Phys. Rev. Lett. 64, 1405–1408 (1990)Surface roughening in a hypercube-stacking modelReceived 9 November 1989; published in the issue dated 19 March 1990 We study in d+1 dimensions a new deposition and evaporation model of a d-dimensional surface which bears a Potts-spin representation. For the pure deposition case, our simulations on systems up to 115202 sites in d=2 and 2×1923 sites in d=3 yield roughness exponents which violate recent conjectures. Including evaporation, we observe a nonequilibrium surface-roughening transition in d=3, but only a smooth crossover behavior in d=2. A logarithmic anomalous scaling form for surface width at the transition is conjectured. © 1990 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.64.1405
DOI:
10.1103/PhysRevLett.64.1405
PACS:
61.50.Cj, 05.40.+j, 05.70.Ln, 81.10.Bk
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