Reentrant condensation transition in a two species driven diffusive system

Abstract: We study an interacting box-particle system on a one-dimensional periodic ring involving two species of particles $A$ and $B$. In this model, from a randomly chosen site, a particle of species $A$ can hop to its right neighbor with a rate that depends on the number of particles of the species $B$ at that site. On the other hand, particles of species $B$ can be transferred between two neighboring sites with rates that depends on the number of particles of species $B$ at the two adjacent sites$-$this process however can occur only when the two sites are devoid of particles of the species $A$. We study condensation transition for a specific choice of rates and find that the system shows a reentrant phase transition of species $A$ $-$ the species $A$ passes successively through fluid-condensate-fluid phases as the coupling parameter between the dynamics of the two species is varied. On the other hand, the transition of species $B$ is from condensate to fluid phase and hence does not show reentrant feature.