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@ARTICLE{Popkov:825339,
      author       = {Popkov, V. and Schadschneider, A. and Schmidt, J. and
                      Schütz, G. M.},
      title        = {{E}xact scaling solution of the mode coupling equations for
                      non-linear fluctuating hydrodynamics in one dimension},
      journal      = {Journal of statistical mechanics: theory and experiment},
      volume       = {2016},
      number       = {9},
      issn         = {1742-5468},
      address      = {Bristol},
      publisher    = {IOP Publ.},
      reportid     = {FZJ-2016-07802},
      pages        = {093211},
      year         = {2016},
      abstract     = {We obtain the exact solution of the one-loop mode-coupling
                      equations for the dynamical structure function in the
                      framework of non-linear fluctuating hydrodynamics in one
                      space dimension for the strictly hyperbolic case where all
                      characteristic velocities are different. All solutions are
                      characterized by dynamical exponents which are Kepler ratios
                      of consecutive Fibonacci numbers, which includes the golden
                      mean as a limiting case. The scaling form of all higher
                      Fibonacci modes are asymmetric Lévy-distributions. Thus a
                      hierarchy of new dynamical universality classes is
                      established. We also compute the precise numerical value of
                      the Prähofer–Spohn scaling constant to which scaling
                      functions obtained from mode coupling theory are sensitive.},
      cin          = {ICS-2},
      ddc          = {530},
      cid          = {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:000385688700001},
      doi          = {10.1088/1742-5468/2016/09/093211},
      url          = {https://juser.fz-juelich.de/record/825339},
}