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.
Burbanks, A. D., Hennig, D., Mulhern, C., & Osbaldestin, A. H. (2012). Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow. Physics Letters, Section A: General, Atomic and Solid State Physics, 376(34), 2283–2287. https://doi.org/10.1016/j.physleta.2012.05.051