Probability/PDE Interactions: Interface Models and Particle Systems / Interactions EDP/Probabilités : interfaces et systèmes de particules

Collection Probability/PDE Interactions: Interface Models and Particle Systems / Interactions EDP/Probabilités : interfaces et systèmes de particules

Organizer(s) Duerinckx, Mitia ; Gess, Benjamin ; Fathi, Max ; Guillin, Arnaud ; Simon, Marielle

Date(s) 25/04/2022 - 29/04/2022

linked URL https://conferences.cirm-math.fr/2557.html

00:00:00 / 00:00:00

4 5

Einstein's effective viscosity formula

By Antoine Gloria

In 1905, Albert Einstein published two papers that led to an experiment to measure the Avogadro number. The first paper studies the Brownian motion and establishes the Einstein relation in kinetic theory. The second paper studies a Stokes fluid with a suspension of rigid particles, and establishes the Einstein formula for the effective viscosity of this 'complex fluid'. The Avogadro number, which appears in both relations, can then be deduced from two measurements of fluid mechanics. Performed by Jean Perrin in 1907-1909, these experiments confirmed the atomistic nature of matter (for which he was awarded a Nobel prize in 1926) using classical fluid mechanics! The aim of the talk is to give an elementary and robust proof of Einstein's effective viscosity formula, and to discuss higher-order expansions. This is a joint work with Mitia Duerinckx (ULB).

Information about the video

Date of recording 28/04/2022
Date of publication 10/05/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19909903
Cite this video Gloria, Antoine (28/04/2022). Einstein's effective viscosity formula. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19909903
URL https://dx.doi.org/10.24350/CIRM.V.19909903

Domain(s)

Bibliography

DUERINCKX, Mitia et GLORIA, Antoine. On Einstein's effective viscosity formula. arXiv preprint arXiv:2008.03837, 2020. - https://arxiv.org/abs/2008.03837

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