Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes

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