Prof. Michael Lomholt (University of Southern Denmark)
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.