Figure 1

TASEP scheme with bulk attachment/detachment.Reuse & Permissions

Figure 2

(a) Average density profile $⟨n_i⟩$ computed by MCS (continuous line) and average density profile $\rho (x)$ computed by numerical integration of MFA stationary state Eqs. (2) (dashed line) in the rescaled variable $x=i/N$ for $N={10}^3$ with $\alpha =0.2$, $\beta =0.6$, $K=3$, and different kinetics rates ${\Omega }_D$ indicated in the graph. (b) MCS average density profile for different system sizes, same $\alpha$, $\beta$, $K$ as before, and ${\Omega }_D=0.1$. The width of the steep rise decreases with increasing system sizes $N={10}^k$ with $k=2,3,4,5$ indicated in the graph. (c) MFA average density profile for $\epsilon ={10}^{-3}$, same $\alpha$, $\beta$, $K$ as before, and different kinetic rates ${\Omega }_D$ indicated in the graph. The horizontal dashed line for $\rho (x)=0.75$ represents the Langmuir isotherm for $K=3$.Reuse & Permissions

Figure 3

Phase diagrams obtained by the exact solution of the stationary mean-field Eq. (2) in the inviscid limit for $K=3$ and ${\Omega }_D=0.1$. The inset shows the dependence of the DW amplitude on $\alpha$ for different values of $\beta$.Reuse & Permissions