First observed by botanist Robert Brown in 1827, Brownian Motion describes the continuous, chaotic movement of tiny particles, such as pollen grains, suspended in a medium. This motion results from ...

The story of Brownian motion began with experimental confusion and philosophical debate, before Einstein, in one of his least well-known contributions to physics, laid the theoretical groundwork for ...

If you enjoyed this article, I’d like to ask for your support. Scientific American has served as an advocate for science and industry for 180 years, and right now may be the most critical moment in ...

This refers to the random and erratic movement of microscopic particles that are suspended in any fluid, like water or oil. Brownian motion is the result of the impact of the random bombardment of ...

Limit theorems of Berman involve the total time spent by Brownian motion with negative drift above a fixed or exponentially distributed negative level. We give explicitly the probability densities and ...

Moving pictures: microscope image of a quasicrystal two days after release. The right half has been colour coded. (Courtesy: Po-Yuan Wang and Thomas Mason/Nature) A quasicrystal made from tiny Penrose ...

David Harper is the CEO and founder of Bionic Turtle. He is also a published author with a popular YouTube channel on expert finance topics. Samantha (Sam) Silberstein, CFP®, CSLP®, EA, is an ...

The organs of the vestibular, auditory and lateral line systems rely on a common strategy for the stimulation of their primary receptors, the hair cells: stimuli induce shear between hair cell ...

“I did not believe that it was possible to study the Brownian motion with such a precision.” From a letter from Albert Einstein to Jean Perrin (1909). On 30 April 1905, Einstein completed his doctoral ...