% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Wang:888649,
      author       = {Wang, Kai and Boussinot, Guillaume and Hüter, Claas and
                      Brener, Efim A. and Spatschek, Robert},
      title        = {{M}odeling of dendritic growth using a quantitative
                      nondiagonal phase field model},
      journal      = {Physical review materials},
      volume       = {4},
      number       = {3},
      issn         = {2475-9953},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2020-05092},
      pages        = {033802},
      year         = {2020},
      abstract     = {The phase field method has emerged as the tool of choice to
                      simulate complex pattern formation processes in various
                      domains of materials sciences. For the phase field model to
                      faithfully reproduce the dynamics of a prescribed
                      free-boundary problem with transport equations in the bulk
                      and boundary conditions at the interfaces, the so-called
                      thin-interface limit should be performed. For a phase
                      transformation driven by diffusion, the kinetic
                      cross-coupling between the phase field and the diffusion
                      field has recently been introduced, allowing a control on
                      interface boundary conditions in the general case where the
                      diffusivity in the growing phase DS neither vanishes
                      (one-sided model) nor equals the one of the disappearing
                      phase DL (symmetric model). Here, we investigate the
                      capabilities of this nondiagonal phase field model in the
                      case of two-dimensional dendritic growth. We benchmark our
                      model with Green's function calculations (sharp-interface
                      model) for the symmetric and one-sided cases, and our
                      results for arbitrary DS/DL allow us to propose a
                      generalization of the theory by Barbieri and Langer [Phys.
                      Rev. A 39, 5314 (1989)] for finite anisotropy of interface
                      energy. We also perform simulations that evidence the
                      necessity of introducing the kinetic cross-coupling and of
                      eliminating surface diffusion. Our work opens up the way for
                      quantitative phase field simulations of phase
                      transformations with diffusion in the growing phases playing
                      an important role in the pattern and velocity selections.},
      cin          = {IEK-2 / PGI-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-2-20101013 / I:(DE-Juel1)PGI-2-20110106},
      pnm          = {144 - Controlling Collective States (POF3-144)},
      pid          = {G:(DE-HGF)POF3-144},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000521131800002},
      doi          = {10.1103/PhysRevMaterials.4.033802},
      url          = {https://juser.fz-juelich.de/record/888649},
}