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

Haoran Chen, Carme Calderer, Yoichiro Mori

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

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
JournalNonlinearity
Volume27
Issue number6
DOIs
StatePublished - Jun 2014

Keywords

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

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