Totally asymmetric simple exclusion process with two consecutive ramps

Abstract

Abstract In this paper, the effect of totally asymmetric simple exclusion process (TASEP) with two consecutive ramps (in the bulk far away boundaries) has been investigated. The phase diagram changes with the off-ramp rate p and on-ramp rate q have been given. In addition, the main boundary expressions are also obtained by mean field approximation (MFA). The LD (Low Density)/LD and HD (High Density)/HD phases still vanish with p > 1/2 and q > 1/2, respectively. In particular, the MC/MC phase exists in the system with the relationship p/(1+2p) < q < p/(1-2p). Specially, when p and q satisfy p >1/2 and q > 1/2, the phase diagram is divided into four intervals with same area by the LD/MC (Maximum Current), LD/HD, MC/MC and MC/HD phases.