Mean Field Theory of Polynuclear Surface Growth

Details Mean Field Theory of Polynuclear Surface Growth Mean Field Theory of Polynuclear Surface Growth

1997-11-24

arxiv.org/abs/cond-mat/9711249v1

J. Phys. A 31, 5001 (1998)

Physics

Condensed Matter

Statistical Mechanics

revtex, 7 pages, 4 figs

Scientific paper

10.1088/0305-4470/31/22/005

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 behavior of the coverage. Numerical simulations show that this theory gives an improved approximation for the coverage compare 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 roughness exponent.

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