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 ...

If you think making a little kid sit still for a camera is hard, try it with a protein in a water droplet. Such tiny objects jitter constantly from collisions with molecules of the water around them, ...

At room temperature, micron-sized sheets of freestanding graphene are in constant motion, even in the presence of an applied bias voltage. University of Arkansas researchers collecting the ...

Researchers have discovered that common chemical reactions accelerate Brownian diffusion by sending long-range ripples into the surrounding solvent. Steve Granick, Director of the IBS Center for Soft ...

The instantaneous velocity of a Brownian particle has been measured for the first time, a result Einstein believed would be impossible. By trapping a micron-sized silica bead in air in an optical ...

The classical inverse first passage time problem asks whether, for a Brownian motion (Bt)t≥0 and a positive random variable ξ, there exists a barrier b : ℝ₊ → ℝ such that ℙ{Bs > b(s), 0 ≤ s ≤ t} = ℙ{ξ ...

The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis is on importance and interest; formal novelty and ...

What is the Stokes-Einstein Equation? The Stokes-Einstein equation is a fundamental relation in physics that describes the diffusion of spherical particles through a fluid with low Reynolds number. It ...