Self-consistent expansion for the molecular beam epitaxy equation

Eytan Katzav*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


Motivated by a controversy over the correct results derived from the dynamic renormalization group (DRG) analysis of the nonlinear molecular beam epitaxy (MBE) equation, a self-consistent expansion for the nonlinear MBE theory is considered. The scaling exponents are obtained for spatially correlated noise of the general form [formula presented] I find a lower critical dimension [formula presented] above which the linear MBE solution appears. Below the lower critical dimension a ρ-dependent strong-coupling solution is found. These results help to resolve the controversy over the correct exponents that describe nonlinear MBE, using a reliable method that proved itself in the past by giving reasonable results for the strong-coupling regime of the Kardar-Parisi-Zhang system (for [formula presented] where DRG failed to do so.

Original languageAmerican English
JournalPhysical Review E
Issue number3
StatePublished - 2002
Externally publishedYes


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