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We investigate the steady-state scattering function for driven diffusive systems with a single conserved density. In one dimension, density fluctuations spread as t^2{3}, i. e. , faster than the diffusive t^1{2}, for large time t. The corresponding excess noise in the current-current correlation diverges as ^-1{3} for small frequency. Monte Carlo simulation results for a driven hard-core lattice gas confirm these results. d=2 is the borderline dimension with marginally nondiffusive behavior; for d>2, the spread is diffusive with anisotropic long-time-tail corrections.
Beijeren et al. (Mon,) studied this question.