Multisurface coding simulations of the restricted solid-on-solid model in four dimensions

Abstract: We study the restricted solid-on-solid model for surface growth in spatial dimension d = 4 by means of a multisurface coding technique that allows us to analyze samples of size up to 256(4) in the steady-state regime. For such large systems we are able to achieve a controlled asymptotic regime where the typical scale of the fluctuations are larger than the lattice spacing used in the simulations. A careful finite-size scaling analysis of the critical exponents clearly indicate that d = 4 is not the upper critical dimension of the model.