Advertisement

Communications in Mathematical Physics

, Volume 218, Issue 1, pp 153–176 | Cite as

Random Parking, Sequential Adsorption,¶and the Jamming Limit

  • Mathew D. Penrose

Abstract:

Identical cars are dropped sequentially from above into a large parking lot. Each car is positioned uniformly at random, subject to non-overlap with its predecessors, until jamming occurs. There have been many studies of the limiting mean coverage as the parking lot becomes large, but no complete proof that such a limit exists, until now.

We prove spatial laws of large numbers demonstrating that for various multidimensional random and cooperative sequential adsorption schemes such as the one above, the jamming limit coverage is well-defined.

Keywords

Limit Coverage Complete Proof Sequential Adsorption Large Parking Random Parking 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Mathew D. Penrose
    • 1
  1. 1.Department of Mathematical Sciences, University of Durham, South Road, Durham DH1 3LE, UK. E-mail: mathew.penrose@durham.ac.ukUS

Personalised recommendations