Lagrangian Acceleration Statistics in 2D and 3D Turbulence

  • Oliver KampsEmail author
  • Michael Wilczek
  • Rudolf Friedrich
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 141)


In this paper we compare Lagrangian statistical quantities in the direct energy cascade of three-dimensional turbulence and the corresponding observables for the case of the inverse energy cascade in two dimensions. We focus on the acceleration of a tracer particle along its trajectory. Interpreting the acceleration as a stochastic process we show that for both systems the Markov time scale, which is an indicator for the length of the memory of a stochastic process, is in the order of magnitude of the Lagrangian integral time scale.


Markov Process Tracer Particle Markov Property Energy Cascade Velocity Increment 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Oliver Kamps
    • 1
    Email author
  • Michael Wilczek
    • 2
  • Rudolf Friedrich
    • 2
  1. 1.Center for Nonlinear ScienceUniversity of MünsterMünsterGermany
  2. 2.Institute for Theoretical PhysicsUniversity of MünsterMünsterGermany

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