Mechano-chemical oscillations of a gel bead

Métens, Stephane; Villain, Sébastien; Borckmans, Pierre

doi:10.1016/j.physd.2009.06.002

Cited by 8 publications

(6 citation statements)

References 48 publications

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“…[14]. We have successfully used such a treatment to test our method [30] and corroborate the results described in Section 9.4. For this purpose, we used a chemical system leading to spatial bistability, but different from those discussed in Section 9.4.…”

Section: The Approachsupporting

confidence: 78%

“…[21,22], which are well adapted to treat the problem considered here. However, we will extend it to consider N chemical species besides the solvent [29][30][31]. The free energy is a central quantity.…”

Section: The Approachmentioning

confidence: 99%

“…From the free energy, we may express the equations of the state of the system in terms of the osmotic stress tensor and the chemical potentials making use of the Gibbs relation [21,30,31]. In terms of , we have…”

Section: The Approachmentioning

confidence: 99%

“…We again assume that no instability develops in nonradial directions and that the spherical symmetry is preserved. Different forms of the elastic contributions, of the chemical models, and of the mode of coupling between the chemical state and swelling properties have been used [30,40,41,49]. These coupling modes are of energetic nature and are introduced by means of the energetic interaction terms χ or the χ ij 's as mentioned in Section 9.3.1.…”

Section: Simple Modelsmentioning

confidence: 99%

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Chemoelastodynamics of Responsive Gels

Boissonade

Borckmans

Kepper

et al. 2010

Nonlinear Dynamics With Polymers

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Section: The Approachsupporting

confidence: 78%

Section: The Approachmentioning

confidence: 99%

Section: The Approachmentioning

confidence: 99%

Section: Simple Modelsmentioning

confidence: 99%

See 2 more Smart Citations

Chemoelastodynamics of Responsive Gels

Boissonade

Borckmans

Kepper

et al. 2010

Nonlinear Dynamics With Polymers

Self Cite

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“…Different theoretical approaches, based on the lattice spring model and the combination of the macroscopic transport equations for mixtures, elasticity theory, and local equilibrium have been developed to understand these phenomena. [19][20][21] A crucial advantage of pH-oscillators is the significant amplitude variation of pH, which may cause an intense change in any coupled system (Figure 1). The protonation and deproto- nation reactions are fundamental as they determine the reactivity and the geometry of molecules and the behavior of supramolecular structures.…”

Section: Introductionmentioning

confidence: 99%

Functional Rhythmic Chemical Systems Governed by pH‐Driven Kinetic Feedback

2022

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Hydrogen ion autocatalytic reactions, especially in combination with an appropriate negative feedback process, show a wide range of dynamical phenomena, like clock behavior, bistability, oscillations, waves, and stationary patterns. The temporal or spatial variation of pH caused by these reactions is often significant enough to control the actual state (geometry, conformation, reactivity) or drive the mechanical motion of coupled pH‐sensitive physico‐chemical systems. These autonomous operating systems provide nonlinear chemistry's most reliable applications, where the hydrogen ion autocatalytic reactions act as engines. This review briefly summarizes the nonlinear dynamics of these reactions and the different approaches developed to properly couple the pH‐sensitive units (e. g., pH‐sensitive equilibria, gels, molecular machines, colloids). We also emphasize the feedback of the coupled processes on the dynamics of the hydrogen ion autocatalytic reactions since the way of coupling is a critical operational issue.

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Synergistic Chemomechanical Oscillators: Periodic Gel Actuators without Oscillatory Chemical Reaction

Horváth

2015

Macromolecular Symposia

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SummarySynergistic chemomechanical oscillators fundamentally differ from BZ‐gels or ordinary pH‐actuators where oscillatory chemical reactions are required as (internal) “frequency generators”. Periodicity can arise from the interplay between a non‐periodic but nonlinear chemical reaction (e.g., a “pH‐switch”) and a geometrical feedback that modifies the transport time of species between the gel core and the environment. The experimental realization of several different such systems is essential to identify their universal properties. To be operational, the fine tuning of the gel's pH‐response to the region of the pH‐drop in a particular chemical reaction turned out to be an essential step. Simultaneously, the weak acid functional groups present in the gel modify the pH‐drop range, and this also needs to be considered. Analogous interdependence between chemical and physical actions is believed to be an underlying mechanism in primary biological processes.

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Mechano-chemical oscillations of a gel bead

Cited by 8 publications

References 48 publications

Chemoelastodynamics of Responsive Gels

Chemoelastodynamics of Responsive Gels

Functional Rhythmic Chemical Systems Governed by pH‐Driven Kinetic Feedback

Synergistic Chemomechanical Oscillators: Periodic Gel Actuators without Oscillatory Chemical Reaction

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