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It is known from grand canonical simulations of a system of hard rods on twodimensional lattices that an orientationally ordered nematic phase exists onlywhen the length of the rods is at least seven. However, a recent microcanonicalsimulation with diffusion kinetics, conserving both total density and zeronematic order, reported the existence of a nematically phase segregated steadystate with interfaces in the diagonal direction for rods of length six [Phys.Rev. E 95, 052130 (2017)], violating the equivalence of different ensembles forsystems in equilibrium. We resolve this inconsistency by demonstrating that thekinetics violate detailed balance condition and drives the system to anonequilibrium steady state. By implementing diffusion kinetics that drives thesystem to equilibrium, even within this constrained ensemble, we recoverearlier results showing phase segregation only for rods of length greater thanor equal to seven. Furthermore, in contrast to the nonequilibrium steady state,the interface has no preferred orientational direction. In addition, byimplementing different nonequilibrium kinetics, we show that the interfacebetween the phase segregated states can lie in different directions dependingon the choice of kinetics.

Diffusion dynamics and steady states of systems of hard rods on the square lattice