Electron Acceleration at Reconnecting X-Points in Solar Flares

The acceleration of electrons in solar flares is simulated using an extended version of a full orbit test-particle code previously used to compute losses of fusion alpha particles from tokamaks and to study flare proton acceleration. The magnetic and electric fields in the model are obtained from solutions of the linearized MHD equations for reconnecting modes at a magnetic X-point with zero equilibrium current. The magnetic field is assumed to have a small finite component perpendicular to the plane of the X-point. The version of the code used in the simulations is fully relativistic and includes Coulomb collisions. It is demonstrated that electrons cross the system boundary at distinct footpoints with the relative numbers and energy distribution at each footpoint sensitive to the longitudinal magnetic field component and collision time. These results are discussed in the context of recent flare observations showing asymmetric hard X-ray emission from the chromospheric footpoints of magnetic loops.

[1]  T. Speiser Particle trajectories in model current sheets: 1. Analytical solutions , 1965 .

[2]  P. Sturrock Model of the High-Energy Phase of Solar Flares , 1966, Nature.

[3]  Gordon J. Hurford,et al.  First Gamma-Ray Images of a Solar Flare , 2003 .

[4]  D. Bruhwiler,et al.  Energy spectrum of particles accelerated near a magnetic x line , 1992 .

[5]  O. Ishihara,et al.  Quasilinear mechanism of high-energy ion-tail formation in ion-acoustic instability , 1981 .

[6]  Mykola Gordovskyy,et al.  Particle Acceleration Asymmetry in a Reconnecting Nonneutral Current Sheet , 2004 .

[7]  A. Wilson,et al.  Solar variability: from core to outer frontiers , 2002 .

[8]  M. Freeman,et al.  Anomalous resistivity in non‐Maxwellian plasmas , 2003 .

[9]  William M. MacDonald,et al.  Fokker-Planck Equation for an Inverse-Square Force , 1957 .

[10]  Gordon J. Hurford,et al.  Hard X-ray Microflares down to 3 keV , 2002 .

[11]  Petrus C. H. Martens,et al.  A circuit model for filament eruptions and two-ribbon flares , 1989 .

[12]  Gordon D. Holman,et al.  Electron Bremsstrahlung Hard X-Ray Spectra, Electron Distributions, and Energetics in the 2002 July 23 Solar Flare , 2003 .

[13]  Thomas R. Metcalf,et al.  Energy dependence of electron trapping in a solar flare , 2002 .

[14]  B. Somov,et al.  Particle acceleration in reconnecting current sheets , 1993 .

[15]  Eric Ronald Priest,et al.  Magnetic Reconnection: MHD Theory and Applications , 2000 .

[16]  K. McClements,et al.  Electron Inertial Effects on Rapid Energy Redistribution at Magnetic X-Points , 2004, astro-ph/0401573.

[17]  J. Sakai,et al.  Proton Acceleration near an X-Type Magnetic Reconnection Region , 1998 .

[18]  John C. Brown,et al.  The deduction of energy spectra of non-thermal electrons in flares from the observed dynamic spectra of hard X-ray bursts , 1971 .

[19]  J. Brown,et al.  Regularized Electron Flux Spectra in the 2002 July 23 Solar Flare , 2003 .

[20]  I. Craig,et al.  Magnetic Reconnection at an X-type Neutral Point , 1991 .

[21]  Y. Litvinenko Particle Acceleration in Reconnecting Current Sheets in Impulsive Electron-Rich Solar Flares , 2000 .

[22]  S. Syrovatskii Pinch Sheets and Reconnection in Astrophysics , 1981 .

[23]  A. Hood,et al.  MHD wave propagation in the neighbourhood of a two-dimensional null point , 2004, 0712.1792.

[24]  R. Lin,et al.  Solar Hard X-Ray Bursts and Electron Acceleration Down to 8 keV , 2001 .

[25]  P. Browning,et al.  Particle acceleration at an X‐type reconnection site with a parallel magnetic field , 2001 .

[26]  Markus J. Aschwanden,et al.  Flare Plasma Cooling from 30 MK down to 1 MK modeled from Yohkoh, GOES, and TRACE observations during the Bastille Day Event (14 July 2000) , 2001 .

[27]  L. Harra,et al.  The occurrence of single hard X-ray sources in solar flares , 2003 .