Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-02-14
Phys. Rev. E 83 (2011) 051107
Physics
Condensed Matter
Statistical Mechanics
12 pages, 18 figures; to appear in Phys. Rev. E (2011)
Scientific paper
10.1103/PhysRevE.83.051107
We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo simulations. In the one-dimensional asymmetric exclusion process on a ring with half the lattice sites occupied, we find that correlations induce extremely slow relaxation to the asymptotic power law decay. We compare the crossover functions obtained from our simulations with various analytic results in the literature, and analyze the characteristic oscillations that occur in finite systems away from half-filling. As expected, in three dimensions correlations are weak and consequently the mean-field description is adequate. We also investigate the relaxation towards the nonequilibrium steady state in the two-time density-density auto-correlations, starting from strongly correlated initial conditions. We obtain simple aging scaling behavior in one, two, and three dimensions, with the expected power laws.
Daquila George L.
T"auber Uwe C.
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