Skip to main content

Research Repository

Advanced Search

Effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains

Khanam, Aklima; Wattis, Jonathan A.D.; Hassan, M. Kamrul

Authors

Aklima Khanam

M. Kamrul Hassan



Abstract

We study random sequential adsorption of particles from a pool onto a one-dimensional substrate following ballistic deposition rules with separate nucleation and growth processes occurring simultaneously. Nucleation describes the formation of point-sized seeds, and after a seed is sown, it acts as an attractor and grows in size by the addition of grains of a fixed size. At each time step either an already-nucleated seed can increase in size, or a new seed may be nucleated. We incorporate a parameter m to describe the relative rates of growth to nucleation. We solve the model analytically to obtain a gap size distribution function and a general expression for the jamming coverage as a function of m . We show that the jamming coverage θ(m) reaches its maximum value of θ(m)=1 in the limit m→∞ following a power-law θ(∞)−θ(m)∼Km−1/2 for some constant K . We also perform an extensive Monte Carlo simulation and find good agreement between analytic and numerical results.

Journal Article Type Article
Publication Date Apr 5, 2019
Journal Physical Review E
Print ISSN 2470-0045
Electronic ISSN 1550-2376
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 99
Issue 4
Article Number 042110
APA6 Citation Khanam, A., Wattis, J. A., & Hassan, M. K. (2019). Effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains. Physical Review E, 99(4), https://doi.org/10.1103/PhysRevE.99.042110
DOI https://doi.org/10.1103/PhysRevE.99.042110
Publisher URL https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.042110

Files





You might also like



Downloadable Citations

;