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- W2801692550 abstract "Classical transport in a doubly connected polygonal billiard, i.e. the annulus square billiard, is considered. Dynamical properties of the billiard flow with a fixed initial direction are analyzed by means of the moments of arbitrary order of the number of revolutions around the inner square, accumulated by the particles during the evolution. An anomalous diffusion is found: the moment of order q exhibits an algebraic growth in time with an exponent different from q/2, like in the normal case. Transport features are related to spectral properties of the system, which are reconstructed by Fourier transforming time correlation functions. An analytic estimate for the growth exponent of integer order moments is derived as a function of the scaling index at zero frequency of the spectral measure, associated to the angle spanned by the particles. The n-th order moment is expressed in terms of a multiple-time correlation function, depending on n-1 time intervals, which is shown to be linked to higher order density spectra (polyspectra), by a generalization of the Wiener-Khincin Theorem. Analytic results are confirmed by numerical simulations." @default.
- W2801692550 created "2018-05-17" @default.
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- W2801692550 date "2010-09-06" @default.
- W2801692550 modified "2023-09-27" @default.
- W2801692550 title "Transport properties and singular spectrum in the annulus square billiard" @default.
- W2801692550 hasPublicationYear "2010" @default.
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