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-forthtransition. 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.
