Kardar–Parisi–Zhang equation

The Kardar–Parisi–Zhang (KPZ) equation is a fundamental equation in statistical physics that describes the dynamics of interface growth and evolution, particularly in the context of stochastic processes. It was introduced by Mehran Kardar, Giorgio Parisi, and Yi-Cheng Zhang in 1986. The KPZ equation is notable for its relevance in various fields, including nonequilibrium statistical mechanics, surface growth phenomena, and even in connection to certain problems in mathematical physics and probability theory.