Spreading Fundamentals

  • Armin Bunde
  • Christian Chmelik
  • Jörg KärgerEmail author
  • Gero Vogl


We start with an introduction into the fundamentals of the mathematical treatment of diffusion phenomena and, thus, into the fundamentals of diffusive spreading. The mathematical formalism is kept within the common frame known from school and shown to nicely cover a larger variety of spreading phenomena, irrespective of this simplicity. It is true, however, that spreading phenomena in nature, technology and society may occur under quite complex conditions so that—correspondingly—also more complex methods of analysis are required. The chapter does as well introduce into these approaches—and into those book chapters where these approaches are followed in more detail.


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Armin Bunde
    • 1
  • Christian Chmelik
    • 2
  • Jörg Kärger
    • 2
    Email author
  • Gero Vogl
    • 3
  1. 1.Institute of Theoretical Physics, Justus Liebig University GiessenGiessenGermany
  2. 2.Faculty of Physics and Earth SciencesLeipzig UniversityLeipzigGermany
  3. 3.Faculty of PhysicsUniversity of ViennaViennaAustria

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