Some new perspectives on quasi-static convection formalism

Details Some new perspectives on quasi-static convection formalism Some new perspectives on quasi-static convection formalism

Apr 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jgr...101.7891l&link_type=abstract

Journal of Geophysical Research, Volume 101, Issue A4, p. 7891-7902

Physics

Plasma Physics

Magnetospheric Physics: Magnetospheric Configuration And Dynamics, Magnetospheric Physics: Plasma Convection, Magnetospheric Physics: Solar Wind/Magnetosphere Interactions, Space Plasma Physics: Kinetic And Mhd Theory

Scientific paper

Magnetospheric convection occurs in response to a combination of factors. It is driven by the solar wind-magnetosphere interaction, causes Joule heating in the ionosphere, and energizes particles as they convect earthward. While the equation governing magnetospheric convection under the quasi-static condition is well known, there is a lack of a formal proof that the energy processes named above are properly balanced in the convection formalism. In particular, the question has not been answered concerning the conservation of energy in a steady state convection. In this paper, I prove that energy conservation holds for steady state convection of an isotropic plasma. The consideration of energetics also sheds light on the nature of and relationship between region 1 and region 2 currents. It is further proven that the quasistatic convection formalism is conformal invariant, a property which can be exploited to develop more efficient algorithms for modeling magnetospheric convection. Several examples are presented to illustrate the conformal transformation method.

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