Abstract
We apply standard projection operator techniques known from nonequilibrium statistical mechanics to eliminate fast chaotic degrees of freedom in a low-dimensional dynamical system. Through the usual perturbative approach we end up in second order with a stochastic system where the fast chaotic degrees of freedom are modelled by Gaussian white noise. The accuracy of the perturbation expansion is analysed in detail by the discussion of an exactly solvable model.
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Just, W., Gelfert, K., Baba, N. et al. Elimination of Fast Chaotic Degrees of Freedom: On the Accuracy of the Born Approximation. Journal of Statistical Physics 112, 277–292 (2003). https://doi.org/10.1023/A:1023635805818
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DOI: https://doi.org/10.1023/A:1023635805818