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Slow decorrelations in Kardar–Parisi–Zhang growth

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, no. 07 (2008): 07022

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rigorous results in statistical mechanicsinterfaces in random media (theory)

Abstract

For stochastic growth models in the Kardar-Parisi-Zhang (KPZ) class in 1 + 1 dimensions, fluctuations grow as t(1/3) during time t and the correlation length at a fixed time scales as t(2/3). In this work we discuss the scale of time correlations. For a representative of the KPZ class, the polynuclear growth model, we show that the space-...More

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Patrik L Ferrari

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