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 .
known for
Wikipage disambiguates
Asymmetric simple exclusion processBurgers' equationDynamic scalingGiorgio ParisiIvan CorwinKPZKPZ-EquationKPZ equationKardar-Parisi-Zhang equationKardar-Parisi-Zhang modelKardar–Parisi–Zhang modelList of nonlinear partial differential equationsMehran KardarParisiRegularity structureRough pathStochastic partial differential equationSurface growth
Link from a Wikipage to another Wikipage
known for
primaryTopic
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 .
has abstract
In mathematics, the Kardar–Par ...... in the case of the SOS model.
@en
La ecuación KPZ (por las inici ...... iales y temporales arroja que:
@es
カーダー・パリージ・ザン方程式(英: Kardar–Pari ...... 方程式で記述される界面は巨視的にはオーバーハングを持たない。
@ja
Link from a Wikipage to an external page
Wikipage page ID
30,724,348
page length (characters) of wiki page
Wikipage revision ID
1,011,586,348
Link from a Wikipage to another Wikipage
date
February 2021
@en
reason
The problem is that is not sm ...... the small scale fluctuations.
@en
wikiPageUsesTemplate
comment
In mathematics, the Kardar–Par ...... h field via the substitution .
@en
La ecuación KPZ (por las inici ...... tipo de solución. En concreto:
@es
カーダー・パリージ・ザン方程式(英: Kardar–Pari ...... 方程式で記述される界面は巨視的にはオーバーハングを持たない。
@ja
label
Ecuación de Kardar–Parisi–Zhang
@es
Kardar–Parisi–Zhang equation
@en
カーダー・パリージ・ザン方程式
@ja