Kardar-Parisi-Zhang universality class and the anchored Toom interface
Files
Publication date
2014-10-08
Authors
Barkema, Gerard
Ferrari, P. L.
Lebowitz, J. L.
Spohn, H.
Editors
Advisors
Supervisors
Document Type
Article
Metadata
Show full item recordCollections
License
Abstract
We revisit the anchored Toom interface and use Kardar-Parisi-Zhang scaling theory to argue that the interface fluctuations are governed by the Airy1 process with the role of space and time interchanged. The predictions, which contain no free parameter, are numerically well confirmed for space-time statistics in the stationary state. In particular, the spatial fluctuations of the interface computed numerically agree well with those given by the GOE edge distribution of Tracy and Widom.
Keywords
SIMPLE EXCLUSION PROCESS, NONEQUILIBRIUM INTERFACE, FLUCTUATIONS, DIMENSIONS, SYSTEMS, GROWTH, LIMIT, MODEL
Citation
Barkema, G T, Ferrari, P L, Lebowitz, J L & Spohn, H 2014, 'Kardar-Parisi-Zhang universality class and the anchored Toom interface', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 90, no. 4, 042116. https://doi.org/10.1103/PhysRevE.90.042116