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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 we develop a thermodynamic perturbation theory for two site associating fluids which exhibit bond cooperativity. We include both steric hindrance and ring formation such that the equation of state is bond angle dependent. Here…

Soft Condensed Matter · Physics 2015-06-19 B. D. Marshall , Amin Haghmoradi , 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

We present a theory to predict the structure and thermodynamics of mixtures of colloids of different diameters, building on our earlier work [J. Chem. Phys. 145, 074904 (2016)] that considered mixtures with all particles constrained to have…

Soft Condensed Matter · Physics 2017-05-24 Artee Bansal , Arjun Valiya Parambathu , D. Asthagiri , Kenneth R. Cox , Walter 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

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

We present some recent theory and simulation results addressing the phenomena of colloidal gelation at both high and low volume fractions, in the presence of short-range attractive interactions. We discuss the ability of mode-coupling…

Soft Condensed Matter · Physics 2009-11-10 M. E. Cates , M. Fuchs , K. Kroy , W. C. K. Poon , A. M. Puertas

Sheared granular liquids are studied by the mode coupling theory. It is shown that, in contrast to thermostatted systems, current correlations play an essential role in the dynamics. The theory predicts that the plateau of the density…

Statistical Mechanics · Physics 2013-07-16 Koshiro Suzuki , Hisao Hayakawa

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 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

A mixture of solvent particles with short-range, directional interactions and solute particles with short-range, isotropic interactions that can bond multiple times is of fundamental interest in understanding liquids and colloidal mixtures.…

Soft Condensed Matter · Physics 2016-09-21 Artee Bansal , D. Asthagiri , Kenneth R. Cox , Walter G. Chapman

Colloidal particles that are confined to an interface such as the air-water interface are an example of a two-dimensional fluid. Such dispersions have been observed to spontaneously form cluster and stripe morphologies in certain systems…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer

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

We study the phase behaviour of a fluid composed of particles which interact via a pair potential that is repulsive for large inter-particle distances, is attractive at intermediate distances and is strongly repulsive at short distances…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer , C. Ionescu , D. Pini , L. Reatto

An approximation within Wertheim's second order perturbation theory is proposed which allows for the development of a general solution for pure component fluids with an arbitrary number and functionality of association sites. The solution…

Soft Condensed Matter · Physics 2021-10-12 B. D. Marshall

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

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

We consider a fluid of hard spheres bearing one or two uniform circular adhesive patches, distributed so as not to overlap. Two spheres interact via a ``sticky'' Baxter potential if the line joining the centers of the two spheres intersects…

Statistical Mechanics · Physics 2009-11-13 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti , Mark A. Miller , Giorgio Pastore

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

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
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