Abstract:
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, Ec, shock region shows non-monotonic behavior and
contracts until another critical value Ec1 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 Ec, 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.
