Chutes Too Narrow: The Brazil Nut Effect and the Blessings of the Fall

Foundations of Science 28 (2):627-708 (2023)
  Copy   BIBTEX

Abstract

Scientific papers written as dialogues evoke Platonist philosophical discourses and are foreseen as elementary forms of expression in neoclassical scientific renaissance. Here we report on a study of the Brazil nut effect in a series of macroscopic and microscopic systems in the form of a play in three acts. The nut effect predicting the segregation of smaller grains at the bottom of the mixture and larger ones at the top was observed in a polydisperse mix of manually shaken playground pebbles, albeit following different kinetics than in an agitated pile of chess pieces. Common sense predicts that vertical, gravity-driven segregation in colloidal dispersions with heterogeneous particle size distributions is such that larger particles would settle toward the bottom and the lighter ones cream at the top. Here we refute this expectation and demonstrate that segregation of colloidal particles in the vertical direction conforms to the Brazil nut effect when the agitation is delivered in the forms of vortex mixing or audio vibration, but not when the colloids are manually shaken. The effect is demonstrated on aqueous dispersions of hydroxyapatite and iron oxide nanoparticles. Kinetic experiments showed that segregation increases with the agitation time in mixtures of pebbles and with the post-agitation aging time in fine particle colloids. The particle size gradient established due to agitation-induced segregation led to a corresponding gradient in optoelectronic properties—band gap, conductivity, lattice acoustics—in the vertical direction of the colloidal column for both types of nanoparticles. Such morphological gradients induced by the Brazil nut effect can be harnessed as affordable and facile templates for the synthesis of functionally gradient materials. Discussion of the mechanism and the application potential of the observed effect in colloidal and coarse systems is enriched with a literature review of this curious effect and entwined with the literary elements of the dramaturgical narrative involving a family of scientist in exile from mainstream scientific institutions: the mother, the father, an elementary school boy and a kindergarten girl. The narrative conforms in its structure to the shape of a Brazil nut and presents the first research study whose findings are enacted through a dream. The play questions the humaneness and creative prospects of modern science and celebrates children’s science projects performed with meager resources and a plentiful of imagination, showing that they could be gateways to important scientific discoveries.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,846

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Mathematical Arguments in Context.Jean Bendegem & Bart Kerkhove - 2009 - Foundations of Science 14 (1-2):45-57.
On the Association for Foundations of Science, Language and Cognition, AFOS.[author unknown] - 2004 - Foundations of Science 2 (1):197-198.
Towards a theory of mathematical argument.Ian J. Dove - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), Foundations of Science. Springer. pp. 291--308.
Call for Proposals for Special Issues.[author unknown] - 1999 - Foundations of Science 3 (2):467-467.
Call for Projects of Topic Issues.[author unknown] - 2004 - Foundations of Science 2 (1):199-199.
First Summer School for Theory of Knowledge.[author unknown] - 2004 - Foundations of Science 2 (1):195-195.
Call for Projects of Topic Issues.[author unknown] - 2004 - Foundations of Science 2 (2):400-400.
Biographical notes.[author unknown] - 2000 - Foundations of Science 5 (1):119-120.
Biographical Notes.[author unknown] - 2005 - Foundations of Science 10 (2):247-248.
Biographical Notes.[author unknown] - 2004 - Foundations of Science 10 (3):347-347.
Instructions for Authors.[author unknown] - 2001 - Foundations of Science 6 (4):389-398.
Biographical Notes.[author unknown] - 2002 - Foundations of Science 7 (4):497-500.

Analytics

Added to PP
2023-01-15

Downloads
8 (#1,316,752)

6 months
3 (#973,855)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

I and thou.Martin Buber - 1970 - New York: Charles Scribner’s Sons 57.
Fear and trembling.Søren Kierkegaard - 1939 - Garden City, N.Y.,: Doubleday. Edited by Søren Kierkegaard.
Thus Spake Zarathustra.Friedrich Wilhelm Nietzsche - 1911 - Mineola, NY: Dover Publications. Edited by Thomas Common.
Zen and the Art of Motorcycle Maintenance.Robert M. Pirsig - 1974 - Philosophy and Rhetoric 9 (4):267-270.
Waiting for Aπαταω: 250 Years Later.Victoria Wu & Vuk Uskoković - 2019 - Foundations of Science 24 (4):617-640.

View all 6 references / Add more references