dorsal/arxiv
View SchemaBrownian Motion: Theory and Experiment:: A simple Classroom Measurement of the Diffusion Coefficient
| Authors | Kasturi Basu, Kopinjol Baishya |
|---|---|
| Categories | |
| ArXiv ID | physics/0303064 |
| URL | https://arxiv.org/abs/physics/0303064 |
| Journal | Resonance Vol. 8, No. 3, 71-80, March 2003 |
Abstract
Brownian motion is the perpetual irregular motion exhibited by small particles immersed in a fluid. Such random motion of the particles is produced by statistical fluctuations in the collisions they suffer with the molecules of the surrounding fluid. Brownian motion of particles in a fluid (like milk particles in water) can be observed under a microscope. Here we describe a simple experimental set-up to observe Brownian motion and a method of determining the diffusion coefficient of the Brownian particles, based on a theory due to Smoluchowski. While looking through the microscope we focus attention on a fixed small volume, and record the number of particles that are trapped in that volume, at regular intervals of time. This gives us a time-series data, which is enough to determine the diffusion coefficient of the particles to a good degree of accuracy.
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"abstract": "Brownian motion is the perpetual irregular motion exhibited by small\nparticles immersed in a fluid. Such random motion of the particles is produced\nby statistical fluctuations in the collisions they suffer with the molecules of\nthe surrounding fluid. Brownian motion of particles in a fluid (like milk\nparticles in water) can be observed under a microscope. Here we describe a\nsimple experimental set-up to observe Brownian motion and a method of\ndetermining the diffusion coefficient of the Brownian particles, based on a\ntheory due to Smoluchowski. While looking through the microscope we focus\nattention on a fixed small volume, and record the number of particles that are\ntrapped in that volume, at regular intervals of time. This gives us a\ntime-series data, which is enough to determine the diffusion coefficient of the\nparticles to a good degree of accuracy.",
"arxiv_id": "physics/0303064",
"authors": [
"Kasturi Basu",
"Kopinjol Baishya"
],
"categories": [
"physics.ed-ph"
],
"journal_ref": "Resonance Vol. 8, No. 3, 71-80, March 2003",
"title": "Brownian Motion: Theory and Experiment:: A simple Classroom Measurement of the Diffusion Coefficient",
"url": "https://arxiv.org/abs/physics/0303064"
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