Adiabatic Plasma Equilibria With Applications to Magnetic Reconnection

Details Adiabatic Plasma Equilibria With Applications to Magnetic Reconnection Adiabatic Plasma Equilibria With Applications to Magnetic Reconnection

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007agusmsm51a..05z&link_type=abstract

American Geophysical Union, Spring Meeting 2007, abstract #SM51A-05

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7833 Mathematical And Numerical Techniques (0500, 3200), 7835 Magnetic Reconnection (2723, 7526)

Scientific paper

A novel numerical code for computing plasma equilibria with adiabatic (entropy) inputs is introduced. As opposed to prescribing the current or pressure profiles for plasma equilibrium (which leads to the conventional Grad- Shafranov elliptic partial differential equation), prescribing the entropy results in a nonstandard differential equation whose solution by usual iterative techniques is not guaranteed. To solve this equation we have developed a numerical code based on the "alternating dimensions method" (ADM) suggested by Grad et al., [1975]; the code finds adiabatic equilibria by solving iteratively the 2-D equilibrium partial differential equation and a 1-D ODE obtained from averaging it over magnetic flux surfaces. The code is applied to the "Newton Challenge" forced reconnection geometry, and the resulting equilibria with various boundary deformations are compared with snapshots from dynamic MHD simulations of the forced reconnection problem. The method has wide applications in space plasmas, and can be used to compute magnetospheric and solar corona configurations, as well as the "quasi-static" evolution of such equilibria under entropy conservation constraints.

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