We derive the ponderomotive force for an arbitrary distribution of neu
trinos in a plasma using quantum statistical field theory. The pondero
motive force has two components. One component, due to gradients in th
e neutrino and plasma densities, reduces to a known expression. The se
cond component is due to a coupling between anisotropies in the neutri
no and plasma densities. Simple estimates suggest that the ponderomoti
ve force is too small to play an important role in the acceleration me
chanism for plasma in type II supernovae.