The dynamics of a collapsing polyelectrolyte gel
We analyse the dynamics of different routes to collapse of a constrained polyelectrolyte gel in contact with an ionic bath. The evolution of the gel is described by a model that incorporates non-linear elasticity, Stefan-Maxwell diffusion and interfacial gradient free energy to account for phase sep...
| Հիմնական հեղինակներ: | , , , , |
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| Ձևաչափ: | Journal article |
| Լեզու: | English |
| Հրապարակվել է: |
Society for Industrial and Applied Mathematics
2023
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| _version_ | 1826310154651435008 |
|---|---|
| author | Celora, GL Hennessy, MG Münch, A Wagner, B Waters, SL |
| author_facet | Celora, GL Hennessy, MG Münch, A Wagner, B Waters, SL |
| author_sort | Celora, GL |
| collection | OXFORD |
| description | We analyse the dynamics of different routes to collapse of a constrained
polyelectrolyte gel in contact with an ionic bath. The evolution of the gel is
described by a model that incorporates non-linear elasticity, Stefan-Maxwell
diffusion and interfacial gradient free energy to account for phase separation
of the gel. A bifurcation analysis of the homogeneous equilibrium states
reveals three solution branches at low ion concentrations in the bath, giving
way to only one above a critical ion concentration. We present numerical
solutions that capture both the spatial heterogeneity and the multiple
time-scales involved in the process of collapse. These solutions are
complemented by two analytical studies. Firstly, a phase-plane analysis that
reveals the existence of a depletion front for the transition from the highly
swollen to the new collapsed equilibrium state. This depletion front is
initiated after the fast ionic diffusion has set the initial condition for this
time regime. Secondly, we perform a linear stability analysis about the
homogeneous states that show that for a range of ion concentrations in the
bath, spinodal decomposition of the swollen state gives rise to localized
solvent-rich(poor) and, due to the electro-neutrality condition, ion-poor(rich)
phases that coarsen on the route to collapse. This dynamics of a collapsing
polyelectrolyte gel has not been described before. |
| first_indexed | 2024-03-07T07:47:52Z |
| format | Journal article |
| id | oxford-uuid:0718d72e-31db-4f17-a492-6f621c5b1796 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:47:52Z |
| publishDate | 2023 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:0718d72e-31db-4f17-a492-6f621c5b17962023-06-23T09:51:51ZThe dynamics of a collapsing polyelectrolyte gelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0718d72e-31db-4f17-a492-6f621c5b1796EnglishSymplectic ElementsSociety for Industrial and Applied Mathematics2023Celora, GLHennessy, MGMünch, AWagner, BWaters, SLWe analyse the dynamics of different routes to collapse of a constrained polyelectrolyte gel in contact with an ionic bath. The evolution of the gel is described by a model that incorporates non-linear elasticity, Stefan-Maxwell diffusion and interfacial gradient free energy to account for phase separation of the gel. A bifurcation analysis of the homogeneous equilibrium states reveals three solution branches at low ion concentrations in the bath, giving way to only one above a critical ion concentration. We present numerical solutions that capture both the spatial heterogeneity and the multiple time-scales involved in the process of collapse. These solutions are complemented by two analytical studies. Firstly, a phase-plane analysis that reveals the existence of a depletion front for the transition from the highly swollen to the new collapsed equilibrium state. This depletion front is initiated after the fast ionic diffusion has set the initial condition for this time regime. Secondly, we perform a linear stability analysis about the homogeneous states that show that for a range of ion concentrations in the bath, spinodal decomposition of the swollen state gives rise to localized solvent-rich(poor) and, due to the electro-neutrality condition, ion-poor(rich) phases that coarsen on the route to collapse. This dynamics of a collapsing polyelectrolyte gel has not been described before. |
| spellingShingle | Celora, GL Hennessy, MG Münch, A Wagner, B Waters, SL The dynamics of a collapsing polyelectrolyte gel |
| title | The dynamics of a collapsing polyelectrolyte gel |
| title_full | The dynamics of a collapsing polyelectrolyte gel |
| title_fullStr | The dynamics of a collapsing polyelectrolyte gel |
| title_full_unstemmed | The dynamics of a collapsing polyelectrolyte gel |
| title_short | The dynamics of a collapsing polyelectrolyte gel |
| title_sort | dynamics of a collapsing polyelectrolyte gel |
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