Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.28: Poster

Thursday, March 11, 2004, 16:00–18:00, Poster D

Magnetic Billiards as Hamiltonian Ratchets — •Manamohan Prusty and Holger Schanz — Max-Planck Institut für Strömungsforschung und Institut für Nichtlineare Dynamik der Universität Göttingen, Bunsenstr. 10, 37073 Göttingen

Hamiltonian ratchets are periodic systems which show directed and ballistic transport due to the presence of a mixed regular and chaotic phase space and a mechanism breaking time-reversal symmetry. We show that certain billiard chains can be a paradigm for this type of behaviour. A magnetic field perpendicular to the billiard plane separates in a suitable geometry regularly skipping trajectories from chaotic ones. Both sets of trajectories transport ballistically in opposite directions. We show how one can apply a classical sum rule for ratchet transport to predict the chaotic transport velocity analytically and confirm the result by numerical simulations. We study also the quantized versions of the billiard ratchets and discuss their spectral properties.

[1] H. Schanz et al., Phys. Rev. Lett. 87(01)070601.