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@ARTICLE{Grassberger:902579,
      author       = {Grassberger, Peter},
      title        = {{M}orphological transitions in supercritical generalized
                      percolation and moving interfaces in media with frozen
                      randomness},
      journal      = {Physical review research},
      volume       = {2},
      number       = {4},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2021-04378},
      pages        = {043150},
      year         = {2020},
      abstract     = {We consider the growth of clusters in disordered media at
                      zero temperature, as exemplified by supercritical
                      generalized percolation and by the T=0 random field Ising
                      model. We show that the morphology of such clusters and of
                      their surfaces can be of different types: They can be
                      standard compact clusters with rough or smooth surfaces, but
                      there exists also a completely different “spongy” phase.
                      Clusters in the spongy phase are compact as far as the
                      size-mass relation M∼RD is concerned (with D being the
                      space dimension) but have an outer surface (or “hull”)
                      whose fractal dimension is also D and which is indeed dense
                      in the interior of the entire cluster. This behavior is
                      found in all dimensions D≥3. Slightly supercritical
                      clusters can be of either type in D=3, while they are always
                      spongy in D≥4. Possible consequences for the applicability
                      of Kardar-Parisi-Zhang (KPZ) scaling to interfaces in media
                      with frozen pinning centers are studied in detail. In
                      particular, we find—in contrast to KPZ—a weak-coupling
                      phase in 2+1 dimensions.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000605400600007},
      doi          = {10.1103/PhysRevResearch.2.043150},
      url          = {https://juser.fz-juelich.de/record/902579},
}