Dresden 2003 – scientific programme

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DY: Dynamik und Statistische Physik

DY 24: Nonlinear stochastic systems

DY 24.9: Talk

Tuesday, March 25, 2003, 16:45–17:00, G\"OR/226

Elimination of fast chaotic degrees of freedom — •Anja Riegert¹, Katrin Gelfert¹, Nilüfer Baba¹, Holger Kantz¹, and Wolfram Just² — ¹Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden — ²Institut für Physik, TU Chemnitz, 09107 Chemnitz

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.