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    Universal scaling of Lyapunov-exponent fluctuations in space-time chaos

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    Identificadores
    URI: http://hdl.handle.net/10902/4370
    DOI: 10.1103/PhysRevE.87.062909
    ISSN: 1539-3755
    ISSN: 1550-2376
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    Author
    Pazó Bueno, Diego SantiagoAutoridad Unican; López Martín, Juan Manuel; Politi, Antonio
    Date
    2013-06
    Derechos
    ©2013 American Physical Society
    Publicado en
    Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 87, iss. 6, art. num. 062909 (2013)
    Publisher
    American Physical Society
    Enlace a la publicación
    http://dx.doi.org/10.1103/PhysRevE.87.062909
    Abstract:
    Finite-time Lyapunov exponents of generic chaotic dynamical systems fluctuate in time. These fluctuations are due to the different degree of stability across the accessible phase space. A recent numerical study of spatially extended systems has revealed that the diffusion coefficient D of the Lyapunov exponents (LEs) exhibits a nontrivial scaling behavior, D(L) ∼ L −γ , with the system size L. Here, we show that the wandering exponent γ can be expressed in terms of the roughening exponents associated with the corresponding “Lyapunov surface.” Our theoretical predictions are supported by the numerical analysis of several spatially extended systems. In particular, we find that the wandering exponent of the first LE is universal: in view of the known relationship with the Kardar-Parisi-Zhang equation, γ can be expressed in terms of known critical exponents. Furthermore, our simulations reveal that the bulk of the spectrum exhibits a clearly different behavior and suggest that it belongs to a possibly unique universality class, which has, however, yet to be identified.
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    UNIVERSIDAD DE CANTABRIA

    Repositorio realizado por la Biblioteca Universitaria utilizando DSpace software
    Contact Us | Send Feedback
    Metadatos sujetos a:licencia de Creative Commons Reconocimiento 3.0 España