The existing Levy-Zhang approach to constructing the contribution to the resistivity of a magnetic domain wall is explored. The model equations are integrated analytically, giving a closed form expression for the resistivity when the current flows in the wall. The Boltzmann equation is solved analytically and the ratio of the spin up and spin down resistivities is calculated and its dependence on the strength of the Coulomb and exchange scattering potentials is elucidated.
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