Colloid and Polymer Science

, Volume 296, Issue 3, pp 441–449 | Cite as

Coarse-grained simulations of polyelectrolyte brushes using a hybrid model

  • Tomoyuki KinjoEmail author
  • Hiroaki Yoshida
  • Hitoshi Washizu
Original Contribution


We investigate the structure of polyelectrolyte brushes to determine the effects of the charge fraction of the polymers, grafting density, chain length, and salt concentration. A hybrid coarse-grained model is employed, where a soft potential is applied to coarse-grained particles representing the solvent, while a hard potential is used for the polymer beads, and co- and counterions. A steep increase in brush height with charge fraction is observed in the low-to-moderate charge fraction regime, whereas the brush approaches the contour height in the high charge fraction regime. The effects of graft density and chain length on brush height are well explained by the scaling theory based on the balance between the osmotic pressure and chain elasticity, properly taking into account the polymer stiffness. In addition, Pincus’s power law for varying added salt concentration is also reproduced by the simulation.


Polyelectrolytes Polymer brushes 


Funding Information

No specific funds/grants were received from any funding bodies to carry out the work described in this article.

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Tomoyuki Kinjo
    • 1
    Email author
  • Hiroaki Yoshida
    • 1
  • Hitoshi Washizu
    • 1
    • 2
    • 3
  1. 1.Toyota Central R&D Labs., Inc.NagakuteJapan
  2. 2.Graduate School of Simulation StudiesUniversity of HyogoChuo-ku, KobeJapan
  3. 3.Elements Strategy Initiative for Catalysts and Batteries (ESICB)Kyoto UniversityKyotoJapan

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