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Title:
Entropy conservation in simulations of magnetic reconnection
Authors:
Birn, J.; Hesse, M.; Schindler, K.
Affiliation:
AA(Los Alamos National Laboratory, Los Alamos, New Mexico 87545), AB(NASA/Goddard Space Flight Center, Greenbelt, Maryland 20771), AC(Institut für Theoretische Physik, Ruhr-Universität Bochum, 44780 Bochum, Germany)
Publication:
Physics of Plasmas, Volume 13, Issue 9, pp. 092117-092117-6 (2006). (PhPl Homepage)
Publication Date:
09/2006
Origin:
AIP
Keywords:
entropy, plasma thermodynamics, plasma magnetohydrodynamics, plasma simulation, plasma transport processes
Abstract Copyright:
(c) 2006: American Institute of Physics
DOI:
10.1063/1.2349440
Bibliographic Code:
2006PhPl...13i2117B

Abstract

Entropy and mass conservation are investigated for the dynamic field evolution associated with fast magnetic reconnection, based on the ``Newton Challenge'' problem [Birn et al., Geophys. Res. Lett. 32, L06105 (2005)]. In this problem, the formation of a thin current sheet and magnetic reconnection are initiated in a plane Harris-type current sheet by temporally limited, spatially varying, inflow of magnetic flux. Using resistive magnetohydrodynamic (MHD) and particle-in-cell (PIC) simulations, specifically the entropy and mass integrated along the magnetic flux tubes are compared between the simulations. In the MHD simulation these should be exactly conserved quantities, when slippage and Ohmic dissipation are negligible. It is shown that there is very good agreement between the conservation of these quantities in the two simulation approaches, despite the effects of dissipation, provided that the resistivity in the MHD simulation is strongly localized. This demonstrates that dissipation is highly localized in the PIC simulation also, and that heat flux across magnetic flux tubes has negligible effect as well, so that the entropy increase on a full flux tube remains small even during reconnection. The mass conservation also implies that the frozen-in flux condition of ideal MHD is a good integral approximation outside the reconnection site. This result lends support for using the entropy-conserving MHD approach not only before and after reconnection but even as a constraint connecting the two phases.
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