Großkinsky and Spohn  studied several-species zero-range processes and gave a necessary and sufficient condition for translation invariant measures to be invariant under such processes. Based on this result, they investigated the hydrodynamic limit. In this paper, we consider a certain class of two-species zero-range processes which are outside of the family treated by Großkinsky and Spohn. We prove a homogenization property for a tagged particle and apply it to derive the hydrodynamic limit under the diffusive scaling.
Kenkichi TSUNODA. "Hydrodynamic limit for a certain class of two-species zero-range processes." J. Math. Soc. Japan 68 (2) 885 - 898, April, 2016. https://doi.org/10.2969/jmsj/06820885