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A Fresh View on Fermi Acceleration in Driven Two-Dimensional Billiards

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Complex Phenomena in Nanoscale Systems

Abstract

We briefly describe the state-of-the-art concerning Fermi acceleration in twodimensional driven billiards by reviewing the corresponding literature with a focus on our recent work on the time-dependent ellipse and some new results on the breathing mode of a certain oval billiard. In a way, these two systems represent the “missing links” in the studies of two-dimensional driven billiards and help to clarify the conditions under which Fermi acceleration will arise.

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Correspondence to F. Lenz .

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Lenz, F., Petri, C., Koch, F.N.R., Schmelcher, P. (2009). A Fresh View on Fermi Acceleration in Driven Two-Dimensional Billiards. In: Casati, G., Matrasulov, D. (eds) Complex Phenomena in Nanoscale Systems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3120-4_19

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