Letting free polymers
diffuse from solution into a cross-linked
polymer gel is often a crucial processing step in the synthesis of
multiphase polymer-based gels, e.g., core–shell microgels.
Here, we use coarse-grained molecular dynamics simulations to obtain
molecular insights into this process. We consider idealized situations
where the gel is modeled as a regular polymer network with the topology
of a diamond lattice, and all free polymers and strands have the same
length and consist of the same type of monomers. After the gel and
the polymer solution were brought into contact, two time regimes are
observed: an initial compression of the gel caused by the osmotic
pressure of the solution was followed by an expansion due to swelling.
We characterize the time evolution of density profiles, the penetration
of free polymers into the gel, and the connection between the gel
and solution phase. The interfacial structure locally equilibrates
after roughly 100 chain relaxation times. At late times, the free
chains inside the gel undergo a percolation transition if the polymer
concentration in the gel exceeds a critical value, which is on the
same order as the overlap concentration. The fluctuations of the interface
can be described by a capillary wave model that accounts for the elasticity
of the gel. Based on this, we extracted the interfacial tension of
the gel–solution interface. Interestingly, both the interfacial
tension and the local interfacial width increase with increasing free
polymer concentration, in contrast to liquid–liquid interfaces,
where these two quantities are typically anticorrelated.