We used Langevin dynamics simulations to study coarse-grained
knotted
copolyelectrolytes, composed by a neutral and a charged segment, in
solutions of different salt concentrations, valency, and solvent screening
power. We show that the facile variation of these parameters allows
for tuning the length and position of the knotted region, which in
turn controls the overall metric properties. Specifically, adding
either monovalent or divalent ions causes the knot to swell at the
expense of the copolyelectrolyte overall size. However, the knot typically
straddles the charged–neutral interface in the presence of
monovalent counterions, whereas it is attracted on the charged segment
with divalent ones. Notably, similar modulations of knot size and
position can also be achieved by varying the dielectric constant of
the solvent. Our results demonstrate the feasibility of harnessing
the solution-mediated balance of electrostatics and conformational
entropy toward a facile external tuning of the conformational properties
of knotted polymers.