Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-07-22
Int. J. Bif. Chaos v.19 (8), 1-9 (Aug. 2009)
Physics
Condensed Matter
Statistical Mechanics
LaTex, 10 pgs
Scientific paper
We present a variational formulation for the Kardar-Parisi-Zhang (KPZ) equation that leads to a thermodynamic-like potential for the KPZ as well as for other related kinetic equations. For the KPZ case, with the knowledge of such a potential we prove some global shift invariance properties previously conjectured by other authors. We also show a few results about the form of the stationary probability distribution function for arbitrary dimensions. The procedure used for KPZ was extended in order to derive more general forms of such a functional leading to other nonlinear kinetic equations, as well as cases with density dependent surface tension.
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