  For stripes of hole rich lines in doped antiferromagnets, we investigate the
competition between anti-phase and in-phase domain wall ground state
configurations. We argue that a phase transition must occure as a function of
the electron/hole filling fraction of the domain wall. Due to {\em transverse}
kinetic hole fluctuations, empty domain walls are always anti-phase. At
arbitrary electron filling fraction ($\delta $) of the domain wall (and in
particular for $\delta \approx 1/4$ as in LaNdSrCuO), it is essential to
account also for the transverse magnetic interactions of the electrons and
their mobility {\em along} the domain wall.
  We find that the transition from anti-phase to in-phase stripe domain wall
occurs at a critical filling fraction $0.28<\delta_{c}<0.30$, for any value of
$\frac{J}{t}<{1/3}$. We further use our model to estimate the spin-wave
velocity in a stripe system. Finally, relate the results of our microscopic
model to previous Landau theory approach to stripes.
