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Excess Noise for Driven Diffusive Systems |
Henk van Beijeren 1, Ryszard Kutner 2, Herbert Spohn 3 |
1. Institute of Theoretical Physics, Utrecht University (ITPUU), Leuvenlaan 4, Utrecht 3584 CE, Netherlands |
Abstract |
We investigate the steady-state scattering function for driven diffusive systems with a single conserved density. In one dimension, density fluctuations spread as t23, i.e., faster than the diffusive t12, for large time t. The corresponding excess noise in the current-current correlation diverges as ω−13 for small frequency ω . 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. Physical Review Letters 54, 2026 (1985). |
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Presentation: Article at Econophysics group of Ryszard Kutner, by Ryszard KutnerSee On-line Journal of Econophysics group of Ryszard Kutner Submitted: 2016-03-08 11:45 Revised: 2016-03-08 12:15 |