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@ARTICLE{Popkov:279262,
      author       = {Popkov, Vladislav and Schadschneider, Andreas and Schmidt,
                      Johannes and Schütz, Gunter M.},
      title        = {{F}ibonacci family of dynamical universality classes},
      journal      = {Proceedings of the National Academy of Sciences of the
                      United States of America},
      volume       = {112},
      number       = {41},
      issn         = {1091-6490},
      address      = {Washington, DC},
      publisher    = {National Acad. of Sciences},
      reportid     = {FZJ-2015-07277},
      pages        = {12645 - 12650},
      year         = {2015},
      abstract     = {Universality is a well-established central concept of
                      equilibrium physics. However, in systems far away from
                      equilibrium, a deeper understanding of its underlying
                      principles is still lacking. Up to now, a few classes have
                      been identified. Besides the diffusive universality class
                      with dynamical exponent z=2, another prominent example is
                      the superdiffusive Kardar−Parisi−Zhang (KPZ) class with
                      z=3/2. It appears, e.g., in low-dimensional dynamical
                      phenomena far from thermal equilibrium that exhibit some
                      conservation law. Here we show that both classes are only
                      part of an infinite discrete family of nonequilibrium
                      universality classes. Remarkably, their dynamical exponents
                      zα are given by ratios of neighboring Fibonacci numbers,
                      starting with either z1=3/2 (if a KPZ mode exist) or z1=2
                      (if a diffusive mode is present). If neither a diffusive nor
                      a KPZ mode is present, all dynamical modes have the Golden
                      Mean z=(1+5√)/2 as dynamical exponent. The universal
                      scaling functions of these Fibonacci modes are asymmetric
                      Lévy distributions that are completely fixed by the
                      macroscopic current density relation and compressibility
                      matrix of the system and hence accessible to experimental
                      measurement.},
      cin          = {IAS-2 / ICS-2},
      ddc          = {000},
      cid          = {I:(DE-Juel1)IAS-2-20090406 / I:(DE-Juel1)ICS-2-20110106},
      pnm          = {551 - Functional Macromolecules and Complexes (POF3-551)},
      pid          = {G:(DE-HGF)POF3-551},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000363130900035},
      pubmed       = {pmid:26424449},
      doi          = {10.1073/pnas.1512261112},
      url          = {https://juser.fz-juelich.de/record/279262},
}