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Experimental determination of the random-parking limit in two dimensions
Abstract
The two-dimensional random-parking limit is the area fraction of a plane covered by circles when the circles are added sequentially in a random way, without overlap, until no further circles can be added. As yet, no analytical solution exists for this limit. Several computer simulations and one experimental study have been carried out in the past, with results varying from 50% to 62% for the parking limit. In our work, we carry out an experimental determination of this parking limit, utilizing a spherical colloid that sticks irreversibly to a flat substrate. The experimental value obtained is 0.55\ifmmode\pm\else\textpm\fi{}0.01, which agrees with two of the most recent, computer-generated values.
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Cited by
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Ehrenberg, M. S., Friedman, A. E., Finkelstein, J. N., Oberdörster, G., & McGrath, J. L. (2009) · Biomaterials · doi:10.1016/j.biomaterials.2008.09.050 · Cited by 412
Surface exclusion effects in adsorption processes
Schaaf, P., & Talbot, J. (1989) · The Journal of Chemical Physics · doi:10.1063/1.456768 · Cited by 351
Metadata
- Authors
- Onoda, G. Y., & Liniger, E. G.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1986-01-01
- Volume
- 33
- Issue
- 1
- Pages
- 715-716
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2094686579
- Cited by
- 201
- References
- 0
- FWCI
- 2.13
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Experimental determination of the random-parking limit in two dimensions. https://app.cochat.ai/papers/10.1103/physreva.33.715
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- Onoda, G. Y., & Liniger, E. G. (1986). Experimental determination of the random-parking limit in two dimensions. Physical Review A. https://doi.org/10.1103/physreva.33.715
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