Variational Formulation for the KPZ and Related Kinetic Equations

Details Variational Formulation for the KPZ and Related Kinetic Equations Variational Formulation for the KPZ and Related Kinetic Equations

2009-11-25

arxiv.org/abs/0911.4800v1

Published in Int. J. Bif. & Chaos v.19, 2813-2821 (2009)

Physics

Condensed Matter

Statistical Mechanics

RevTex, 8pgs, double column

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.

Affiliated with

Also associated with

No associations

Rating

Variational Formulation for the KPZ and Related Kinetic Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Variational Formulation for the KPZ and Related Kinetic Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational Formulation for the KPZ and Related Kinetic Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-623392