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 with spatial coordinate and time coordinate : Here is white Gaussian noise with average and second moment , , and are parameters of the model and is the dimension. In one spatial dimension the KPZ equation corresponds to a stochastic version of the Burgers' equation with field via the substitution .

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 with spatial coordinate and time coordinate : Here is white Gaussian noise with average and second moment , , and are parameters of the model and is the dimension. In one spatial dimension the KPZ equation corresponds to a stochastic version of the Burgers' equation with field via the substitution .