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arXiv · 1505.01989

Kurtosis of height fluctuations in $(1+1)$ dimensional KPZ Dynamics

Tapas Singha·Malay K. Nandy
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Abstract

We study the fourth order normalized cumulant of height fluctuations governed by $1+1$ dimensional Kardar-Parisi-Zhang (KPZ) equation for a growing surface. Following a diagrammatic renormalization scheme, we evaluate the kurtosis $Q$ from the connected diagrams leading to the value $Q=0.1523$ in the large-scale long-time limit.

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Tapas Singha, Malay K. Nandy. 2015-05-08. Kurtosis of height fluctuations in $(1+1)$ dimensional KPZ Dynamics. https://doi.org/10.1088/1742-5468/2015/05/p05020

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