title: Effect of symmetry on volume conserving surface models.
abstract: We study the effect of symmetry on volume conserving models without deposition and evaporation. By using the master equation approach, we identify two types of stochastic continuum equation with a conservative noise, depending on the symmetry of hopping rate in diffusion rules. In the model with symmetric hopping rate, a Laplacian term is essentially absent from the continuum equation. The dynamic scaling of this model is thus determined by the nonlinear fourth order equation with a conservative noise. When the symmetry is broken, a Laplacian term may be present, so the asymptotic scaling behavior is governed by the Laplacian term with nonzero coefficient. We verify this result by investigating a simple discrete model analytically.
authors.affiliation: Department of Physics, Korea University, Seoul 136-701, Korea.
authors.forename: Y
authors.initials: Y
authors.lastname: Jung
authors.forename: I M
authors.initials: IM
authors.lastname: Kim Im