Tunable Lyapunov exponent in inverse magnetic billiards

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dc.creatorVörös, Zoltán
dc.creatorTasnádi, Tamás
dc.creatorCserti, József
dc.creatorPollner, Péter
dc.date2002-08-26
dc.date.accessioned2026-07-07T06:34:05Z
dc.date.available2026-07-07T06:34:05Z
dc.descriptionThe stability properties of the classical trajectories of charged particles are investigated in a two dimensional stadium-shaped inverse magnetic domain, where the magnetic field is zero inside the stadium domain and constant outside. In the case of infinite magnetic field the dynamics of the system is the same as in the Bunimovich billiard, i.e., ergodic and mixing. However, for weaker magnetic fields the phase space becomes mixed and the chaotic part gradually shrinks. The numerical measurements of the Lyapunov exponent (performed with a novel method) and the integrable/chaotic phase space volume ratio show that both quantities can be smoothly tuned by varying the external magnetic field. A possible experimental realization of the arrangement is also discussed.
dc.description4 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0208491
dc.identifierhttp://arxiv.org/abs/cond-mat/0208491
dc.identifierPhysical Review E 67, 065202(R) (2003)
dc.identifierdoi:10.1103/PhysRevE.67.065202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99411
dc.subjectMesoscale and Nanoscale Physics
dc.titleTunable Lyapunov exponent in inverse magnetic billiards
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