Integral equation theory for a mixture of spherical and patchy colloids: analytical description.

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ID: 101320
2020
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Abstract
An analytic theory for the structure and thermodynamics of two-component mixtures of patchy and spherical colloids is developed. The theory is based on an analytical solution of the multidensity Ornstein-Zernike equation supplemented by the associative Percus-Yevick closure relations. We derive closed-form analytic expressions for the partial structure factors and thermodynamic properties using the energy route for the model with arbitrary number of patches and any hard-sphere size ratio of the particles. To assess the accuracy of the theoretical predictions we compare them against existing and newly generated set of computer simulation data. In our numerical calculations we consider the model with equal hard-sphere sizes and one patch. Very good agreement between results of the theory and simulation for the pair correlation functions, excess internal energy and pressure is observed for almost all values of the system density, temperature and composition studied. Only in the region of low concentrations of spherical colloids the theoretical results become less accurate.
Reference Key
kalyuzhnyi2020integralsoft Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Kalyuzhnyi, Yurij V;Nezbeda, Ivo;Cummings, Peter T;
Journal Soft matter
Year 2020
DOI
10.1039/c9sm02309g
URL
Keywords
colloidal cubic shells osmotic equation of state static light scattering static structure factor superballs

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