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@ARTICLE{Suciu:7819,
      author       = {Suciu, N. and Vamos, C. and Radu, F.A. and Vereecken, H.
                      and Knabner, P.},
      title        = {{P}ersistent memory of diffusing particles},
      journal      = {Physical review / E},
      volume       = {80},
      number       = {6},
      issn         = {1539-3755},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PreJuSER-7819},
      pages        = {061134},
      year         = {2009},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {The variance of the advection-diffusion processes with
                      variable coefficients is exactly decomposed as a sum of
                      dispersion terms and memory terms consisting of correlations
                      between velocity and initial positions. For random initial
                      conditions, the memory terms quantify the departure of the
                      preasymptotic variance from the time-linear diffusive
                      behavior. For deterministic initial conditions, the memory
                      terms account for the memory of the initial positions of the
                      diffusing particles. Numerical simulations based on a global
                      random walk algorithm show that the influence of the initial
                      distribution of the cloud of particles is felt over hundreds
                      of dimensionless times. In case of diffusion in random
                      velocity fields with finite correlation range the particles
                      forget the initial positions in the long-time limit and the
                      variance is self-averaging, with clear tendency toward
                      normal diffusion.},
      keywords     = {J (WoSType)},
      cin          = {ICG-4 / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)VDB793 / $I:(DE-82)080012_20140620$},
      pnm          = {Terrestrische Umwelt},
      pid          = {G:(DE-Juel1)FUEK407},
      shelfmark    = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000273227500045},
      doi          = {10.1103/PhysRevE.80.061134},
      url          = {https://juser.fz-juelich.de/record/7819},
}