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Relationship Between Non-Markovian- and Drift-Fokker-Planck Equation

In: Traffic and Granular Flow’05

Author

Listed:
  • Knud Zabrocki

    (Martin-Luther-Universität Halle-Wittenberg, Fachbereich Physik)

  • Svetlana Tatur

    (Ural State University, Dept. of Physics)

  • Steffen Trimper

    (Martin-Luther-Universität Halle-Wittenberg, Fachbereich Physik)

  • Reinhard Mahnke

    (Universität Rostock, Institut für Physik)

Abstract

Summary Based on the stochastic description of transport phenomena the relationship between a non-Markovian evolution equation and the Fokker-Planck equation with drift is investigated. Memory is included by direct coupling between initial and current values of probability density. We present the result for three different initial distributions.

Suggested Citation

  • Knud Zabrocki & Svetlana Tatur & Steffen Trimper & Reinhard Mahnke, 2007. "Relationship Between Non-Markovian- and Drift-Fokker-Planck Equation," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 613-619, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-47641-2_60
    DOI: 10.1007/978-3-540-47641-2_60
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