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 ...

Figure 1: Schematic characteristic timescales of Brownian motion in different regimes. Figure 2: Schematic of the experimental set-up and upconversion luminescence measurements of the NaYF ...

We studied the Brownian motion of isolated ellipsoidal particles in water confined to two dimensions and elucidated the effects of coupling between rotational and translational motion. By using ...

Researchers have for the first time experimentally shown, almost a century later, an idea dating from 1912. In that year the physicist Smoluchowski devised a prototype for an engine at the molecular ...

Classical Brownian motion theory was established over one hundred year ago, describing the stochastic collision behaviors between surrounding molecules. Recently, researchers from Technical Institute ...

The answer to this question puts a spotlight on two revolutionary 19th-century scientists. In 1828, the Scottish botanist Robert Brown published his observation that tiny particles in suspension were ...

The Annals of Probability, Vol. 17, No. 4 (Oct., 1989), pp. 1651-1657 (7 pages) We show that for bounded domains $A \subseteq \mathbb{R}^N$ with 0∈ A, if the exit ...

When astronomers study the rotation of distant galaxies, they immediately come up against a puzzle. The stars are held together by gravity, which prevents them being slung into intergalactic space as ...