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Memory Effects in the Advection of Inertial Particles

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The relevance of the history force – a memory effect – for the motion of inertial particles is investigated in a paradigmatic model flow of chaotic advection, the von Kármán flow. We find that the history force has an essential influence on qualitative properties of the dynamics of inertial particles. Memory leads to a weaker tendency for accumulation and caustics formation. The Lyapunov exponents become larger and attractors are much less common when the history force is taken into account.

Author(s):

Anton Daitche    
Institute for Theoretical Physics, University of Münster
Germany

Tamás Tél    
Institute for Theoretical Physics, Eötvös University, Budapest
Hungary