Self Consistent Expansion for the Molecular Beam Epitaxy Equation

Details Self Consistent Expansion for the Molecular Beam Epitaxy Equation Self Consistent Expansion for the Molecular Beam Epitaxy Equation

2001-07-06

arxiv.org/abs/cond-mat/0107153v2

Phys. Rev. E 65, 032103 (2002)

Physics

Condensed Matter

Materials Science

16 pages

Scientific paper

10.1103/PhysRevE.65.032103

Motivated by a controversy over the correct results derived from the dynamic renormalization group (DRG) analysis of the non linear molecular beam epitaxy (MBE) equation, a self-consistent expansion (SCE) for the non linear MBE theory is considered. The scaling exponents are obtained for spatially correlated noise of the general form $D({\vec r - \vec r',t - t'}) = 2D_0 | {\vec r - \vec r'} |^{2\rho - d} \delta ({t - t'})$. I find a lower critical dimension $d_c (\rho) = 4 + 2\rho $, above, which the linear MBE solution appears. Below the lower critical dimension a r-dependent strong-coupling solution is found. These results help to resolve the controversy over the correct exponents that describe non linear MBE, using a reliable method that proved itself in the past by predicting reasonable results for the Kardar-Parisi-Zhang (KPZ) system, where DRG failed to do so.

Affiliated with

Also associated with

No associations

Rating

Self Consistent Expansion for the Molecular Beam Epitaxy Equation 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 Self Consistent Expansion for the Molecular Beam Epitaxy Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self Consistent Expansion for the Molecular Beam Epitaxy Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-67330