Scaling properties of the asymmetric exclusion process with long-range hopping.
The exclusion process in which particles may jump any distance l > or = 1 with the probability that decays as l;{-(1+sigma)} is studied from the coarse-grained equation for density profile in the limit when the lattice spacing goes to zero. For 1<sigma<2 , the usual diffusion term of this equation is replaced by the fractional one, which affects dynamical-scaling properties of the late-time approach to the stationary state. When applied to an open system with totally asymmetric hopping, this approach gives two results: First, it accounts for the sigma -dependent exponent that characterizes the algebraic decay of a density profile in the maximum-current phase for 1<sigma<2 , and second, it shows that in this region of sigma the exponent is of the mean-field type.
Szavits-Nossan
J
J
Institute of Physics, Bijenicka cesta 46, P.O. Box 304, HR-10001 Zagreb, Croatia. juraj@ifs.hr
Uzelac
K
K