111 years of Brownian motion

2016/01/01 by Xin Bian, Changho Kim, George Em Karniadakis · 2 citations
Physics and Astronomy · Materials Science · #Advanced Thermodynamics and Statistical Mechanics #Material Dynamics and Properties #Micro and Nano Robotics

paper · doi:10.1039/c6sm01153e

openalex publication_date 2016/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider the Brownian motion of a particle and present a tutorial review over the last 111 years since Einstein's paper in 1905. We describe Einstein's model, Langevin's model and the hydrodynamic models, with increasing sophistication on the hydrodynamic interactions between the particle and the fluid. In recent years, the effects of interfaces on the nearby Brownian motion have been the focus of several investigations. We summarize various results and discuss some of the controversies associated with new findings about the changes in Brownian motion induced by the interface.

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Cited by

• Simulating stochastic adsorption of diluted solute molecules at interfaces
• Fick's laws of diffusion [wikipedia]