Dynamical Renormalization Group Study of a Conserved Surface Growth with AntiDiffusive and.pdf

Dynamical Renormalization Group Study of a Conserved Surface Growth with Anti-Diffusive and Nonlinear Currents † †∗ ‡∗∗ Youngkyun Jung , In-mook Kim and Yup Kim † Department of Physics, Korea University, Seoul, 136-701, KOREA 6 9 ‡ Department of Physics and Research Institute for Basic Sciences 9 1 Kyung-Hee University Seoul 130-701, KOREA p e S 7 1 1 Abstract v 9 4 1 Based on dynamical renormalization group (RG) calculations to the one- 9 0 6 loop order, the surface growth described by a nonlinear stochastic conserved 9 / growth equation, ∂h 2 3 = ±ν ∇ h + λ∇ (∇h) + η (ν 0), is studied ana- t ∂t 2 2 a m lytically. The universality class of the growth described by the above equa- - d tion with +ν2 (diffusion) is shown to be the same as that described by the n o c Edwards-Wilkinson (EW) equation (i.e. +ν2 and λ = 0). In contrast our RG : v i recursion relations manifest that the growth described by the above equation X r with −ν (anti-diffusion) is an unstable growth and do not reproduce the re- a 2 cent results from a numerical simulation by J. M. Kim [Phys. Rev. E 52, 6267 (1995)]. PACS No.: 05.40.+j; 05.70.Ln; 68.35.Fx; 61.50.Cj. ∗ E-mail : imkim@kuccnx.korea.ac.kr ∗∗E-mail : ykim@nms.kyun