Speaker
Prof.
Michael Lomholt
(University of Southern Denmark)
Description
I will discuss the long time asymptotic behavior of a tagged
particle in systems where the particles are stuck with their
neighbors. In one dimension this corresponds to single-file
diffusion, where the mean squared displacement of a particle
grows with the square root of time. In two dimensions it
turns out that the mean square displacement grows
logarithmically, and above two dimensions the motion of the
particle is bounded. I will show how one can arrive at these
results through an approach called harmonization.