For electromagnetic systems constructed from the exterior differential system
F-dA = 0, and J-dG=0, it is possible to demonstrate that evolution of such
systems by symplectomorphisms can lead to induced currents in the direction of
the magnetic field, where the induction is caused by a gradient of a Bernoulli
function. The system is of Pfaff dimension 4, such that there exist components
of E parallel to B. These accelerating forces could be associated with
temperature gradients parallel to the B field.
It is suggested that temperature gradients along the rotation axis of neutron stars will cause charge particle ejections in a thermo B field dynamo action.