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

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Dissipative Structures in Transport Processes and Combustion

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 48))

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Abstract

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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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik und Synergetik, Universität Stuttgart, Pfaffenwaldring 57/4, D-7000, Stuttgart 80, Fed. Rep. of Germany

    M. Bestehorn & H. Haken

Authors
  1. M. Bestehorn
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  2. H. Haken
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Editor information

Editors and Affiliations

  1. Fakultät für Physik, Universität Bielefeld, Postfach 8640, D-4800, Bielefeld 1, Fed. Rep. of Germany

    Dirk Meinköhn

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Bestehorn, M., Haken, H. (1990). Synergetics Applied to Pattern Formation in Large-Aspect-Ratio Systems. In: Meinköhn, D. (eds) Dissipative Structures in Transport Processes and Combustion. Springer Series in Synergetics, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84230-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-84230-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84232-0

  • Online ISBN: 978-3-642-84230-6

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