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Spatial and Temporal Patterns Formed by Systems Far from Equilibrium

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Non-Equilibrium Dynamics in Chemical Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 27))

Abstract

Over the past years enormous progress has been made in chemistry in the experimental and theoretical study of temporal and spatio-temporal patterns formed in systems far from thermal equilibrium. In this paper I discuss why quite different systems can show similar behavior and how this behavior can be adequately described by evolution equations or by discrete maps. Examples for the formation of spatial patterns in fluids and flames are provided. The problem of chaos and routes to it, including that via quasi-periodicity, are discussed in the framework described above. Particular attention is paid to the relation between discrete maps and description via trajectories in a phase space.

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Author information

Authors and Affiliations

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

    H. Haken

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  1. H. Haken
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Editor information

Editors and Affiliations

  1. Centre de Recherche Paul Pascal, Domaine Universitaire, F-33405, Talence Cédex, France

    Christian Vidal  & Adolphe Pacault  & 

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Haken, H. (1984). Spatial and Temporal Patterns Formed by Systems Far from Equilibrium. In: Vidal, C., Pacault, A. (eds) Non-Equilibrium Dynamics in Chemical Systems. Springer Series in Synergetics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70196-2_2

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  • DOI: https://doi.org/10.1007/978-3-642-70196-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70198-6

  • Online ISBN: 978-3-642-70196-2

  • eBook Packages: Springer Book Archive

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