Kardar-Parisi-Zhang universality class and the anchored Toom interface

G. T. Barkema, P. L. Ferrari, J. L. Lebowitz, H. Spohn

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 [Commun. Math. Phys. 177, 727 (1996)CMPHAY0010-361610.1007/BF02099545].

Original languageEnglish (US)
Article number042116
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number4
DOIs
StatePublished - Oct 8 2014

Fingerprint

Universality
Fluctuations
Scaling Theory
Stationary States
Space-time
statistics
Statistics
scaling
Prediction
predictions
Class

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

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Kardar-Parisi-Zhang universality class and the anchored Toom interface. / Barkema, G. T.; Ferrari, P. L.; Lebowitz, J. L.; Spohn, H.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 90, No. 4, 042116, 08.10.2014.

Research output: Contribution to journalArticle

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