exploits an accurate coarse-grained model with two-body and three-body effective interactions. Using this…

Statistical Mechanics · Physics 2021-10-13 Hideki Kobayashi , Paul B. Rohrbach , Robert Scheichl , Nigel B. Wilding , Robert L. Jack

A binary liquid near its consolute point exhibits critical fluctuations of the local composition; the diverging correlation length has always challenged simulations. The method of choice for the calculation of critical points in the phase…

Statistical Mechanics · Physics 2021-04-29 Yogyata Pathania , Dipanjan Chakraborty , Felix Höfling

The thermodynamic behavior of a fluid near a vapor-liquid and, hence, asymmetric critical point is discussed within a general ``complete'' scaling theory incorporating pressure mixing in the nonlinear scaling fields as well as corrections…

Statistical Mechanics · Physics 2009-11-07 Young C. Kim , Michael E. Fisher , G. Orkoulas

The microscopic approach to the description of the phase behaviour and critical phenomena in binary fluid mixtures is proposed. It is based on the method of collective variables with a reference system. The physical nature of the order…

Condensed Matter · Physics 2009-10-31 O. V. Patsahan

We report a Monte Carlo finite-size scaling study of the demixing transition of a symmetrical Lennard-Jones binary fluid mixture. For equal concentration of species, and for a choice of the unlike-to-like interaction ratio delta=0.7, this…

Statistical Mechanics · Physics 2009-11-10 Nigel B. Wilding

The spatial suppression of order parameter fluctuations in a critical media produces Critical Casimir forces acting on confining surfaces. This scenario is realized in a critical binary mixture near the demixing transition point that…

Statistical Mechanics · Physics 2014-10-03 Oleg A. Vasilyev

A symmetrical binary, A+B Lennard-Jones mixture is studied by a combination of semi-grandcanonical Monte Carlo (SGMC) and Molecular Dynamics (MD) methods near a liquid-liquid critical temperature $T_c$. Choosing equal chemical potentials…

Statistical Mechanics · Physics 2009-11-11 Subir K. Das , Juergen Horbach , Kurt Binder , Michael E. Fisher , Jan V. Sengers

We have investigated the phase behaviour of a symmetrical binary fluid mixture for the situation where the chemical potentials $\mu_1$ and $\mu_2$ of the two species differ. Attention is focused on the set of interparticle interaction…

Statistical Mechanics · Physics 2015-06-25 Juergen Koefinger , Nigel B. Wilding , Gerhard Kahl

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the…

Statistical Mechanics · Physics 2009-11-11 Subir K. Das , Michael E. Fisher , Jan V. Sengers , Juergen Horbach , Kurt Binder

We propose a model to study symmetric binary fluids, based in the mesoscopic molecular simulation technique known as multiparticle collision, where space and state variables are continuous while time is discrete. We include a repulsion rule…

Adaptation and Self-Organizing Systems · Physics 2016-06-22 C. Echeverria , K. Tucci , O. Alvarez-Llamoza , E. E. Orozco-Guillén , M. Morales , M. G. Cosenza

We study a three-dimensional system of particles interacting via spherically-symmetric pair potentials consisting of several discontinuous steps. We show that at certain values of the parameters desribing the potential, the system has three…

Soft Condensed Matter · Physics 2015-06-24 Sergey V. Buldyrev , H. Eugene Stanley

A critique is presented of the frequently used Bruce-Wilding (BW) mixed-field scaling method for estimating the critical points of nonsymmetric model fluids from grand canonical simulation data. An explicit, systematic technique for…

Statistical Mechanics · Physics 2007-05-23 Young C. Kim , Michael E. Fisher

We present an experimental and theoretical study of the phase behavior of a binary mixture of colloids with opposite adsorption preferences in a critical solvent. As a result of the attractive and repulsive critical Casimir forces, the…

Soft Condensed Matter · Physics 2011-10-03 O. Zvyagolskaya , A. J. Archer , C. Bechinger

A binary fluid mixture of non-additive hard spheres characterized by a size ratio $\gamma=\sigma_2/\sigma_1<1$ and a non-additivity parameter $\Delta=2\sigma_{12}/(\sigma_1+\sigma_2)-1$ is considered in infinitely many dimensions. From the…

Statistical Mechanics · Physics 2007-05-23 A. Santos , M. Lopez de Haro

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…

Condensed Matter · Physics 2009-10-22 Nigel B. Wilding , Marcus Mueller

We study the wetting behaviour of a symmetrical binary fluid below the demixing temperature at a non-selective attractive wall. Although it demixes in the bulk, a sufficiently thin liquid film remains mixed. On approaching liquid/vapour…

Statistical Mechanics · Physics 2009-10-31 F. Schmid , N. B. Wilding
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