Campus Units
Physics and Astronomy, Mathematics, Ames Laboratory
Document Type
Article
Publication Version
Published Version
Publication Date
1993
Journal or Book Title
The Journal of Chemical Physics
Volume
99
Issue
2
First Page
1438
Last Page
1439
DOI
10.1063/1.465338
Abstract
We consider the irreversible random sequential adsorption of particles taking ksites at a time, on a one‐dimensional lattice. We present an exact expansion for the coverage, θ(t,k)=A0(t)+A1(t)k−1+A2(t)k−2+..., for times, 0≤t≤O(k), and at saturation t=∞. The former is new and the latter extends Mackenzie’s results [J. Chem. Phys. 37, 723 (1962)]. For these expansions, we note that the coefficients Ai≥1(∞) are not obtained as large‐t limits of the Ai≥1(t). Finally, we comment on the Laurent expansions for general O(k)<t<∞, which reveal the occurrence of additional kn terms, with n≳0.
Copyright Owner
American Institute of Physics
Copyright Date
1993
Language
en
File Format
application/pdf
Recommended Citation
Bartelt, M. C.; Evans, James W.; and Glasser, M. L., "The car‐parking limit of random sequential adsorption: Expansions in one dimension" (1993). Physics and Astronomy Publications. 394.
https://lib.dr.iastate.edu/physastro_pubs/394
Comments
This article is published as Bartelt, M. C., J. W. Evans, and M. L. Glasser. "The car‐parking limit of random sequential adsorption: Expansions in one dimension." The Journal of chemical physics 99, no. 2 (1993): 1438-1439, doi:10.1063/1.465338. Posted with permission.