Publication: Criticality and Strong Intermittency in the Lorentz Channel

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Title	Criticality and Strong Intermittency in the Lorentz Channel
Authors/Editors*	Karlis, A. K. and Diakonos, F. K. and Petri, C. and Schmelcher, P.
Where published*	Phys. Rev. Lett.
How published*	Journal
Year*	2012
Volume	109
Number	11
Pages	110601
Publisher	American Physical Society
Keywords
Link	http://0-link.aps.org.pugwash.lib.warwick.ac.uk/doi/10.1103/PhysRevLett.109.110601
Abstract	We demonstrate the emergence of criticality due to power-law cross correlations in an ensemble of noninteracting particles propagating in an infinite Lorentz channel. The origin of these interparticle long-range correlations is the intermittent dynamics associated with the ballistic corridors in the single particle phase space. This behavior persists dynamically, even in the presence of external driving, provided that the billiardâs horizon becomes infinite at certain times. For the driven system, we show that Fermi acceleration permits the synchronization of the particle motion with the periodic appearance of the ballistic corridors. The particle ensemble then acquires characteristics of self-organization as the weight of the phase space regions leading to critical behavior increases with time.