An Exactly Solved Model of Three Dimensional Surface Growth in the Anisotropic KPZ Regime

Details An Exactly Solved Model of Three Dimensional Surface Growth in the Anisotropic KPZ Regime An Exactly Solved Model of Three Dimensional Surface Growth in the Anisotropic KPZ Regime

1996-12-23

arxiv.org/abs/cond-mat/9612209v2

J. Stat. Phys. 88, 999 (1997)

Physics

Condensed Matter

Statistical Mechanics

9 pages, REVTEX, epsf, 3 postscript figures, submitted to J. Stat. Phys, a wrong character is corrected in eqs. (31) and (32)

Scientific paper

10.1007/BF02732423

We generalize the surface growth model of Gates and Westcott to arbitrary
inclination. The exact steady growth velocity is of saddle type with principal
curvatures of opposite sign. According to Wolf this implies logarithmic height
correlations, which we prove by mapping the steady state of the surface to
world lines of free fermions with chiral boundary conditions.

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