Speaker
Thomas Franosch
(Universität Innsbruck)
Description
We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from
equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary
state. We solve for the complete transient dynamics of the fluctuations of the tracer position
along the direction of the force. The analytic result, exact in first order of the obstacle density
and for arbitrarily strong driving, is compared to stochastic simulations. Upon strong driving, the
fluctuations grow superdiffusively for intermediate times; however, they always become diffusive in
the stationary state. The diffusion constant is nonanalytic for small driving and is enhanced by
orders of magnitude by increasing the force.
Primary author
Thomas Franosch
(Universität Innsbruck)
Co-author
Sebastian Leitmann
(UIBK Innsbruck)
