Thin film growth by random deposition of linear polymers on a square lattice

Abstract

We present some results of Monte Carlo simulations for the deposition of particles of different sizes on a two-dimensional substrate. The particles are linear, height one, and can be deposited randomly only in the two, $x$ and $y$ directions of the substrate, and occupy an integer number of cells of the lattice. We show there are three different regimes for the temporal evolution of the interface width. At the initial times we observe an uncorrelated growth, with an exponent ${\beta }_1$ characteristic of the random deposition model. At intermediate times, the interface width presents an unusual behavior, described by a growing exponent ${\beta }_2$, which depends on the size of the particles added to the substrate. If the linear size of the particle is two we have ${\beta }_2<{\beta }_1$, otherwise we have ${\beta }_2>{\beta }_1$, for all other particle sizes. After a long time the growth reaches the saturation regime where the interface width becomes constant and is described by the roughness exponent $\alpha$, which is nearly independent of the size of the particle. Similar results are found in the surface growth due to the electrophoretic deposition of polymer chains. Contrary to one-dimensional results the growth exponents are non-universal.

13 pages, 4 figures, 1 table. Accepted for publication in Physical Review E.

References in corpus (6)

• Random deposition of particles of different sizes
• Surface and Bulk Properties of Deposits Grown with a Bidisperse Ballistic Deposition Model
• Roughening, deroughening, and nonuniversal scaling of the interface width in electrophoretic deposition of polymer chains
• Anomalous Scaling Behavior in Polymer Thin Film Growth by Vapor Deposition
• Mean-field approximations for the restricted solid-on-solid growth models
• Experimental evidence on the development of scale invariance in the internal structure of self-affine aggregates

Cited by in corpus (2)

• Thin film growth by using random shape cluster deposition
• Transitions between epitaxial growth regimes: A (1+1)-dimensional kinetic Monte Carlo study