Ab. Kolomeisky, ASYMMETRIC SIMPLE EXCLUSION MODEL WITH LOCAL INHOMOGENEITY, Journal of physics. A, mathematical and general, 31(4), 1998, pp. 1153-1164
We study a totally asymmetric simple exclusion model with open boundar
y conditions and a local inhomogeneity in the bulk. It consists of a o
ne-dimensional lattice with particles hopping stochastically with equa
l rates to the right at all lattice sites except one where the jump ra
te is different. Approximate stationary-state solutions and phase diag
rams are obtained and compared with Monte Carlo simulation results.