Lyapunov exponents for hydromagnetic convection

Details Lyapunov exponents for hydromagnetic convection Lyapunov exponents for hydromagnetic convection

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrva..44.3427k&link_type=abstract

Physical Review A (ISSN 1050-2947), vol. 44, Sept. 15, 1991, p. R3427-R3429.

Nonlinear Sciences

Chaotic Dynamics

13

Convective Flow, Liapunov Functions, Plasma Turbulence, Solar Magnetic Field, Solar Wind, Three Dimensional Models, Computerized Simulation, Dynamo Theory, Fluid Flow, Spatial Distribution

Scientific paper

The two largest Liapunov exponents are estimated in a three-dimensional simulation of hydromagnetic convection in which there is dynamo action. It turns out that these first two exponents are positive and of similar magnitude. Thus it is concluded that the dynamo is chaotic. Furthermore, the consideration of local exponents helps in the understanding of the relevant dynamics. It is found that the downdraft flows are more chaotic than the upward motions. Likewise, the velocity and magnetic fields have more chaotic dynamics than the temperature and density fields.

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