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Using a fundamental measure density functional theory we investigate both bulk and inhomogeneous systems of the binary non-additive hard sphere model. For sufficiently large (positive) non-additivity the mixture phase separates into two…

Soft Condensed Matter · Physics 2010-07-30 Paul Hopkins , Matthias Schmidt

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of…

Statistical Mechanics · Physics 2017-10-16 Misaki Ozawa , Ludovic Berthier , Daniele Coslovich

To enable the study of criticality in multicomponent fluids, the standard spherical model is generalized to describe an $\ns$-species hard core lattice gas. On introducing $\ns$ spherical constraints, the free energy may be expressed…

Statistical Mechanics · Physics 2009-11-13 Jean-Noël Aqua , Michael E. Fisher

Ion mixtures require an exclusion core to avoid collapse. The Debye Hueckel theory, where ions are point charges, is accurate only in the limit of infinite dilution. The MSA is the embedding of hard cores into DH, is valid for higher…

Soft Condensed Matter · Physics 2007-07-23 L. Blum , D. V. Perez Veloz

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''…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher

The phase diagram of a binary fluid mixture of highly asymmetric additive hard spheres is investigated. Demixing is analyzed from the exact low-density expansions of the thermodynamic properties of the mixture and compared with the…

Soft Condensed Matter · Physics 2007-05-23 C. F. Tejero , M. Lopez de Haro

The interfacial free energy is a central quantity in crystallization from the meta-stable melt. In suspensions of charged colloidal spheres, nucleation and growth kinetics can be accurately measured from optical experiments. In previous…

Soft Condensed Matter · Physics 2016-03-23 Thomas Palberg , Patrick Wette , Dieter M. Herlach

The phase behavior of ionic fluids on simple cubic and tetragonal (anisotropic) lattices has been studied by grand canonical Monte Carlo simulations. Systems with both the true lattice Coulombic potential and continuous-space $1/r$…

Statistical Mechanics · Physics 2016-08-31 Vladimir Kobelev , Anatoly B. Kolomeisky , Athanassios Z. Panagiotopoulos

We study the vapour-liquid critical parameters of an ionic fluid confined in a disordered porous medium by using the theory which combines the collective variables approach with an extension of the scaled particle theory. The ionic fluid is…

Statistical Mechanics · Physics 2019-01-25 Oksana Patsahan , Taras Patsahan , Myroslav Holovko

We report the grand-canonical solution of a ternary mixture of discrete hard spheres defined on a Husimi lattice built with cubes, which provides a mean-field approximation for this system on the cubic lattice. The mixture is composed by…

Soft Condensed Matter · Physics 2020-06-02 Nathann T. Rodrigues , Tiago J. Oliveira

We find that the Debye-H\"uckel nonideality of dilute aqueous electrolytes is sufficient to drive volume phase transitions and criticality, even in the absence of a self-attracting or elastic network. Our result follows from a Landau…

Soft Condensed Matter · Physics 2011-12-25 Kyle J. Welch , Fred Gittes

For a large class of repulsive interaction models, the Mayer cluster integrals can be transformed into a tridiagonal symmetric matrix, whose elements converge to a constant with a 1/n^2 correction. We find exact expressions, in terms of…

Statistical Mechanics · Physics 2010-08-27 Eli Eisenberg , Asher Baram

The Debye charging method is generalized to study the linear response properties of the asymmetric primitive model for electrolytes. Analytic results are obtained for the effective charge distributions of constituent ions inside the…

Soft Condensed Matter · Physics 2016-11-23 Mingnan Ding , Yihao Liang , Bing-Sui Lu , Xiangjun Xing

We develop a thermodynamic description of particles held at a fixed surface potential. This system is of particular interest in view of the continuing controversy over the possibility of a fluid-fluid phase separation in aqueous colloidal…

Soft Condensed Matter · Physics 2009-11-10 Yan Levin , Emmanuel Trizac , Lyderic Bocquet

A simple model of dimerizing hard spheres with highly nontrivial fluid-solid phase behaviour is proposed. The model is studied using the recently proposed resummed thermodynamic perturbation theory for central force (RTPT-CF) associating…

Soft Condensed Matter · Physics 2016-07-26 Yurij V. Kalyuzhnyi , Peter T. Cummings

We study a fluid-fluid phase transition of the explicit solvent model represented as a mixture of the restricted primitive model (RPM) of ionic fluid and neutral hard spherocylinders (HSC). To this end, we combine two theoretical…

Soft Condensed Matter · Physics 2022-07-26 M. Hvozd , T. Patsahan , O. Patsahan , M. Holovko

The Debye-H\"uckel theory describes rigorously the thermal equilibrium of classical Coulomb fluids in the high-temperature $\beta\to 0$ regime ($\beta$ denotes the inverse temperature). It is generally believed that the Debye-H\"uckel…

Statistical Mechanics · Physics 2009-11-13 L. Samaj

The association of ions in electrolyte solutions at very low concentration and low temperature is studied using computer simulations and quasi-chemical ion-pairing theory. The specific case of the restricted primitive model (charged hard…

Soft Condensed Matter · Physics 2011-09-23 Chantal Valeriani , Philip J. Camp , Jos W. Zwanikken , René van Roij , Marjolein Dijkstra

Based on the method of collective variables we develop the statistical field theory for the study of a simple charge-asymmetric $1:z$ primitive model (SPM). It is shown that the well-known approximations for the free energy, in particular…

Soft Condensed Matter · Physics 2015-06-25 O. Patsahan , I. Mryglod , T. Patsahan

Thermodynamic perturbation theory for central-force (TPT-CF) type of associating potential is used to study the phase behavior of symmetric binary mixture of associating particles with spherically symmetric interaction. The model is…

Soft Condensed Matter · Physics 2013-12-18 Yu. V. Kalyuzhnyi , T. V. Hvozd