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In this paper we extend our previous theory [B. D. Marshall and W.G. Chapman, J. Chem. Phys. 139, 104904 (2013)] for mixtures of single patch colloids (p colloids) and colloids with spherically symmetric attractions (s colloids) to the case…

Soft Condensed Matter · Physics 2013-11-15 B. D. Marshall , W. G. Chapman

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 develop the first theory to model self assembling mixtures of single patch colloids and colloids with spherically symmetric attractions. In the development of the theory we restrict the interactions such that there are short…

Soft Condensed Matter · Physics 2013-09-18 B. D. Marshall , W. G. Chapman

In this paper, we develop a thermodynamic perturbation theory to describe the self-assembly of patchy colloids which exhibit both patch-patch attractions as well as patch / non-patch attractions. That is, patches attract other patches as…

Soft Condensed Matter · Physics 2017-09-14 Bennett D. Marshall

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 extend Wertheim's thermodynamic perturbation theory to derive the association free energy of a multicomponent mixture for which double bonds can form between any two pairs of the molecules' arbitrary number of bonding sites. This…

Soft Condensed Matter · Physics 2021-02-26 Michael P. Howard , Zachary M. Sherman , Delia J. Milliron , Thomas M. Truskett

We numerically study a simple fluid composed of particles having a hard-core repulsion, complemented by two short-ranged attractive (sticky) spots at the particle poles, which provides a simple model for equilibrium polymerization of linear…

Soft Condensed Matter · Physics 2009-11-13 F. Sciortino , E. Bianchi , J. F. Douglas , P. Tartaglia

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 present a new model of patchy particles in which the interaction sites can be activated or deactivated by varying the temperature of the system. We study the thermodynamics of the system by means of Wertheim's first order perturbation…

Soft Condensed Matter · Physics 2016-05-25 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

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 investigate the thermodynamic and structural properties of divalent patchy hard rods confined to a one-dimensional channel by modeling the bonding sites as attractive square-well (SW) patches located at the rod tips. The zero-range…

Soft Condensed Matter · Physics 2026-05-21 Ana M. Montero , Andrés Santos , Péter Gurin , Szabolcs Varga

In the development of equations of state for polyatomic molecules, thermodynamic perturbation theory (TPT) is widely used to calculate the change in free energy due to chain formation. TPT is a simplification of a more general and exact…

Soft Condensed Matter · Physics 2016-07-13 Bennett D. Marshall

We develop a resummed thermodynamic perturbation theory for bond cooperativity in associating fluids by extension of Wertheim's multi - density formalism. We specifically consider the case of an associating hard sphere with two association…

Soft Condensed Matter · Physics 2013-12-19 B. D. Marshall , W. G. Chapman

We study a two-dimensional binary mixture of patchy colloids in sedimentation-diffusion-equilibrium using Monte Carlo simulation and Wertheim's theory. By tuning the buoyant masses of the colloids we can control the gravity-induced sequence…

Soft Condensed Matter · Physics 2016-03-03 Daniel de las Heras , Lucas L. Treffenstädt , Matthias Schmidt

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 investigate the structural and thermodynamic properties of a model of particles with $2$ patches of type $A$ and $10$ patches of type $B$. Particles are placed on the sites of a face centered cubic lattice with the patches oriented along…

Soft Condensed Matter · Physics 2015-06-18 J. M. Tavares , N. G. Almarza , M. M. Telo da Gama

A new theory is developed to describe the equilibrium adsorption and self-assembly of patchy colloids in microchannels. The adsorption theory is developed in classical density functional theory, with the adsorbed phase and fluid phase…

Soft Condensed Matter · Physics 2016-08-24 Bennett D. Marshall

We develop the first comprehensive approach to model associating fluids with small bond angles using Wertheim's perturbation theory. We show theoretically and through monte carlo simulations that as bond angle is varied various modes of…

Soft Condensed Matter · Physics 2013-08-27 B. D. Marshall , W. G. Chapman

In this paper a new theory is developed for the self - assembly of associating molecules confined to a single spatial dimension, but allowed to explore all orientation angles. The interplay of the anisotropy of the pair potential and the…

Soft Condensed Matter · Physics 2016-04-27 Bennett D. Marshall
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