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

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

doi:10.1103/PhysRevE.90.042116

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 journal › Article › peer-review

4 Scopus citations

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 language	English (US)
Article number	042116
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	90
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.90.042116
State	Published - Oct 8 2014

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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title = "Kardar-Parisi-Zhang universality class and the anchored Toom interface",

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].",

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AU - Ferrari, P. L.

AU - Lebowitz, J. L.

AU - Spohn, H.

PY - 2014/10/8

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N2 - 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].

AB - 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].

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

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