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@ARTICLE{Das:840603,
      author       = {Das, Shibananda and Gompper, Gerhard and Winkler, Roland G},
      title        = {{C}onfined active {B}rownian particles: theoretical
                      description of propulsion-induced accumulation},
      journal      = {New journal of physics},
      volume       = {20},
      issn         = {1367-2630},
      address      = {[Bad Honnef]},
      publisher    = {Dt. Physikalische Ges.},
      reportid     = {FZJ-2017-08108},
      pages        = {015001},
      year         = {2018},
      abstract     = {The stationary-state distribution function of confined
                      active Brownian particles (ABPs) is analyzed by computer
                      simulations and analytical calculations. We consider a
                      radial harmonic as well as an anharmonic confinement
                      potential. In the simulations, the ABP is propelled with a
                      prescribed velocity along a body-fixed direction, which is
                      changing in a diffusive manner. For the analytical approach,
                      the Cartesian components of the propulsion velocity are
                      assumed to change independently; active Ornstein–Uhlenbeck
                      particle (AOUP). This results in very different velocity
                      distribution functions. The analytical solution of the
                      Fokker–Planck equation for an AOUP in a harmonic potential
                      is presented and a conditional distribution function is
                      provided for the radial particle distribution at a given
                      magnitude of the propulsion velocity. This conditional
                      probability distribution facilitates the description of the
                      coupling of the spatial coordinate and propulsion, which
                      yields activity-induced accumulation of particles. For the
                      anharmonic potential, a probability distribution function is
                      derived within the unified colored noise approximation. The
                      comparison of the simulation results with theoretical
                      predictions yields good agreement for large rotational
                      diffusion coefficients, e.g. due to tumbling, even for large
                      propulsion velocities (Péclet numbers). However, we find
                      significant deviations already for moderate Péclet number,
                      when the rotational diffusion coefficient is on the order of
                      the thermal one.},
      cin          = {IAS-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-2-20090406},
      pnm          = {553 - Physical Basis of Diseases (POF3-553)},
      pid          = {G:(DE-HGF)POF3-553},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000419378600001},
      doi          = {10.1088/1367-2630/aa9d4b},
      url          = {https://juser.fz-juelich.de/record/840603},
}