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Excess Noise for Driven Diffusive Systems

Henk van Beijeren 1Ryszard Kutner 2Herbert Spohn 3

1. Institute of Theoretical Physics, Utrecht University (ITPUU), Leuvenlaan 4, Utrecht 3584 CE, Netherlands
2. Faculty of Physics, University of Warsaw (FPUW), Pasteura 5, Warsaw 02-093, Poland
3. Zentrum Mathematik, Technische Universitat Munchen (ZMTUM), Boltzmannstrasse 3, Garching 85748, Germany


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 Kutner
See On-line Journal of Econophysics group of Ryszard Kutner

Submitted: 2016-03-08 11:45
Revised:   2016-03-08 12:15