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Random absorption on a 1D chain with several states per site

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  • McCabe, John

Abstract

We construct models for the random absorption of monomers on a one-dimensional lattice which has two states per site and one of two types of nearest-neighbor state-dependent interactions. The “jamming” coverage, Θ(∞), for both models is found to be 1−12e. We also generalize one of these models to allow “r” states per site and calculate the new “jamming” coverage. The large “r” limit is related to a RSA nearest-neighbor exclusion model with two time scales.

Suggested Citation

  • McCabe, John, 1993. "Random absorption on a 1D chain with several states per site," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 571-579.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:3:p:571-579
    DOI: 10.1016/0378-4371(93)90068-F
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