Abstract

Neutron scattering experiments and simulations are often used as complementary tools in view of revealing the structure and dynamics of molecular and macromolecular systems. For polymeric and self-assembling systems, the simulation of large-scale structures and long-time processes is often achieved by using coarse-grained models which allow to gain some orders of magnitude in space and time scales. By discarding some details of the chains, they also allow a better understanding of the main features of the system that govern its behaviour, such as the sequence of a macromolecule or some interaction that leads to its self-assembly. After a brief introduction on coarse-grained models and associated representations, the approach is illustrated with the case of amphiphilic regularly alternating multiblock copolymers in dilute and semidilute solutions. In this context, a generic HP (H: hydrophobic ; P: hydrophilic, polar) model is used together with a lattice representation of the system and a Monte Carlo algorithm. The simulations give access to the various structures and phases of the system as a function of the energy of interaction between H monomers, the ratio of H monomers in the chain, the length of the blocks and the concentration. In dilute solution structures range from swollen coils in good solvent to chains of micelles and layered structures in poor solvent. In semidilute solution microphase separation and gelation are observed as a function of substitution ratio and concentration.

Highlights

  • Neutron scattering experiments and simulations are often used as complementary tools in view of revealing the structure and dynamics of molecular and macromolecular systems

  • A case study is presented in details. It deals with the behaviour of amphiphilic multiblock copolymers in dilute and semidilute solutions

  • Using a generic coarse-grained model and Monte Carlo simulations, we want to improve our understanding of the behaviour of amphiphilic multiblock copolymers in solution

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Summary

WHY USE COARSE-GRAINED OR MESOSCOPIC MODELS?

One of the main reasons why scientists use coarse-grained or mesoscopic descriptions of molecular systems is to achieve longer simulation times and larger spatial scales by discarding part of the chemical details of the system. To cope with the broad range of time and length scales, coarse-grained or mesoscopic representations of polymer or self-assembling systems (such as membranes) have to be envisaged. Such models are obtained by lumping groups of atoms together into single effective particles or interaction sites, reducing the number of degrees of freedom of the system and removing the faster vibrations. On the other hand the universal behaviour at a mesoscopic scale can be revealed (e.g. phase transitions in diblock copolymer melts, transitions between different morphologies of copolymers in solution)

HOW TO DESIGN A MESOSCALE MODEL?
MULTIBLOCK COPOLYMERS IN SOLUTION
Motivation: the behaviour of methylcellulose
Defining a model
Lattice model and Monte Carlo
DILUTE SOLUTION OF MULTIBLOCK COPOLYMERS
Effect of solvent quality
Intramolecular structures in poor solvent
Overview of the behaviour in dilute solution
SEMIDILUTE SOLUTION OF MULTIBLOCK COPOLYMERS
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