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Oscillatory dynamics induced in polyelectrolyte gels by a non-oscillatory reaction: A model

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Abstract

We develop a general model and the associated numerical algorithm to compute the swelling dynamics of chemo-responsive polyelectrolyte gels immersed in a reactive ionic solution kept at a non-equilibrium stationary state by a permanent feed of fresh reactants. Using an autocatalytic bistable but nonoscillatory reaction, namely, the bromate-sulfite reaction, we predict that a piece of hydrogel that swells/shrinks as a function of p H can exhibit spontaneous mechanical and chemical oscillations. This constitutes the extension to realistic and experimentally feasible conditions of results previously obtained on a toy model with artificial swelling conditions.

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Boissonade, J. Oscillatory dynamics induced in polyelectrolyte gels by a non-oscillatory reaction: A model. Eur. Phys. J. E 28, 337–346 (2009). https://doi.org/10.1140/epje/i2008-10425-1

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