Large fluctuations of the KPZ equation in a half-space

We investigate the short-time regime of the KPZ equation in $1+1$ dimensions and develop a unifying method to obtain the height distribution in this regime, valid whenever an exact solution exists in the form of a Fredholm Pfaffian or determinant. These include the droplet and stationary initial...

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Bibliographic Details
Main Author: Alexandre Krajenbrink, Pierre Le Doussal
Format: Article
Language:English
Published: SciPost 2018-10-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.5.4.032