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Pattern Formation, External Fields and Fluctuations

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The Global Geometry of Turbulence

Part of the book series: NATO ASI Series ((NSSB,volume 268))

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Abstract

Since the nucleation of spatio-temporal patterns in nonequilibrium systems is usually associated with continuous symmetry breakings, their selection and stability properties may be strongly affected by fluctuations or small external fields. These effects are discussed in the framework of amplitude equations of the Ginzburg-Landau type. In particular, it is shown that the presence of fluctuations modify qualitatively the bifurcation diagram and suppress any true long range order in low dimensional systems.

Senior Research Associate, National Fund for Scientific Research (Belgium)

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Author information

Authors and Affiliations

  1. Service de Chimie-Physique, Université Libre de Bruxelles, B-1050, Brussels, Belgium

    D. Walgraeft (Senior Research Associate)

  2. National Fund for Scientific Research, Belgium

    D. Walgraeft (Senior Research Associate)

Authors
  1. D. Walgraeft
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Editor information

Editors and Affiliations

  1. School of Aeronautics, Universidad Politécnica, Madrid, Spain

    Javier Jiménez

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© 1991 Springer Science+Business Media New York

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Walgraeft, D. (1991). Pattern Formation, External Fields and Fluctuations. In: Jiménez, J. (eds) The Global Geometry of Turbulence. NATO ASI Series, vol 268. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3750-2_29

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  • DOI: https://doi.org/10.1007/978-1-4615-3750-2_29

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6670-6

  • Online ISBN: 978-1-4615-3750-2

  • eBook Packages: Springer Book Archive

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