Distributions exhibiting fat tails occur frequently in many different areas of science. A dynamical reason for fat tails can be a so-called superstatistics, where one has a superposition of local Gaussians whose variance fluctuates on a rather large spatio-temporal scale. After briefly reviewing...

The Brownian diffusion of a particle in a periodic potential when the temperature of the thermal bath fluctuates is studied. The combination of a broken spatial symmetry in potential and time correlations in a fluctuation of temperature can generate directional current. The current can be used...