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A simple model for functionalized disordered porous media is proposed and the effects of confinement on self-association, percolation and phase behavior of a fluid of patchy particles are studied. The media is formed by a randomly…

Soft Condensed Matter · Physics 2025-03-12 Yurij V. Kalyuzhnyi , Taras Patsahan , Myroslav Holovko , Peter T. Cummings

We critically discuss the application of the Wertheim's theory to classes of complex associating fluids that can be today engineered in the laboratory as patchy colloids and to the prediction of their peculiar gas-liquid phase diagrams. Our…

Soft Condensed Matter · Physics 2016-01-06 Riccardo Fantoni , Giorgio Pastore

In this work we extend Wertheim's thermodynamic perturbation theory (TPT) to binary mixtures (species A and species B) of patchy colloids where each species has a single patch which can bond a maximum of twice (divalent). Colloids are…

Soft Condensed Matter · Physics 2014-08-16 B. D. Marshall , W. G. Chapman

Colloidal patchy particles with divalent attractive interaction can self-assemble into linear polymer chains. Their equilibrium properties in 2D and 3D are well described by Wertheim's thermodynamic perturbation theory which predicts a…

Soft Condensed Matter · Physics 2022-09-21 H. J. Jonas , P. Schall , P. G. Bolhuis

We investigate the phase behaviour of 2D mixtures of bi-functional and three-functional patchy particles and 3D mixtures of bi-functional and tetra-functional patchy particles by means of Monte Carlo simulations and Wertheim theory. We…

We report theoretical and numerical evaluations of the phase diagram for a model of patchy particles. Specifically we study hard-spheres whose surface is decorated by a small number f of identical sites ("sticky spots'') interacting via a…

Soft Condensed Matter · Physics 2009-11-13 Emanuela Bianchi , Piero Tartaglia , Emanuela Zaccarelli , Francesco Sciortino

We use thermodynamic perturbation theory to calculate the free energies and resulting phase diagrams of binary systems of spherical colloidal particles and interacting polymer coils in good solvent within an effective one-component…

Soft Condensed Matter · Physics 2009-11-10 B. Rotenberg , J. Dzubiella , J. -P. Hansen , A. A. Louis

We study the phase diagram of a binary mixture of patchy particles which has been designed to form a reversible gel. For this we perform Monte Carlo and molecular dynamics simulations to investigate the thermodynamics of such a system and…

Soft Condensed Matter · Physics 2014-12-17 Sándalo Roldán-Vargas , Frank Smallenburg , Walter Kob , Francesco Sciortino

We combine particle-based simulations, mean-field rate equations, and Wertheim's theory to study the dynamics of patchy particles in and out of equilibrium, at different temperatures and densities. We consider an initial random distribution…

Soft Condensed Matter · Physics 2017-11-01 J. M. Tavares , C. S. Dias , N. A. M. Araújo , M. M. Telo da Gama

We investigate percolation in binary and ternary mixtures of patchy colloidal particles theoretically and using Monte Carlo simulations. Each particle has three identical patches, with distinct species having different types of patch.…

Soft Condensed Matter · Physics 2016-09-21 Felix Seiferling , Daniel de las Heras , Margarida M. Telo da Gama

We show that the formalism of Wertheim's first order thermodynamic perturbation theory can be generalised for the fluid of rotating sticky particles with anisotropic hard core confined to a quasi-one-dimensional channel. Using the transfer…

Statistical Mechanics · Physics 2025-10-09 Péter Gurin , Szabolcs Varga

Computation of the properties of associative fluids with the particles highly anisotropic in shape, using multi-density perturbation theory of Wertheim, has long been a challenge. We propose a simple and efficient scheme that allow us to…

Soft Condensed Matter · Physics 2025-11-07 Yurij V Kalyuzhnyi

Thermodynamic properties of the particles interacting through smooth version of Stell-Hemmer interaction were studied using Wertheim's thermodynamic perturbation theory. The temperature dependence of molar volume, heat capacity, isothermal…

Soft Condensed Matter · Physics 2013-12-18 T. Urbic

We calculate the network fluid regime and phase diagrams of binary mixtures of patchy colloids, using Wertheim's first order perturbation theory and a generalization of Flory-Stockmayer's theory of polymerization. The colloids are modelled…

Soft Condensed Matter · Physics 2011-06-13 Daniel de las Heras , José M. Tavares , Margarida M. Telo da Gama

Patchy colloidal model with three and four equivalent patches, confined in the attractive random porous media, undergo re-entrant gas-liquid phase separation with the possibility for the liquid phase density to approach zero. This unusual…

Soft Condensed Matter · Physics 2022-05-11 Taras Hvozd , Yurij V. Kalyuzhnyi , Vojko Vlachy , Peter T. Cummings

Interacting systems can be studied as the networks where nodes are system units and edges denote correlated interactions. Although percolation on network is a unified way to model the emergence and propagation of correlated behaviours, it…

Statistical Mechanics · Physics 2023-11-15 Yizhou Xu , Pei Sun , Yang Tian

A simple expression for the composition dependence of the Flory-Huggins interaction parameter of polymer/solvent systems reported earlier is used to model the demixing of polymer solutions into two liquid phases. To this end the system…

Soft Condensed Matter · Physics 2007-05-23 Sergej Stryuk , Bernhard A. Wolf

We study the structural and thermodynamic properties of patchy particle liquids, with a special focus on the role of "color", i.e. specific interactions between individual patches. A possible experimental realization of such "chromatic"…

Soft Condensed Matter · Physics 2015-07-22 Oleg A. Vasilyev , Boris A. Klumov , Alexei V. Tkachenko

A simple model for the formation of the polymer-enzyme conjugates has been proposed and described using corresponding extension of the Wertheim's first-order thermodynamic perturbation theory (TPT1) for the system of associating chain…

Soft Condensed Matter · Physics 2025-03-12 Halyna Butovych , Yurij V. Kalyuzhnyi , Taras Patsahan , Jaroslav Ilnytskyi

We study a simplified model of monoclonal antibodies confined in a patchy random porous medium. Antibodies are represented as Y-shaped particles composed of seven tangential hard spheres with attractive patches on the terminal beads, while…

Soft Condensed Matter · Physics 2026-03-31 Yu. V. Kalyuzhnyi , T. Patsahan
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