Persistence of spontaneous symmetry breaking in bidirectional transport system with reservoir crowding

Abstract

Motivated by the impact of limited resources on the entry and exit of entities on a pathway in many transport systems, we investigate a system comprising of a bidirectional totally asymmetric simple exclusion process coupled to a reservoir featuring crowding effect. The entry and exit of particles from both ends are regulated depending upon the occupancy of the reservoir. The steady state properties of the system have been theoretically analyzed, and the phase boundaries have been obtained. Our findings display a rich behavior, emphasizing on the non-trivial effects of reservoir crowding giving rise to symmetric as well as asymmetric phases. Further, the system exhibits a novel feature in the form of a back-and-forth transition. Also, it is found that spontaneous symmetry breaking phenomena is induced even for very few particles in the system. All the findings are validated by extensive Monte Carlo simulations. The effect of system size on Monte Carlo simulation results have been examined.