  The mean-field dynamics of an electric dipole moment in a deterministic and a
fluctuating electric field is solved to obtain the average over fluctuations of
the dipole moment and the angular mo- mentum as a function of time for a
Gaussian white noise stochastic electric field. The components of the average
electric dipole moment and the average angular momentum along the deterministic
electric field direction do not decay to zero, despite fluctuations in all
three components of the elec- tric field. This is in contrast to the decay of
the average over fluctuations of a magnetic moment in a stochastic magnetic
field with Gaussian white noise in all three components. The components of the
average electric dipole moment and the average angular momentum perpendicular
to the deterministic electric field direction oscillate with time but decay to
zero, and their variance grows with time.
