1997/11/24 by E. Ben-Naim, E. Ben‐Naim, A. R. Bishop +2 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Block Copolymer Self-Assembly #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/31/22/005
published as J. Phys. A 31, 5001 (1998) · revtex, 7 pages, 4 figs
arxiv created 1997/11/24 · openalex publication_date 1998/06/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study statistical properties of a continuum model of polynuclear surface growth on an infinite substrate. We develop a self-consistent mean-field theory which is solved to deduce the growth velocity and the extremal behaviour of the coverage. Numerical simulations show that this theory gives an improved approximation for the coverage compared to the previous linear recursion relations approach. Furthermore, these two approximations provide useful upper and lower bounds for a number of characteristics including the coverage, growth velocity and the width exponent.