  We consider the fluctuation fields of multi-species weakly-asymmetric
zero-range interacting particle systems in one dimension, where the mass
density of each species is conserved. Although such fields have been studied in
systems with a single species, the multi-species setting is much less
understood. Among other results, we show that, when the system starts from
stationary states, with a particular property, the scaling limits of the
multi-species fluctuation fields, seen in a characteristic traveling frame,
solve a coupled Burgers SPDE, which is a formal spatial gradient of a coupled
KPZ equation.
