Slow relaxation and aging kinetics for the driven lattice gas

Abstract

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.

12 pages, 18 figures; to appear in Phys. Rev. E (2011)

References in corpus (11)

• Exact scaling functions for one-dimensional stationary KPZ growth
• Fluctuation properties of the TASEP with periodic initial configuration
• Dynamic correlation functions and Boltzmann Langevin approach for driven one dimensional lattice gas
• Tagged Particle Correlations in the Asymmetric Simple Exclusion Process: Finite Size Effects
• Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line
• Non-equilibrium processes: driven lattice gases, interface dynamics, and quenched disorder effects on density profiles and currents
• Determinant solution for the Totally Asymmetric Exclusion Process with parallel update II. Ring geometry
• Power Spectra of the Total Occupancy in the Totally Asymmetric Simple Exclusion Process
• Aging dynamics of non-linear elastic interfaces: the Kardar-Parisi-Zhang equation
• Universality classes of the Kardar-Parisi-Zhang equation
• Directed diffusion of reconstituting dimers