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For stripes of hole rich lines in doped antiferromagnets, we investigate thecompetition between anti-phase and in-phase domain wall ground stateconfigurations. We argue that a phase transition must occure as a function ofthe electron/hole filling fraction of the domain wall. Due to {\em transverse}kinetic hole fluctuations, empty domain walls are always anti-phase. Atarbitrary electron filling fraction ($\delta $) of the domain wall (and inparticular for $\delta \approx 1/4$ as in LaNdSrCuO), it is essential toaccount also for the transverse magnetic interactions of the electrons andtheir mobility {\em along} the domain wall.  We find that the transition from anti-phase to in-phase stripe domain walloccurs 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-wavevelocity in a stripe system. Finally, relate the results of our microscopicmodel to previous Landau theory approach to stripes.Comment: 11 pages, 3 figure

Stripes formation: Antiphase and in-phase domain walls