  We study the surface magnetic field fluctuations due to radial oscillations
as a viable cause for the micro structures of the radio pulsar pulse patterns.
The electrical conductivity of matter in the outer layer of the crust of a
neutron star (NS) plays a crucial role in the resulting surface magnetic field
if we assume that the magnetic field is confined to this layer. This outer
layer has a rapidly varying matter density - that changes the micro-physics of
the material affecting the electrical conductivity at every stage of the
density change. In this study, the varying electrical conductivity in this
rapidly varying density regime of the outer layer of the NS crust - from $\sim
10^{11}~g~cm^{-3}$ to about $10^4~g~cm^{-3}$ - has been used to calculate the
surface magnetic field using the induction equation. A finite effect of the
strong gravitational field at the NS surface has also been taken into account.
The equations have been solved in MATLAB using the method of lines. Any minor
radial fluctuation due to stellar oscillation, in particular the radial
oscillations, leads to a fluctuation of the electrical conductivity in the
outer layer of the crust. This leads to fluctuations in the surface magnetic
field with a frequency equal to the frequency of the stellar oscillation. We
find that not only the variation of the surface magnetic field is substantial,
but also it does not remain constant throughout the lifetime of the NS.
