We study the non-equilibrium steady states in a closed system consisting of interacting particles obeying exclusion principle with quenched hopping rate. Cluster mean field approach is utilized to theoretically analyze the system dynamics in terms of phase diagram, density profiles, current, etc, with respect to interaction energy E. It turns out that on increasing the interaction energy beyond a critical value, E
c, shock region shows non-monotonic behavior and contracts until another critical value
E
c
1
is attained; a further increase leads to its expansion. Moreover, the phase diagram of an interacting system with specific set of parameters has a good agreement with its non-interacting analogue. For interaction energy below E
c, a new shock phase displaying features different from non-interacting version is observed leading to two distinct shock phases. We have also performed Monte Carlo simulations extensively to validate our theoretical findings.
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.
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