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
Full text not available from this repository.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: |
|
||||||||||||||||||||
| 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: |
|
||||||||||||||||||||
| Refereed: | Yes | ||||||||||||||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/18172 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
 |
View Item |