Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-12-27
Nonlinear Sciences
Chaotic Dynamics
6 pages, 4 figures, improved version
Scientific paper
We consider the prototypical "piston pump" operating on a ring, where a circulating current is induced by means of an AC driving. This can be regarded as a generalized Fermi-Ulam model, incorporating a finite-height moving wall (piston) and non trivial topology (ring). The amount of particles transported per cycle is determined by a layered structure of phase-space. Each layer is characterized by a different drift velocity. We discuss the differences compared with the adiabatic and Boltzmann pictures, and highlight the significance of the "diabatic" contribution that might lead to a counter-stirring effect.
Chuchem Maya
Cohen Doron
Dittrich Thomas
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