  We develop the Redfield equation for delta-correlated gaussian noise and
apply it to the case of two neutrino flavor or spin precession in the presence
of a noisy matter density or magnetic field, respectively. The criteria under
which physical fluctuations can be well approximated by the delta-correlated
gaussian noise for the above cases are examined. Current limits on the possible
neutrino magnetic moment and solar magnetic field suggest that a reasonably
noisy solar magnetic field would not appreciably affect the solar electron
neutrino flux. However, if the solar electron density has fluctuations of a few
percent of the local density and a small enough correlation length, the MSW
effect is suppressed for a range of parameters.
