The seemingly random movement of Brownian motion just got a little more classical. Scientists have been able to image the ultrafast motions of a trapped particle, revealing the underlining ...

Lausanne, Switzerland-- An international group of researchers from the EPFL (Ecole Polytechnique Fédérale de Lausanne), the University of Texas at Austin and the European Molecular Biology Laboratory ...

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 object of this paper is to provide an elementary treatment (involving no differential geometry) of Brownian motions of ellipsoids, and, in particular, of some remarkable results first obtained by ...

We derive an upper bound for the disconnection exponent γ of two-dimensional Brownian motion. More precisely, we show that $\gamma \leq {\textstyle\frac{1}{2}}-({\rm log}\,2)^{2}/(2\pi ...

“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 ...