Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow

Andrew Burbanks; Dirk Hennig; Colm Mulhern; Andrew Osbaldestin

doi:10.1016/j.physleta.2012.05.051

Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow

Andrew Burbanks, Dirk Hennig, Colm Mulhern, Andrew Osbaldestin

School of Mathematics & Physics

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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 language	English
Pages (from-to)	2283-2287
Number of pages	5
Journal	Physics Letters A
Volume	376
Issue number	34
DOIs	https://doi.org/10.1016/j.physleta.2012.05.051
Publication status	Published - 12 Jul 2012

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title = "Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow",

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.",

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AU - Hennig, Dirk

AU - Mulhern, Colm

AU - Osbaldestin, Andrew

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Y1 - 2012/7/12

N2 - 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.

AB - 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.

U2 - 10.1016/j.physleta.2012.05.051

DO - 10.1016/j.physleta.2012.05.051

M3 - Article

SN - 0375-9601

VL - 376

SP - 2283

EP - 2287

JO - Physics Letters A

JF - Physics Letters A

IS - 34

ER -

Explicit construction of an autonomous Hamiltonian system exhibiting continual directed flow

Abstract

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