A solvable model for irreversible adsorption of large particles

Jordi Faraudo, Javier Bafaluy

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


In this paper we propose and solve analytically a class of models generalizing the ballistic deposition (BD) model for irreversible adsorption of hard particles onto a line. In these new models, when an incoming particle interacts with an adsorbed one, it adsorbs next to it leaving between them a small gap of random size with characteristic length λ. The first moments of the gap distribution suffice to describe the lowest-order corrections to the BD model. In particular, for small values of λ we obtain an asymptotic approach to the BD jamming coverage in agreement with previous Brownian simulations which take into account diffusion and gravity.
Original languageEnglish
Pages (from-to)73-83
JournalJournal of Physics A: Mathematical and General
Publication statusPublished - 9 Jan 1998


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