Abstract

Microgels are complex macromolecules. These colloid-sized polymer networks possess internal degrees of freedom and, depending on the polymer(s) they are made of, can acquire a responsiveness to variations of the environment (temperature, pH, salt concentration, etc.). Besides being valuable for many practical applications, microgels are also extremely important to tackle fundamental physics problems. As a result, these last years have seen a rapid development of protocols for the synthesis of microgels, and more and more research has been devoted to the investigation of their bulk properties. However, from a numerical standpoint the picture is more fragmented, as the inherently multi-scale nature of microgels, whose bulk behaviour crucially depends on the microscopic details, cannot be handled at a single level of coarse-graining. Here we present an overview of the methods and models that have been proposed to describe non-ionic microgels at different length-scales, from the atomistic to the single-particle level. We especially focus on monomer-resolved models, as these have the right level of details to capture the most important properties of microgels, responsiveness and softness. We suggest that these microscopic descriptions, if realistic enough, can be employed as starting points to develop the more coarse-grained representations required to investigate the behaviour of bulk suspensions.

Highlights

  • Microgels are colloid-sized polymer networks that are important for industrial and biomedical applications, and as model systems to investigate fundamental problems in condensed matter physics.[1]

  • It is much better to rely on a coarse-grained solvent representation, where groups of solvent molecules are treated as soft beads. This is precisely the aim of the Dissipative Particle Dynamics (DPD) technique, which has the advantage of correctly reproducing hydrodynamics at long times by imposing locally the conservation of momentum.[70]

  • The DPD method has been mapped to polymer–solvent interactions and provides a way to directly relate the parameters of the involved soft potentials to the Flory– Huggins solvency parameter.[71]

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Summary

Introduction

Microgels are colloid-sized polymer networks that are important for industrial and biomedical applications, and as model systems to investigate fundamental problems in condensed matter physics.[1]. Despite the growing interest, a comprehensive summary of recent progresses on the numerical modelling of microgels is not presently available. We fill this gap by reviewing the simulation work done to characterise non-ionic (uncharged) microgels and microgel suspensions at different time- and length-scales, going from atomistic models to very 1108 | Soft Matter, 2019, 15, 1108--1119. The overview discusses models and results obtained with atomistic (Section 2), monomer-resolved (Section 3) and more coarse-grained (Section 4) descriptions.

Atomistic simulations
Monomer-resolved models
Protocols for the numerical design of coarse-grained microgel particles
Swelling and solvent effects
Kinetics of swelling and deswelling
Further coarse-graining
Perspectives
Conclusions
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