toward the α axis, as is observed. The smaller value of β at the continuous transition (approximately 0.714(1) for L = 500), compared to that of α (about 0.905(2) for L = 500) may also be attributed to repulsion between neighboring particles. The absence of particle-hole symmetry is again evident in a plot of the current as a function of density. In the lattice model, mean field theory gives J = ρ (1 − ρ ) [26, 27] which is in fact an exact expression. Fig. 10 compares the current on lattice with our results for continuous space. (Note that the latter exhibit virtually no finite-size effects on the scale of the figure.) Unlike in the lattice TASEP, here the current is not symmetric about ρ = 1 / 2; it takes its maximum value at a density of about 0.57. The fact that the maximum current occurs at a higher density than on the lattice may again be attributed to interparticle repulsion. B. Current: comparison with mean-field theory FIG. 10: Current versus density in the lattice model (exact) and the continuous-space model. 19 0 0.2 0.4 0.6 0.8 1 0.1 0.2 0.3 0.4 J. L =100 L = 200 L = 500 (1 -  ) MFT [Eq.(17)]