Krug, J., Neiss, R. A., Schadschneider, A. and Schmidt, J. (2018). Logarithmic Superdiffusion in Two Dimensional Driven Lattice Gases. J. Stat. Phys., 172 (2). S. 493 - 505. NEW YORK: SPRINGER. ISSN 1572-9613

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Abstract

The spreading of density fluctuations in two-dimensional driven diffusive systems is marginally anomalous. Mode coupling theory predicts that the diffusivity in the direction of the drive diverges with time as with a prefactor depending on the macroscopic current-density relation and the diffusion tensor of the fluctuating hydrodynamic field equation. Here we present the first numerical verification of this behavior for a particular version of the two-dimensional asymmetric exclusion process. Particles jump strictly asymmetrically along one of the lattice directions and symmetrically along the other, and an anisotropy parameter p governs the ratio between the two rates. Using a novel massively parallel coupling algorithm that strongly reduces the fluctuations in the numerical estimate of the two-point correlation function, we are able to accurately determine the exponent of the logarithmic correction. In addition, the variation of the prefactor with p provides a stringent test of mode coupling theory.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Krug, J.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Neiss, R. A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Schadschneider, A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Schmidt, J.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-181729
DOI: 10.1007/s10955-018-1995-z
Journal or Publication Title: J. Stat. Phys.
Volume: 172
Number: 2
Page Range: S. 493 - 505
Date: 2018
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1572-9613
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
FLUCTUATIONS; INTERFACE; DECAYMultiple languages
Physics, MathematicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/18172

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