Collective Dynamics of Interacting Particles in Unsteady Flows

  title={Collective Dynamics of Interacting Particles in Unsteady Flows},
  author={Maryam Abedi and Mir Abbas Jalali},
  journal={SIAM J. Appl. Dyn. Syst.},
We use the Fokker--Planck equation and its moment equations to study the collective behavior of interacting particles in unsteady one-dimensional flows. Particles interact according to a long-range attractive and a short-range repulsive potential field known as Morse potential. We assume Stokesian drag force between particles and their carrier fluid and find analytic single-peaked traveling solutions for the spatial density of particles in the catastrophic phase. In steady flow conditions the… 

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