Single particle trajectory analysis in complex systems: anomalous diffusion and violation of ergodicity
KTH/Nordita/SU seminar in Theoretical Physics [before December 2013]
Wednesday 03 February 2010
to 12:00 at
Ralf Metzler (TU München)
Single particle trajectory analysis has become one of the standard
tools to probe systems on smaller scales such as biological cells.
If the particle motion follows the laws of regular Brownian motion
the long time average equals the ensemble average, and thus a measured
time series renders complete information on the systems. This is no
longer necessarily fulfilled for systems in which deviations from
the normal diffusive law \propto Kt occur. It will be shown
in this talk how systems can be analysed when ergodicity is broken
and thus the time average differens from the ensemble mean. From
comparison to experiments it will be discussed that such problems
are indeed relevant.