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@ARTICLE{Brener:201457,
      author       = {Brener, Efim and Boussinot, G.},
      title        = {{K}inetic cross coupling between nonconserved and conserved
                      fields in phase field models},
      journal      = {Physical review / E},
      volume       = {86},
      number       = {6},
      issn         = {1539-3755},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2015-03752},
      pages        = {060601},
      year         = {2012},
      abstract     = {We present a phase field model for isothermal
                      transformations of two-component alloys that includes
                      Onsager kinetic cross coupling between the nonconserved
                      phase field ϕ and the conserved concentration field C. We
                      also provide the reduction of the phase field model to the
                      corresponding macroscopic description of the free boundary
                      problem. The reduction is given in a general form.
                      Additionally we use an explicit example of a phase field
                      model and check that the reduced macroscopic description, in
                      the range of its applicability, is in excellent agreement
                      with direct phase field simulations. The relevance of the
                      newly introduced terms to solute trapping is also
                      discussed.},
      cin          = {PGI-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {421 - Frontiers of charge based Electronics (POF2-421)},
      pid          = {G:(DE-HGF)POF2-421},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000312030000001},
      doi          = {10.1103/PhysRevE.86.060601},
      url          = {https://juser.fz-juelich.de/record/201457},
}