Large fluctuations of a Kardar-Parisi-Zhang interface on a half-line

Baruch Meerson, Arkady Vilenkin

Consider a stochastic interface $h(x,t)$, described by the $1+1$ Kardar-Parisi-Zhang (KPZ) equation on the half-line $x\ge 0$. The interface is initially flat, $h(x,t=0)=0$, and d…