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