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KPZ universality class and the anchored Toom interface

Authors
  • Barkema, G. T.
  • Ferrari, P. L.
  • Lebowitz, J. L.
  • Spohn, H.
Type
Preprint
Publication Date
Sep 23, 2014
Submission Date
May 30, 2014
Identifiers
DOI: 10.1103/PhysRevE.90.042116
Source
arXiv
License
Yellow
External links

Abstract

We revisit the anchored Toom interface and use KPZ scaling theory to argue that the interface fluctuations are governed by the Airy_1 process with the role of space and time interchanged. There is no free parameter. The predictions are numerically well confirmed for space-time statistics in the stationary state. In particular the spatial fluctuations of the interface are given by the GOE edge distribution of Tracy and Widom.

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