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The two spin-channel model is generalized to the case of transport offerromagnetic excitations in electric conductors and insulators. The twochannels are defined by reducing the ferromagnetic degrees of freedom to abivaluated variable, i.e. to an effective spin one-half. The reduction isperformed after defining the local magnetic configuration space by a sphere$\Sigma_x$, and integrating the relevant physical quantities over the twohemispheres $\Sigma_x^{\uparrow}$ and $\Sigma_x^{\downarrow}$. Theconfiguration space is then extended to the $x$ direction for non-uniformmagnetization excitations. The transport equations for both magnetic momentsand magnetic energy are deduced, including the relaxation from one channel tothe other. The heat transport equations for ferromagnets is deduced.

About the two spin-channel model for ferromagnetic excitations and spin-dependent heat transfer equations