|
|||||
|
|
Elimination of Fast Chaotic Degrees of Freedom: On the Accuracy of the Born Approximation |
|
| Authors: | Wolfram Just Katrin Gelfert Nilüfer Baba Anja Riegert Holger Kantz |
| Institution: | (1) Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany;(2) Department of Mathematics, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom;(3) Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, D-01187 Dresden, Germany |
| 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. |
| Keywords: | elimination of fast variables projection operator techniques Fokker– Planck equation |
| 本文献已被 SpringerLink 等数据库收录！ | |