KPZ universality class and the anchored Toom interface
classification
🧮 math-ph
cond-mat.stat-mechmath.MPmath.PR
keywords
interfaceanchoredfluctuationstoomairyargueclassconfirmed
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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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