Year: 2013
Type: preprint
Abstract: in this article a multilayer parking system of size n=3 is studied. We prove that the asymptotic limit of the particle density in the center approaches a maximum of 1/2 in higher layers. This means a significant increase of capacity compared to the first layer where this value is 1/3. This is remarkable because the process is solely driven by randomness. We conjecture that the results applies to all finite parking systems with n larger or equal than 2.
Source: arXiv (Cornell University)
Authors: Fleurke, Sjoert, van Enter, Aernout C. D.
Institutions: University of Groningen, Radiocommunications Agency
Language: English
Subfield: Building and Construction
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949629729