Dynamical Renormalization Group Study of a Conserved Surface Growth with Anti-Diffusive and Nonlinear Currents

Details Dynamical Renormalization Group Study of a Conserved Surface Growth with Anti-Diffusive and Nonlinear Currents Dynamical Renormalization Group Study of a Conserved Surface Growth with Anti-Diffusive and Nonlinear Currents

1996-09-17

arxiv.org/abs/cond-mat/9609149v1

Physics

Condensed Matter

10 pages, REVTEX, Submitted to Physical Review E

Scientific paper

Based on dynamical renormalization group (RG) calculations to the one-loop order, the surface growth described by a nonlinear stochastic conserved growth equation, {\partial h \over \partial t} = \pm \nu_2 \nabla^2 h + \lambda\nabla \cdot (\nabla h)^3 + \eta, is studied analytically. The universality class of the growth described by the above equation with +{\nu_2} (diffusion) is shown to be the same as that described by the Edwards-Wilkinson (EW) equation (i.e. +\nu_2 and \lambda=0). In contrast our RG recursion relations manifest that the growth described by the above equation with {-\nu_2}(anti-diffusion) is an unstable growth and do not reproduce the recent results from a numerical simulation by J. M. Kim [Phys. Rev. E 52, 6267 (1995)].

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