  We consider strongly interacting one-dimensional electron liquids where
elementary excitations carry either spin or charge. At small temperatures a
spinon created at the bottom of its band scatters off low-energy spin- and
charge-excitations and follows the diffusive motion of a Brownian particle in
momentum space. We calculate the mobility characterizing these processes, and
show that the resulting diffusion coefficient of the spinon is parametrically
enhanced at low temperatures compared to that of a mobile impurity in a
spinless Luttinger liquid. We briefly discuss that this hints at the relevance
of spin in the process of equilibration of strongly interacting one-dimensional
electrons, and comment on implications for transport in clean single channel
quantum wires.
