We study the dynamics of charged particles in aqueous solutions in the fram
ework of the continuous solvent model by smart Brownian dynamics simulation
s. Transport coefficients of simple electrolyte solutions (KCl between 0.1
and 2 mol/L) are computed from the simulations and compared to experimental
data. The simulation method is then applied to more complex systems: aqueo
us cryptate solutions. in the latter case, we compare the experimental valu
es for the conductivity to the simulation results. Both direct and indirect
hydrodynamic interactions are taken into account in the simulations: the f
irst ones are modelled by a solvent-averaged pairwise interaction potential
and the second ones are evaluated by using the Rotne-Prager approximation.
The smart Brownian dynamics method allows to use long time steps of about
0.1 ps and to generate trajectories of several ns in total. It is shown tha
t hydrodynamic interactions are crucial to compute transport coefficients i
n agreement with experimental data. The self-diffusion coefficients are sli
ghtly enhanced and the conductivity is lowered when hydrodynamic interactio
ns are taken into account.