Hypercube stacking: A potts-spin model for surface growth

Bruce M. Forrest, Lei Han Tang

Research output: Contribution to journalJournal articlepeer-review

31 Citations (Scopus)


We present a deposition and evaporation model for surface growth under a solid-on-solid constraint. We generalize the Ising-spin representation of a two-dimensional surface by Blöte and Hilhorst to ad-dimensional surface of a (d+1)-dimensional hypercubic lattice. The allowed surface configurations correspond to the (degenerate) ground states of a chirald-state Potts model. We describe a vectorized multisite-coding implementation for the corresponding kinetic Potts-spin model ford=2 andd=3. For thed=2 equilibrium surface our simulation results show excellent agreement with an exact analysis.
Original languageEnglish
Pages (from-to)181–202
Number of pages22
JournalJournal of Statistical Physics
Issue number1-2
Publication statusPublished - Jul 1990

User-Defined Keywords

  • Surface growth
  • Potts model
  • solid-on-solid constraint
  • multisite coding
  • vectorization


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