Friday, April 4, 2008

[AD 3] Kurtosis in the "Noise+PL_Cvv" model

When the phases of the velocity oscillations phi_k=arg(v(om_k)) are drawn independently from an equal distribution between 0 and 2 pi, the average kurtosis of the step width distributions seems to be zero (at least for small lag times, where the statistics is more reliable).

When the phase distribution is limited to a smaller intervall like [-0.8pi, +0.8pi], the kurtosis quickly raises to a high positive value at small lag times. From there it decays to slightly negative values at high lag times. This resembles the experimental data.

In conclusion, the full ensemble of trajectoties of the "Noise+PL_Cvv" model containes also a sub-ensemble which is fully compatible with the experimental data.

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