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@INPROCEEDINGS{Dhont:911355,
      author       = {Dhont, Jan K. G. and Briels, Willem and Park, Gunwoo},
      title        = {{M}otility-{I}nduced {I}nter-{P}article {C}orrelations and
                      {D}ynamics:a {M}icroscopic {A}pproach for {A}ctive
                      {B}rownian {P}articles},
      reportid     = {FZJ-2022-04647},
      year         = {2022},
      abstract     = {Amongst the various theoretical approaches towards dynamics
                      and phase behaviour of suspensions of active Brownian
                      particles (ABPs), no attempt has been made to specify
                      motility-induced inter-particle correlations. In this
                      presentation, the derivation of explicit expressions for the
                      pair-correlation function for ABPs for small and large
                      swimming velocities and low concentrations is discussed. The
                      pair-correlation function is the solution of a differential
                      equation that is obtained from the Fokker-Planck equation
                      for the probability density function of the positions and
                      orientations of the ABPs, commonly referred to as the
                      Smoluchowski equation. For large swimming Peclet numbers
                      , the pair-correlation function is highly asymmetric. The
                      pair-correlation function attains a large value  
                      within a small region of spatial extent  1/ near
                      contact of the ABPs when the ABPs approach each other. The
                      pair-correlation function is small within a large region of
                      spatial extent  1/3 when the ABPs move apart, with a
                      contact value that is close to zero. From the explicit
                      expressions for the pair-correlation function, Fick's
                      diffusion equation is generalized to include motility. It is
                      shown that mass transport, in case of large swimming
                      velocities, is dominated by a preferred swimming direction
                      that is induced by concentration gradients.},
      month         = {Oct},
      date          = {2022-10-18},
      organization  = {70th Anniversary and 2022 Fall
                       Meeting, BEXCO Convention Hall, Busan,
                       South Korea, Online (South Korea), 18
                       Oct 2022 - 21 Oct 2022},
      subtyp        = {Plenary/Keynote},
      cin          = {IBI-4},
      cid          = {I:(DE-Juel1)IBI-4-20200312},
      pnm          = {5241 - Molecular Information Processing in Cellular Systems
                      (POF4-524)},
      pid          = {G:(DE-HGF)POF4-5241},
      typ          = {PUB:(DE-HGF)6},
      url          = {https://juser.fz-juelich.de/record/911355},
}