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≤tO(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.

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.

Copyright Owner

American Institute of Physics

Language

en

File Format

application/pdf

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