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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M.B. Isichenko, Rev. Mod. Phys. 964, 961 (1992)
B.B. Kadomtsev, and O.P. Pogutse, Plasma Physics and Controlled Nuclear Fusion Research. In: Proceedings of the 7-th International Conference, IAEA Vienna, 1, 649 1978
H.K. Moffatt, J. Fluid Mech. 106, 27 (1981)
D.G. Andrews, An Introduction to Atmospheric Physics (Cambridge University Press, Cambridge, 2010)
E. Palmen, C.W. Newton, Atmospheric Circulation Systems (Academic, London, 1969)
R.S. Scorer, Environmental aerodynamics (Wiley, New Jersey, 1978)
R.A. Houze, Cloud Dynamics (Academic, London, 1993)
H.U. Roll, Physics of the Marine Atmosphere (Academic, London, 1965)
M.V. Osipenko, O.P. Pogutse, N.V. Chudin, Sov. J. Plasma Phys. 13, 550 (1987)
M.N. Rosenbluth, H.L. Berk, I. Doxoas, W. Horton, Phys. Fluids 30, 2636 (1987)
M.R. Maxey, S. Corrsin, J. Atmos. Sci. 43, 1112 (1986)
O. Cardoso, P. Tabeling, Euro. J. Mech. B/Fluids 8, 459 (1989)
O. Cardoso, P. Tabeling, Europhys. Lett. 7, 225 (1988)
M.B. Nezlin, Zg. Eksp. Teoret. Fiz. Lett. 34, 83 (1981)
S.B. Antipov, M.B. Nezlin, E.H. Snegkin, A.S. Trubnikov, Zg. Eksp. Teoret. Fiz. 89, 1905 (1985)
T.H. Solomon, E. Weeks, H.L. Swinney, Physica D 76, 70 (1994)
E.R. Weeks, J.S. Urbach, H.L. Swinney, Physica D 97, 291 (1996)
T. Solomon, J. Gollub, Phys. Rev. A 38, 6280 (1988)
T. Solomon, J. Gollub, Phys. Fluids A 31, 1372 (1988)
S. Childress, A.M. Soward, J. Fluid Mech. 205, 99 (1989)
M.B. Isichenko, YaL Kalda, E.V. Tatarinova, O.V. Telkovskaya, V.V. Yankov, Sov. Phys. J. Exp. Theor. Phys. 69, 517 (1989)
A.V. Gruzinov, M.B. Isichenko, YaL Kalda, Sov. Phys. J. Exp. Theor. Phys. 70, 263 (1990)
O.G. Bakunin, Turbulent and Diffusion, Scaling Versus Equations (Springer, Berlin, 2008)
Author information
Authors and Affiliations
Corresponding author
Further Reading
Further Reading
1.1 Vortex Structures and Transport
-
A. Crisanti, M. Falcioni, A. Vulpiani, Rivista Del Nuovo Cimento 14, 1–80 (1991)
-
G.S. Golitsyn, Selected papers (Nauka, Moscow, 2004)
-
E. Guyon, J.-P. Nadal, Y. Pomeau (eds.), Disorder and Mixing (Kluwer Academic Publishers, Dordrecht, 1988)
-
Holmes PJ, Lumley JL, Berkooz G, Mattingly JC and Wittenberg RW Phys. Rep. 337–384. (1997)
-
A. Maurel, P. Petitjeans (eds.), Vortex Structure and Dynamics Workshop (Springer, Berlin, 2000)
-
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)
-
Y. Kuramoto, Chemical Oscillations. Waves and Turbulence (Springer, Berlin, 1984)
-
P. Manneville, Instabilities, Chaos and Turbulence. An Introduction to Nonlinear Dynamics and Complex Systems (Imperial College Press, London, 2004)
-
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)
-
R. Balescu, Aspects of Anomalous Transport in Plasmas (IOP Bristol, Philadelphia, 2005)
-
R. Balescu, Statistical Dynamics (Imperial College Press, London, 1997)
-
J.-P. Bouchaund, A. Georges, Phys. Rep. 195, 127 (1990)
-
A. Bunde, S. Havlin, Fractals and Disordered Systems (Springer, Berlin, 1995)
-
A. Bunde, S. Havlin, Fractals in Science (Springer, Berlin, 1996)
-
P.H. Diamond, S.-I. Itoh, K. Itoh, Modern Plasma Physics, vol. 1 (Cambridge University Press, Cambridge, 2010)
-
M.B. Isichenko, Rev. Mod. Phys. 64, 961 (1992)
-
M. Sahimi, Rev. Mod. Phys. 65, 1393 (1993)
-
J.M. Ziman, Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems (Cambridge University Press, London, 1979)
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)
-
W. Horton, Y.-H. Ichikawa, Chaos and Structures in Nonlinear Plasmas (Word Scientific, Singapore, 1994)
-
M.B. Isichenko, Rev. Mod. Phys. 64, 961 (1992b)
-
K. Itoh et al., Transport and Structural Formation in Plasmas (IOP, London, 1999)
-
B.B. Kadomtsev, Collective Phenomena in Plasma (Nauka, Moscow, 1976)
-
B.B. Kadomtsev, Tokamak Plasma: A Complex System (IOP Publishing, Bristol, 1991)
-
A.S. Kingsep, Introduction to the Nonlinear Plasma Physics Mosk (Fiz.-Tekh. Inst, Moscow, 1996)
-
J.A. Krommes, Phys. Rep. 360, 1–352 (2002)
-
M.N. Rosenbluth, RZ Sagdeev (eds) Handbook of Plasma Physics, North-Holland, Amsterdam (1984)
-
J.A. Wesson, Tokamaks (Oxford University Press, Oxford, 1987)
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-20350-3_18
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20349-7
Online ISBN: 978-3-642-20350-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)