Campus Units

Physics and Astronomy, Mathematics, Ames Laboratory, Chemistry

Document Type

Article

Publication Version

Published Version

Publication Date

1984

Journal or Book Title

Journal of Mathematical Physics

Volume

25

Issue

8

First Page

2519

Last Page

2526

DOI

10.1063/1.526435

Abstract

We consider the kinetics of a process where the sites of an infinite 1‐D lattice are filled irreversibly and, in general, cooperatively by N‐mers (taking Nconsecutive sites at a time). We extend the previously available exact solutionfor nearest neighbor cooperative effects to range N cooperative effects. Connection with the continuous ‘‘cooperative car parking problem’’ is indicated. Both uniform and periodic lattices, and empty and certain partially filled lattice initial conditions are considered. We also treat monomer ‘‘filling in stages’’ for certain highly autoinhibitory cooperative effects of arbitrary range.

Comments

This article is published as Wolf, N. O., J. W. Evans, and D. K. Hoffman. "Exactly solvable irreversible processes on one‐dimensional lattices." Journal of mathematical physics 25, no. 8 (1984): 2519-2526, doi:10.1063/1.526435. Posted with permission.

Copyright Owner

American Institute of Physics

Language

en

File Format

application/pdf

Included in

Physics Commons

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