Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems

Abstract We study reaction-diffusion processes with multi-species particles and hard-core interaction. add boundary driving to the system by means of external reservoirs which inject remove particles, thus creating stationary currents. consider condition that time evolution average occupation evolves as discretized version a coupled diffusive equations linear reactions. In particular, we identify specific one-parameter family such systems where hydrodynamic limit behaviour can obtained dual process. show partial uphill diffusion is possible for discrete particle on lattice, whereas it lost in limit.