# Modelling Polymerization-Induced Self Assembly (PISA)

**Authors:** Ruslan Shupanov, Pavel Kos, Alexei Gavrilov, Alexander Chertovich

arXiv: 1901.09345 · 2020-11-17

## TL;DR

This study uses computer simulations to explore how polymerization conditions affect self-assembly into micelles, revealing that slower initiation speeds significantly alter phase diagrams and self-assembled structures.

## Contribution

It introduces a simulation-based model to analyze the impact of reaction kinetics on polymer self-assembly, highlighting the effects of initiation speed on phase behavior.

## Key findings

- Ideal controlled radical polymerization yields phase diagrams similar to pre-synthesized diblock copolymers.
- Slower initiation speeds reduce spherical and cylindrical micelle regions, expanding vesicle/lamellae regions.
- Decreasing initiation speed effectively lowers concentration and increases the block length ratio in the phase diagram.

## Abstract

In this work we studied polymerization-induced self-assembly by means of computer simulations. Using this model, phase diagrams of the micelle states were constructed depending on the polymer concentration and the asymmetry of the composition for various reaction conditions. We found that if the reaction is ideal controlled radical polymerization (the initiation speed is much larger than the propagation speed and there are no side reactions such as termination or chain transfer), the phase diagram is no different from that obtained for pre-synthesized monodisperse diblock-copolymers with one insoluble block. Next, we studied two cases of slow initiation. We found that the phase diagram change dramatically: upon decreasing the initiation speed, the regions of spherical and cylindrical micelles shrink, while the region of vesicles/lamellae expands. This happens because at small initiation speed there is a significant amount of chains with a very short non-soluble block (and even without such block altogether), which do not participate in the formation of micelles. Therefore, decreasing the initiation speed essentially remaps the phase diagram coordinates by making the effective concentration lower (by decreasing the number of active chains) and the effective block length ratio higher (again, because the number of active chains gets higher, while the number of monomers remains the same).

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Source: https://tomesphere.com/paper/1901.09345