This is a simulation of the last passage percolation represenation of the simple exclusion process with open boundaries when p=1, β=δ=0 and α,γ>0. Intuitively, this means thats particles can only enter at the left-hand side, exit at the righ-hand side. Moreover, each particle is equipped with an Exponential-1-clock, and when the clock rings, the particle tries to move to the right under the exclusion constraint.

In the following, we visualize the particle configuration as well as the corresponding growth interface envolving in time: