Analysis and simulation of a model of polyelectrolyte gel in one spatial dimension

Haoran Chen, Carme Calderer, Yoichiro Mori

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We analyse a model of polyelectrolyte gels that was proposed by the authors in previous work. We first demonstrate that the model can be derived using Onsager's variational principle, a general procedure for obtaining equations in soft condensed matter physics. The model is shown to have a unique steady state under the assumption that a suitably defined mechanical energy density satisfies a convexity condition. We then perform a detailed study of the stability of the steady state in the spatially one-dimensional case, obtaining bounds on the relaxation rate. Numerical simulations for the spatially one-dimensional problem are presented, confirming the analytical calculations on stability.

Original languageEnglish (US)
Pages (from-to)1241-1285
Number of pages45
Issue number6
StatePublished - Jun 2014


  • Onsagers variational principle
  • ionic electrodiffusion
  • polyelectrolyte gel
  • stability analysis
  • two phase model


Dive into the research topics of 'Analysis and simulation of a model of polyelectrolyte gel in one spatial dimension'. Together they form a unique fingerprint.

Cite this