"What is the equation of motion of a Brownian particle?"
PHYSICS DEPARTMENT COLLOQUIUM
What is the equation of motion of a Brownian particle? Jan Wehr
The University of Arizona, Tucson, AZ, USA
I will outline an experiment, studying movement of colloidal particles in water. Starting from the Newton's law, I will build a differential equation describing the Brownian motion of such a particle. This equation contains a noise term, accounting for the collisions of the particle with the water molecules. Its careful analysis when the particle's mass is small, reveals a presence of an unexpected noise-induced drift, in an excellent agreement with the experiment. I will comment on related effects, occuring in a wide class of systems, including equations describing a recent noisy electrical circuit experiment. The talk will assume only familiarity with elementary physics and calculus.
March 12, 2014 (Wednesday)