Work

A Solidification Phenomenon in Random Packings

Year: 2005

Type: preprint

Abstract: We prove that uniformly random packings of copies of a certain simply-connected figure in the plane exhibit global connectedness at all sufficiently high densities, but not at low densities.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.cond-mat/0512686

Authors: Bowen, Lewis, Lyons, Russell, Radin, Charles, Winkler, Peter

Institutions: Indiana University Bloomington, Indiana University, Dartmouth College

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Banff International Research Station for Mathematical Innovation and Discovery

Awards: The Symmetry of Densest Packings of Space, Probability on Combinatorial Structures

OpenAlex ID: W2950896444

Cites: 5

Cited by: 1

Related to: 8