Nonaqueous polyelectrolyte
solutions have been recently proposed
as high Li
+
transference number electrolytes for lithium
ion batteries. However, the atomistic phenomena governing ion diffusion
and migration in polyelectrolytes are poorly understood, particularly
in nonaqueous solvents. Here, the structural and transport properties
of a model polyelectrolyte solution, poly(allyl glycidyl ether-lithium
sulfonate) in dimethyl sulfoxide, are studied using all-atom molecular
dynamics simulations. We find that the static structural analysis
of Li
+
ion pairing is insufficient to fully explain the
overall conductivity trend, necessitating a dynamic analysis of the
diffusion mechanism, in which we observe a shift from largely vehicular
transport to more structural diffusion as the Li
+
concentration
increases. Furthermore, we demonstrate that despite the significantly
higher diffusion coefficient of the lithium ion, the negatively charged
polyion is responsible for the majority of the solution conductivity
at all concentrations, corresponding to Li
+
transference
numbers much lower than previously estimated experimentally. We quantify
the ion–ion correlations unique to polyelectrolyte systems
that are responsible for this surprising behavior. These results highlight
the need to reconsider the approximations typically made for transport
in polyelectrolyte solutions.