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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 done.
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