Speaker
Michael A. Lomholt
(University of Southern Denmark)
Description
A single-file of identical particles diffusing along a line
without being
able to overtake each other is one of the better studied
non-equilibrium
systems in physics. It has been known for almost half a
century that the
mean square displacement of a single particle in the file
will grow subdiffusively
with an exponent 1/2. In this talk I will discuss
heterogenous single files of
particles with random friction constants. It will be shown
that for distributions
of frictions with a finite average the single-file will
behave universally for
long times in the same way as the identical case. For heavy
tailed power-law
distributions of frictions it is found that no
self-averaging occurs even at
long times and the behavior thus becomes non-universal.