A Zoo of Slow Dynamics
It is quite intuitive that disorder causes things to slow down, but we will see
that different kinds of disorder exhibit different characteristics.
We start by discussing the most general definition of slow dynamics, namely
subdiffusion, where the mean squared displacement grows sublinearly with
time. In this context one analyzes the dynamics of an individual object slowed
down by its surrounding (static) environment. Different physical realities may
lead to subdiffusive behavior. The objective will be to determine
the relevant underlying physical reality from experimental data of singe
trajectories. To this end we present a set of tools, focusing on a test for
discerning between ergodic models. We will also consider the case of
Next we discuss glasses, physical systems exhibiting collective slow
processes, which are due to the interaction with a disordered and dynamic
environment. Glassy behavior is ubiquitous and universal, exhibited also in
protein dynamics. We will specifically discuss the electron glass, presenting a
model that successfully explains memory effects demonstrated by 'two-dip'