Superdiffusion in 2D open-horizon billiards with stochastically oscillating boundaries
Physics Faculty, Moscow State University - 119899 Moscow, Russia
2 Institute of Physics, Humboldt University - Newtonstrasse 15, D-12489 Berlin, Germany, EU
Accepted: 2 March 2012
It is shown that Fermi acceleration, which is inherent to time-dependent open-horizon two-dimensional billiards, leads to anomalous transport properties. The stochastic oscillations of the scatterers result in superdiffusion of particles with the mean squared displacement growing asymptotically quadratically in time: ⟨q2⟩∼t2.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.20.Dd – Kinetic theory / 05.60.Cd – Classical transport
© EPLA, 2012