A polyelectrolyte threading through
a nanopore in a trivalent salt
solution is investigated by means of molecular dynamics simulations
under a reflective wall boundary. By varying the chain length
N
and the strength
E
of the driving electric
field applied inside the pore, the translocation time is carefully
calculated to get rid of the bouncing effect because of the boundary.
The results are analyzed under the scaling form ⟨τ⟩
∼
N
α
E
–δ
and four driving force regimes; namely, the
unbiased, the weakly driven, the strongly driven trumpet, and the
strongly driven isoflux regime, are distinguished. The exponents are
calculated in each regime and compared with the cases in the monovalent
and divalent salt solutions. Owing to strong condensation of counter
ions, the changes of the exponents in the force regimes are found
to be nontrivial. A large increase in translocation time can be, however,
achieved as the driving field is weak. The variations of the chain
size, the ion condensation, and the effective chain charge show that
the process is proceeded in a quasi-equilibrium way in the unbiased
regime and deviated to exhibit strong nonequilibrium characteristics
as
E
increases. Several astonishing scaling behaviors
of the waiting time function, the translocation velocity, and the
diffusion properties are discovered in the study. The results provide
deep insights into the phenomena of polyelectrolyte translocation
in various salt solutions at different driving forces.