Synergetics Applied to Pattern Formation in Large-Aspect-Ratio Systems

  • M. Bestehorn
  • H. Haken
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 48)


Several systems far from thermal equilibrium are discussed with respect to their ability to form spatial and temporal patterns. Their unifying character is the existence of well-defined critical points, bifurcations and phase transitions. Applying the methods of synergetics to these systems we derive concise order-parameter equations which describe the qualitative and the quantitative behaviour in the vicinity of a phase transition. Numerical solutions of the order-parameter equations of reaction-diffusion systems as well as of the convection instability for pure and binary fluids are presented.


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Copyright information

© Springer-Verlag Berlin, Heidelberg 1990

Authors and Affiliations

  • M. Bestehorn
    • 1
  • H. Haken
    • 1
  1. 1.Institut für Theoretische Physik und SynergetikUniversität StuttgartStuttgart 80Fed. Rep. of Germany

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