  We consider a single molecule circuit embedded into solvent. The Born
dielectric solvation model is combined with Keldysh nonequilibrium Green's
functions to describe the electron transport properties of the system.
Depending on the dielectric constant, the solvent induces multiple
nonequilibrium steady states with corresponding hysteresis in molecular
current-voltage characteristics as well as negative differential resistance. We
identify the physical range of solvent and molecular parameters where the
effects are present. The position of the negative differential resistance peak
can be controlled by the dielectric constant of the solvent.
