title: Scaling behavior near jamming in random sequential adsorption.
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.
authors.affiliation: School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
authors.forename: B E
authors.initials: BE
authors.lastname: Purvis
authors.affiliation: School of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
authors.forename: L
authors.initials: L
authors.lastname: Reeve
authors.affiliation: School of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
authors.forename: J A D
authors.initials: JA
authors.lastname: Wattis
authors.affiliation: School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
authors.forename: Y
authors.initials: Y
authors.lastname: Mao
mesh_terms: D000327:Adsorption; D003198:Computer Simulation; D008962:Models, Theoretical