Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow

Andrew Burbanks, Dirk Hennig, Colm Mulhern, Andrew Osbaldestin

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Abstract

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.
Original languageEnglish
Pages (from-to)2283-2287
Number of pages5
JournalPhysics Letters A
Volume376
Issue number34
DOIs
Publication statusPublished - 12 Jul 2012

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