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Coherent Structures and Transport

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Chaotic Flows

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 10))

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Abstract

Until now we have discussed aspects of transport in chaotic flows ignoring, on most occasions, the existence of coherent structures. However, the crucial issue of the modern theory of anomalous transport is related to the formation of complex structures in turbulent flows. Here, we are concerned with simplified models of complex structures that are present in hydrodynamic system, magnetized plasma, etc. In this context, a coherent structure is, for instance, a vortex system that persists for a long time. Environmental and plasma-physical examples of complex vortex structures include Gulf Stream rings, the Great Red Spot on Jupiter, and convective cells systems in high temperature tokamak plasma (see Fig. 18.1.1). Thus, in the framework of the geophysical fluid dynamics the analysis of complex structures evolution could provide insight into the processes involved in the transformation from a line of convective cells to an organized mesoscale system.

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Correspondence to Oleg G. Bakunin .

Further Reading

Further Reading

1.1 Vortex Structures and Transport

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  • H.K. Moffatt, Rep. Prog. Phys. 621, 3 (1983)

1.2 Two-Dimensional Turbulence and Complex Structures

  • D. Biskamp, Magnetohydrodynamic Turbulence (Cambridge University Press, Cambridge, 2004)

  • R.H. Kraichnan, D. Montgomery, Rep. Prog. Phys. 43, 547 (1980)

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  • A. Mikhailov, Introduction to Synergetics, Part 2 (Springer, Berlin, 1995)

  • L.M. Pismen, Patterns and Interfaces in Dissipative Dynamics (Springer, Berlin, 2006)

1.3 Percolation and Anomalous Diffusion

  • O.G. Bakunin, Rep. Prog. Phys. 67, 965 (2004)

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1.4 Coherent Structures in Turbulent Plasma

  • A. Dinklage, T. Klinger, G. Marx, L. Schweikhard, Plasma Physics, Confinement, Transport and Collective Effects (Springer, Berlin, 2005)

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Bakunin, O.G. (2011). Coherent Structures and Transport. In: Chaotic Flows. Springer Series in Synergetics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20350-3_18

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  • DOI: https://doi.org/10.1007/978-3-642-20350-3_18

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