An exactly solved model of three-dimensional surface growth in the anisotropic KPZ regime

M. Prähofer, H. Spohn

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)999-1012
Number of pages14
JournalJournal of Statistical Physics
Volume88
Issue number5-6
DOIs
StatePublished - Sep 1997
Externally publishedYes

Keywords

  • Fermion world lines
  • Logarithmic correlations
  • Surface growth

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