Aklima Khanam
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
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.
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), Article 042110. https://doi.org/10.1103/PhysRevE.99.042110
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 24, 2019 |
Online Publication Date | Apr 5, 2019 |
Publication Date | Apr 5, 2019 |
Deposit Date | Apr 1, 2019 |
Publicly Available Date | Apr 1, 2019 |
Journal | Physical Review E |
Print ISSN | 2470-0045 |
Electronic ISSN | 2470-0053 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 99 |
Issue | 4 |
Article Number | 042110 |
DOI | https://doi.org/10.1103/PhysRevE.99.042110 |
Public URL | https://nottingham-repository.worktribe.com/output/1723929 |
Publisher URL | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.042110 |
Contract Date | Apr 1, 2019 |
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