Mean Field Theory of Polynuclear Surface Growth

• Published in: arXiv.org
• Main Authors: Ben-Naim, E, Bishop, A R, Daruka, I, Krapivsky, P L
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 24.11.1997
• Subjects: Computer simulation; Continuum modeling; Lower bounds; Mathematical models; Mean field theory; Substrates

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 im...