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The constructal law origin of the logistics S curve
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10.1063/1.3606555
/content/aip/journal/jap/110/2/10.1063/1.3606555
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/2/10.1063/1.3606555

Figures

Image of FIG. 1.
FIG. 1.

Examples of S-curve phenomena: the growth of brewer’s yeast (Ref. 1), the spreading of radios and TVs (Ref. 2), and the growth of the readership of scientific publications (Ref. 3).

Image of FIG. 2.
FIG. 2.

Line-shaped invasion, followed by consolidation by transversal diffusion. The predicted history of the area covered by diffusion reveals the S-shape curve.

Image of FIG. 3.
FIG. 3.

Tree-shaped invasion, showing the narrow regions covered by diffusion in the immediate vicinity of the invasion lines.

Image of FIG. 4.
FIG. 4.

(Color online) The evolution of human-made volume-point flow underground: drilling and oil extraction pattern under the Empty Quarter, Saudi Arabia (Courtesy of Aramco). This tree-shaped design is an icon of all mining that occurs worldwide: coal, gas, metals, etc.

Tables

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Table I.

The scales of the S-curve phenomenon.

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/content/aip/journal/jap/110/2/10.1063/1.3606555
2011-07-20
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The constructal law origin of the logistics S curve
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/2/10.1063/1.3606555
10.1063/1.3606555
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