The car-parking limit of random sequential adsorption: Expansions in one dimension

Journal Article · Thu Jul 15 04:00:00 EDT 1993 · Journal of Chemical Physics; (United States)

DOI:https://doi.org/10.1063/1.465338· OSTI ID:6521145

Bartelt, M C ^[1]; Evans, J W ^[2]; Glasser, M L ^[3]

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1. Institute for Physical Research and Technology and Ames Laboratory, Iowa State University, Ames, Iowa 50011 (United States)
2. Department of Mathematics and Ames Laboratory, Iowa State University, Ames, Iowa 50011 (United States)
3. Department of Physics and Department of Mathematics Computer Science, Clarkson University, Potsdam, New York 13699 (United States)

We consider the irreversible random sequential adsorption of particles taking [ital k] sites at a time, on a one-dimensional lattice. We present an exact expansion for the coverage, [theta]([ital t],[ital k])=[ital A][sub 0]([ital t])+[ital A][sub 1]([ital t])[ital k][sup [minus]1]+[ital A][sub 2]([ital t])[ital k][sup [minus]2]+..., for times, 0[le][ital t][le][ital O]([ital k]), and at saturation [ital t]=[infinity]. The former is new and the latter extends Mackenzie's results [J. Chem. Phys. [bold 37], 723 (1962)]. For these expansions, we note that the coefficients [ital A][sub [ital i][ge]1]([infinity]) are not obtained as large-[ital t] limits of the [ital A][sub [ital i][ge]1]([ital t]). Finally, we comment on the Laurent expansions for general [ital O]([ital k])[lt][ital t][lt][infinity], which reveal the occurrence of additional [ital k][sup [ital n]] terms, with [ital n][gt]0.

• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 6521145
• Journal Information: Journal of Chemical Physics; (United States), Journal Name: Journal of Chemical Physics; (United States) Vol. 99:2; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADSORPTION
DEPOSITION
IRREVERSIBLE PROCESSES
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
RANDOMNESS
SERIES EXPANSION
SORPTION