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Phys. Rev. Lett. 54, 2026–2029 (1985)

Excess Noise for Driven Diffusive Systems

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H. van Beijeren
Institut für Theoretische Physik A, Rheinisch-Westfälische Technische Hochschule Aachen, D-5100 Aachen, West Germany

R. Kutner
Institut für Festkörperforschung der Kernforschungsanlage Jülich, D-5170 Jülich, West Germany, and Institute of Experimental Physics, University of Warsaw, 00-61 Warszawa, Poland

H. Spohn
Theoretische Physik der Ludwig-Maximilians-Universität, D-8000 München 2, West Germany

Received 2 January 1985; published in the issue dated 6 May 1985

We investigate the steady-state scattering function for driven diffusive systems with a single conserved density. In one dimension, density fluctuations spread as t2/3, i.e., faster than the diffusive t1/2, for large time t. The corresponding excess noise in the current-current correlation diverges as ω-1/3 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.

© 1985 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.54.2026
DOI:
10.1103/PhysRevLett.54.2026
PACS:
66.30.Dn, 05.60.+w, 72.70.+m