Synonyms
Definition
The temperature of a fluid is a measure of the average kinetic energy of the fluid molecules. Thus, all fluids above absolute zero consist of molecules that constantly collide with each other and with any other object suspended in the fluid. Even at thermodynamic equilibrium in the fluid (zero average heat flow), these collisions impart a random motion to every particle in the fluid that is termed as Brownian motion – named after Robert Brown who first observed such motion in pollen grains suspended in a fluid.
Overview
Albert Einstein was the first [1] to describe the cause of this motion in a comprehensive way that related the prevalent kinetic theory viewpoint with the random-walk theory-based description that was coming into vogue at the time. Quantifying the extent of Brownian motion provided an early proof of the existence of molecules and was also recognized as a way to model a variety of applications – for example, in stock markets and...
This is a preview of subscription content, log in via an institution.
References
Einstein A (1905) On the movement of small particles suspended in stationary Liquids required by the molecular-kinetic theory of heat. Ann D Phys 17:549
Gillespie DT (1993) Fluctuation and dissipation in brownian motion. Am J Phys 61(12):1077
Michalet X, Berglund A (2012) Optimal diffusion coefficient estimation in single-particle tracking. Phys Rev E 85:061916
Crocker JC, Grier DG (1996) Methods of digital video microscopy for colloidal studies. J Coll Interf Sci 179:298
Mathai P et al (2013) Simultaneous positioning and orientation of single nano-wires using flow control. RSC Adv 3:2677
Astumian RD (1997) Thermodynamics and kinetics of a brownian motor. Science 276:917
Lukic B et al (2005) Direct observation of nondiffusive motion of a brownian particle. Phys Rev Lett 95:160601
Matsubara H, Pichierri F (2012) Mechanism of diffusion slowdown in confined liquids. Phys Rev Lett 109:197801
Klafter J, Sokolov IM (2005) Anomalous diffusion spreads its wings. Phys World 18, 29–32
Metzler R, Klafter J (2000) The random walk:s guide to anomalous diffusion: a fractional dynamics approach. Phys Report 339(77):1
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this entry
Cite this entry
Mathai, P. (2014). Brownian Motion in Microfluidics and Nanofluidics. In: Li, D. (eds) Encyclopedia of Microfluidics and Nanofluidics. Springer, Boston, MA. https://doi.org/10.1007/978-3-642-27758-0_129-4
Download citation
DOI: https://doi.org/10.1007/978-3-642-27758-0_129-4
Received:
Accepted:
Published:
Publisher Name: Springer, Boston, MA
Online ISBN: 978-3-642-27758-0
eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering