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Statistical approach of the modulational instability of the discrete self-trapping equation

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  • A. Visinescu

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  • D. Grecu
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    Abstract

    The discrete self-trapping equation (DST) represents an useful model for several properties of one-dimensional nonlinear molecular crystals. The modulational instability of DST equation is discussed from a statistical point of view, considering the oscillator amplitude as a random variable. A kinetic equation for the two-point correlation function is written down, and its linear stability is studied. Both a Gaussian and a Lorentzian form for the initial unperturbed wave spectrum are discussed. Comparison with the continuum limit (NLS equation) is carried out. Copyright Springer-Verlag Berlin/Heidelberg 2003

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    File URL: http://hdl.handle.net/10.1140/epjb/e2003-00215-3
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    Bibliographic Info

    Article provided by Springer in its journal The European Physical Journal B - Condensed Matter and Complex Systems.

    Volume (Year): 34 (2003)
    Issue (Month): 2 (July)
    Pages: 225-229

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    Handle: RePEc:spr:eurphb:v:34:y:2003:i:2:p:225-229

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