Steady states and phase transitions in heterogeneous asymmetric exclusion processes

Abstract We study nonequilibrium steady states in totally asymmetric exclusion processes (TASEPs) with open boundary conditions having spatially inhomogeneous hopping rates. Considering smoothly varying rates, we show that the are general classified by state currents direct analogy TASEPs uniform calculate bulk density profiles, which now nonuniform. also obtain phase diagrams plane of control parameters, which, despite boundaries curved lines, have same topology as their counterparts for conventional TASEPs, independent form rate functions. This reveals a type universality, not encountered critical phenomena. Surprisingly and contrast to transitions an TASEP hopping, our studies on model reveal all three first order nature. demonstrate this admits delocalised domain walls (DDWs) boundaries, demarcating generalised low high phases model. However, DDWs observed envelopes present generally lines.