Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow

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• 作者：A.D. Burbanks ; ^{andrew.burbanks@port.ac.uk} ; D. Hennig ; C. Mulhern ; A.H. Osbaldestin
• 刊名：Physics Letters A
• 出版年：2012
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：9 July, 2012
• 卷：376
• 期：34
• 页码：2283-2287
• 文件大小：472 K

摘要

We construct a prototypical example of a spatially-open autonomous Hamiltonian system in which localised, but otherwise unbiased, ensembles of initial conditions break spatio-temporal symmetries in the subsequent ensemble dynamics, despite time reversal symmetry of the equations of motion. Together with transient chaos, this provides the mechanism for the occurrence of a current. Transporting trajectories pass through transient chaos and subsequently cross surfaces of no-return, after which they perform solely regular motion so that the current is of continual ballistic nature.