Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow

  • Burbanks A
  • Hennig D
  • Mulhern C
 et al. 
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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. © 2012 Elsevier B.V. All rights reserved.

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Authors

  • A. D. Burbanks

  • D. Hennig

  • C. Mulhern

  • A. H. Osbaldestin

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