Abstract
Transport properties of passive particles evolving in two dimensional flows are investigated. Flows governed by point vortices and by the Charney-Hasegawa-Mima equation are considered. Transport is found to be anomalous with a non linear evolution of the second moments with time and for all considered cases the characteristic exponent is found to be close to 1.75. The origin of this behavior is traced back to the existence of chaotic jets in these systems.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
V. Afraimovich and G. M. Zaslavsky, Space-Time Complexity in Hamiltonian Dynamics, Chaos 13, 519 (2003)
S. V. Annibaldi, G. Manfredi, R. O. Dendy, Non-Gaussian transport in strong plasma turbulence, Phys. Plasmas, 9, 791 (2002)
H. Aref, Motion of three vortices, Phys. Fluids 22, 393 (1979)
H. Aref and N. Pomphrey, Integrable and chaotic motions of four vortices: I. the case of identical vortices, Proc. R. Soc. Lond. A 380, 359 (1982)
G. F. Carnevale, J. C. McWilliams, Y. Pomeau, J. B. Weiss and W. R. Young, Evolution of Vortex Statistics in Two-Dimensional Turbulence, Phys. Rev. Lett. 66, 2735 (1991)
P. Castiglione, A. Mazzino, P. Mutatore-Ginanneschi, A. Vulpiani, On Strong anomalous di usion, Physica D, 134, 75 (1999)
O. U. Velasco Fuentes, G. J. F. van Heijst, N. P. M. van Lipzig, Unsteady behaviour of a topography-modulated tripole, J. Fluid Mech. 307, 11 (1996)
L. Kuznetsov and G.M. Zaslavsky, Regular and Chaotic advection in the flow field of a three-vortex system, Phys. Rev E 58, 7330 (1998)
L. Kuznetsov and G. M. Zaslavsky, Passive particle transport in three-vortex flow, Phys. Rev. E. 61, 3777 (2000)
A. Laforgia, X. Leoncini, L. Kuznetsov and G. M. Zaslavsky, Passive tracer dynamics in 4 point-vortex-flow, Eur. Phys. J. B, 20, 427 (2001)
H. Lamb, Hydrodynamics, (6th ed. New York, Dover, 1945)
X. Leoncini, L. Kuznetsov and G. M. Zaslavsky, Motion of Three Vortices near Collapse, Phys. Fluids 12, 1911 (2000)
X. Leoncini, L. Kuznetsov and G. M. Zaslavsky, Chaotic advection near 3-vortex Collapse, Phys. Rev.E, 63, 036224 (2001)
X. Leoncini and G. M. Zaslavsky, Jets, Stickiness, and anomalous transport, Phys. Rev.E, 65, 046216 (2002)
E. A. Novikov, Dynamics and statistics of a system of vortices, Sov. Phys. JETP 41, 937 (1975)
J. L. Synge, On the motion of three vortices, Can. J. Math. 1, 257 (1949)
P. Tabeling, A.E. Hansen, J. Paret, Forced and Decaying 2D turbulence: Experimental Study, in “Chaos, Kinetics and Nonlinear Dynamics in Fluids and Plasma”, eds. Sadruddin Benkadda and George Zaslavsky, p. 145, (Springer 1998)
J. Tavantzis and L. Ting, The dynamics of three vortices revisited, Phys. Fluids 31, 1392 (1988)
N. J. Zabusky, J. C. McWilliams, A modulated point-vortex model for geostrophic, β-plane dynamics, Phys. Fluids 25, 2175 (1982)
G. M. Zaslavsky, Chaos, Fractional Kinetics, and Anomalous Transport, Phys. Rep., 371, 641 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Kluwer Academic Publishers
About this paper
Cite this paper
Leoncini, X., Agullo, O., Benkadda, S., Zaslavsky, G.M. (2005). Anomalous Transport in Two-Dimensional Plasma Turbulence. In: Collet, P., Courbage, M., Métens, S., Neishtadt, A., Zaslavsky, G. (eds) Chaotic Dynamics and Transport in Classical and Quantum Systems. NATO Science Series, vol 182. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2947-0_13
Download citation
DOI: https://doi.org/10.1007/1-4020-2947-0_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2945-5
Online ISBN: 978-1-4020-2947-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)