Hidden symmetry, exact relations, and a small parameter in surface growth models with diffusion

Pui-Man Lam and Diola Bagayoko

Physica A: Statistical Mechanics and its Applications, 1996, vol. 223, issue 3, 413-417

Abstract: An exact relation between the Green's function and the dressed three-point vertex function Γ was found for the Langevin equations describing surface growth with diffusion in 1 + d dimensions. This relation follows from a hidden symmetry of the problem with a gauge function depending on time only and turns out to be exactly the same as that found by Lebedev and L'vov for the Kardar-Parisi-Zhang (KPZ) equation of surface roughening. By a similar analysis as was done for the KPZ equation we conclude that in the region of strong coupling Γ − Γ ∼ 0.1Γ0, where Γ0 is the bare value of the vertex Γ.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:223:y:1996:i:3:p:413-417

DOI: 10.1016/0378-4371(95)00195-6

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