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Directed anomalous diffusion without a biased field: A ratchet accelerator

Jiangbin Gong·Paul Brumer
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Abstract

Directed classical current that increases linearly with time without using a biased external field is obtained in a simple model Hamiltonian system derived from a modified kicked rotor model, by breaking the spatial symmetry of the transporting regular islands in the classical phase space. A parallel study of the corresponding quantum dynamics suggests that although quantum coherence effects suppress the directed current and can even induce a current reversal, directed quantum current that increases linearly with time can nonetheless be realized in a quantum system that is far from the classical limit.

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Jiangbin Gong, Paul Brumer. 2004-05-12. Directed anomalous diffusion without a biased field: A ratchet accelerator. https://doi.org/10.1103/physreve.70.016202

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