Abstract

Theory that predicts the phase behavior of interacting Yukawa spheres in a solution containing nonadsorbing polymer is presented. Our approach accounts for multiple overlap of depletion zones. It is found that additional Yukawa interactions beyond hard core interactions strongly affect the location and presence of coexistence regions and phase states. The theoretical phase diagrams are compared with Monte Carlo simulations. The agreement between the two approaches supports the validity of the theoretical approximations made and confirms that, by choosing the parameters of the interaction potentials, tuning of the binodals is possible. The critical end point characterizes the phase diagram topology. It is demonstrated how an additional Yukawa interaction shifts this point with respect to the hard sphere case. Provided a certain depletant-to-colloid size ratio for which a stable colloidal gas-liquid phase coexistence takes place for hard spheres, added direct interactions turn this into a metastable gas-liquid equilibrium. The opposite case, the induction of a stable gas-liquid coexistence where only fluid-solid was present for hard spheres, is also reported.

Highlights

  • A colloidal dispersion can be regarded as a collection of big atoms [1,2]

  • This section focuses on the phase diagrams obtained for mixtures of hard-core Yukawa potentials [37–40] (HCYs) spheres and penetrable hard spheres (PHSs)

  • Phase coexistence is considered for variable ranges and strengths of the Yukawa interaction and depletant to colloid size ratios

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Summary

INTRODUCTION

A colloidal dispersion can be regarded as a collection of big atoms [1,2]. This colloid-atom analogy was used by Einstein in his theory for Brownian motion of particles suspended in a solvent [3]. The effective interaction between colloidal particles mediates the physical properties of a colloidal dispersion, the hard sphere (HS) model being the simplest and widely used approach [6,7,8]. The phase behavior of a colloidal dispersion can be tuned, for instance, by adding nonadsorbing polymers This leads to an effective attraction between the colloidal particles, as shown by Asakura and Oosawa [14]. Limited theories are available for dispersed colloidal particles with realistic interactions and added free polymers (acting as depletants). Phase diagrams of HCY spheres in a sea of PHSs are presented and compared with Monte Carlo (MC) simulations It is shown how additional direct interactions dramatically modify

THEORY
Pair potentials and second virial coefficient
Calculation binodals and critical end point
RESULTS AND DISCUSSION
Phase diagram for hard spheres in a sea of penetrable hard spheres
Yukawa contributions to FVT
Critical endpoint
Second virial coefficient at the critical point
Comparison with Monte Carlo simulations
CONCLUSIONS
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