These tools will no longer be maintained as of December 31, 2024. Archived website can be found here. PubMed4Hh GitHub repository can be found here. Contact NLM Customer Service if you have questions.


Pubmed for Handhelds

PUBMED FOR HANDHELDS

Search MEDLINE/PubMed

  • Title: Hamiltonian chaos acts like a finite energy reservoir: accuracy of the Fokker-Planck approximation.
    Author: Riegert A, Baba N, Gelfert K, Just W, Kantz H.
    Journal: Phys Rev Lett; 2005 Feb 11; 94(5):054103. PubMed ID: 15783645.
    Abstract:
    The Hamiltonian dynamics of slow variables coupled to fast degrees of freedom is modeled by an effective stochastic differential equation. Formal perturbation expansions, involving a Markov approximation, yield a Fokker-Planck equation in the slow subspace which respects conservation of energy. A detailed numerical and analytical analysis of suitable model systems demonstrates the feasibility of obtaining the system specific drift and diffusion terms and the accuracy of the stochastic approximation on all time scales. Non-Markovian and non-Gaussian features of the fast variables are negligible.
    [Abstract] [Full Text] [Related] [New Search]