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Scaling behavior near jamming in random sequential adsorption

B. E. Purvis1,†, L. Reeve2,‡, J. A. D. Wattis2,§, and Y. Mao1,∥

  • 1School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
  • 2School of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

  • *These authors contributed equally to this work.
  • †ppybp@nottingham.ac.uk
  • ‡pmylr3@nottingham.ac.uk
  • §jonathan.wattis@nottingham.ac.uk
  • ∥yong.mao@nottingham.ac.uk
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Phys. Rev. E 91, 022118 – Published 17 February, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.022118

Abstract

For the random sequential adsorption model, we introduce the “availability” as a variable corresponding to the number of available locations in which an adsorbate can be accommodated. We investigate the relation of the availability to the coverage of the adsorbent surface over time. Power law scaling between the two is obtained both through numerical simulations and analytical techniques for both one- and two-dimensional random sequential adsorption, as well as in the case of competitive random sequential adsorption in one dimension.

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Phys. Rev. E 91, 022118– Published 17 February, 2015
  • Received 5 November 2014
  • Revised 22 January 2015

©2015 American Physical Society

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