KPZ equation: Galilean-invariance violation, consistency, and fluctuation-dissipation issues in real-space discretization
نویسندگان
چکیده
منابع مشابه
Discretization-related issues in the Kardar-Parisi-Zhang equation: consistency, Galilean-invariance violation, and fluctuation-dissipation relation.
In order to perform numerical simulations of the Kardar-Parisi-Zhang (KPZ) equation, in any dimensionality, a spatial discretization scheme must be prescribed. The known fact that the KPZ equation can be obtained as a result of a Hopf-Cole transformation applied to a diffusion equation (with multiplicative noise) is shown here to strongly restrict the arbitrariness in the choice of spatial disc...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2010
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/89/40008