Kardar–Parisi–Zhang equation

In mathematics, the Kardar–Parisi–Zhang (KPZ) equation is a non-linear stochastic partial differential equation, introduced by Mehran Kardar, Giorgio Parisi, and Yi-Cheng Zhang in 1986. It describes the temporal change of a height field h ( x → , t ) {\displaystyle h({\vec {x}},t)} with spatial coordinate x → {\displaystyle {\vec {x}}} and time coordinate t {\displaystyle t} : ∂ h ( x → , t ) ∂ t = ν ∇ 2 h + λ 2 ( ∇ h ) 2 + η ( x → , t ) .

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