Abstract
The Voronoi entropy is a mathematical tool for quantitative characterization of the orderliness of points distributed on a surface. The tool is useful to study various surface self-assembly processes. We provide the historical background, from Kepler and Descartes to our days, and discuss topological properties of the Voronoi tessellation, upon which the entropy concept is based, and its scaling properties, known as the Lewis and Aboav-Weaire laws. The Voronoi entropy has been successfully applied to recently discovered self-assembled structures, such as patterned microporous polymer surfaces obtained by the breath figure method and levitating ordered water microdroplet clusters.
Original language | English |
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Article number | 956 |
Journal | Entropy |
Volume | 20 |
Issue number | 12 |
DOIs | |
State | Published - 1 Dec 2018 |
Keywords
- Aboav law
- Droplet cluster
- Lewis law
- Self-assembly
- Surface patterns
- Voronoi entropy
All Science Journal Classification (ASJC) codes
- Information Systems
- Electrical and Electronic Engineering
- General Physics and Astronomy
- Mathematical Physics
- Physics and Astronomy (miscellaneous)