Finite-size effects in the short-time height distribution of the Kardar-Parisi-Zhang equation

Naftali R. Smith, Baruch Meerson, Pavel Sasorov

We use the optimal fluctuation method to evaluate the short-time probability distribution $\mathcal{P}\left(H,L,t\right)$ of height at a single point, $H=h\left(x=0,t\right)$, of t…