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@ARTICLE{Dhont:891971,
      author       = {Dhont, Jan K. G. and Briels, Willem and Park, Gun Woo},
      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},
      journal      = {Soft matter},
      volume       = {17},
      issn         = {1744-6848},
      address      = {London},
      publisher    = {Royal Soc. of Chemistry},
      reportid     = {FZJ-2021-01848},
      pages        = {5613-5632},
      year         = {2021},
      abstract     = {Amongst the 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 as quantified by the
                      pair-correlation function. Here we derive expressions for
                      the pair-correlation function for ABPs with very
                      short-ranged direct interactions for small and large
                      swimming velocities and low concentrations. 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. For large swimming Peclet numbers
                      lambda, the pair-correlation function is highly asymmetric.
                      The pair-correlation function attains a large value ~lambda
                      within a small region of spatial extent ~1/lambda near
                      contact of the ABPs when the ABPs approach each other. The
                      pair-correlation function is small within a large region of
                      spatial extent $~lambda^1/3$ when the ABPs move apart, with
                      a contact value that is essentially 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. The expression
                      for the pair-correlation function derived in this paper
                      could serve as a starting point to obtain approximate
                      results for high concentrations, which could then be
                      employed in a first-principle analysis of the dynamics and
                      phase behaviour of ABPs at higher concentrations.},
      cin          = {IBI-4},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IBI-4-20200312},
      pnm          = {524 - Molecular and Cellular Information Processing
                      (POF4-524)},
      pid          = {G:(DE-HGF)POF4-524},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {33998621},
      UT           = {WOS:000651129400001},
      doi          = {10.1039/D1SM00426C},
      url          = {https://juser.fz-juelich.de/record/891971},
}