Yu. E. Litvinenko

Particle acceleration in reconnecting current sheets

We study motions of charged particles in reconnecting current sheets (CS) which have both transverse (perpendicular to the current sheet plane) and longitudinal (parallel to the electric current inside the sheet) components of the magnetic field. Such CS, called non-neutral, are formed in regions of magnetic field line reconnection in the solar atmosphere. We develop an analytical technique which allows us to reproduce previous results concerning the influence of transverse fields on particle motion and acceleration. This technique also allows us to evaluate the effect of the longitudinal field. The latter increases considerably the efficiency of particle acceleration in CS. The energizing of electrons during the main phase of solar flares can be interpreted as their acceleration in non-neutral CS.

Evidence for prolonged acceleration based on a detailed analysis of the long-duration solar gamma-ray flare of June 15, 1991

Gamma-ray emission extending to energies greater than 2 GeV and lasting at least for two hours as well as 0.8–8.1 MeV nuclear line emission lasting 40 min were observed with very sensitive telescopes aboard the GAMMA and CGRO satellites for the well-developed post-flare loop formation phase of the 3B/X12 flare on June 15, 1991. We undertook an analysis of optical, radio, cosmic-ray, and other data in order to identify the origin of the energetic particles producing these unusual gamma-ray emissions. The analysis yields evidence that the gamma-rays and other emissions, observed well after the impulsive phase of the flare, appear to be initiated by prolonged nonstationary particle acceleration directly during the late phase of the flare rather than by a long-term trapping of energetic electrons and protons accelerated at the onset of the flare. We argue that such an acceleration, including the acceleration of protons up to GeV energies, can be caused by a prolonged post-eruptive energy release following a coronal mass ejection (CME), when the magnetic field above the active region, strongly disturbed by the CME eruption, relaxes to its initial state through magnetic reconnection in the coronal vertical current sheet.

NONTHERMAL ELECTRONS IN THE THICK-TARGET REVERSE-CURRENT MODEL FOR HARD X-RAY BREMSSTRAHLUNG

The behaviour of the accelerated electrons escaping from a high-temperature source of primary energy in a solar flare is investigated. The direct current of fast electrons is supposed to be balanced by the reverse current of thermal electrons in the ambient colder plasma inside flare loops. The self-consistent kinetic problem is formulated; and the reverse-current electric field and the fast electron distribution function are found from its solution. The X-ray bremsstrahlung polarization is then calculated from the distribution function. The difference of results from those in the case of thermal runaway electrons (Diakonov and Somov, 1988) is discussed. The solutions with and without account of the affect of a reverse-current electric field are also compared.

Relativistic acceleration of protons in reconnecting current sheets of solar flares

Acceleration of protons in a reconnecting current sheet (RCS), which forms as a consequence of filament eruption in the corona, is considered as a possible mechanism of generation of the relativistic particles during the late phase of solar flares. In order to explain the acceleration of protons and heavier ions up to several GeV in a time of < 0.1 s, the transverse electric field outside the RCS must be taken into account. Physically, this field is always present as a consequence of electric charge separation owing to the difference in the electron and proton masses. The new effect demonstrated in this paper is that the transverse electric field efficiently ‘locks’ nonthermal ions in the RCS, thus allowing their acceleration by the direct electric field in the RCS. The mechanism considered may be useful in construction of a model for generation of relativistic ions in large gamma-ray/proton flares.

Magnetic reconnection in the temperature minimum region and prominence formation

Magnetic reconnection at the photospheric boundary is an essential part of some theories for prominence formation. We consider a simple model for reconnection in this region. Parameters of the reconnecting current sheet are expressed in terms of the concentration and temperature of the outside dense and cold plasma, magnetic field intensity, and velocity of convective flows at the photosphere. The reconnection process is shown to be most efficient in a layer several hundred kilometers thick coinciding with the temperature minimum region of the solar atmosphere. The calculated upward flux of matter through the current sheet (≈ 1011–1012 g s−1) is amply sufficient for prominence formation in the upper chromosphere or lower corona.

Magnetic Reconnection and Particle Acceleration in the Solar Corona

It was believed for a long time and now it is confirmed by Yohkoh observations that magnetic reconnection (i.e., an interaction of magnetic fluxes having pair of antiparallel components) plays a key role in the global dynamics of coronal plasma as well as in conversion of the so-called “free magnetic energy” to other forms: thermal and supra-thermal energy of coronal plasma, hard electromagnetic radiation, accelerated particles. Some new results concerning the theory of electron acceleration in solar flares are presented for the case of high-temperature turbulent current sheets in the solar corona.

An explanation for the flare frequency - energy dependence

The reconnecting current sheet model for energy accumulation and release during solar flares results in the flare frequency distribution that is a power-law function of total flare energy, with the index 7/4 for sufficiently large energies. The distribution is predicted to be much steeper in the low-energy region, implying the significance of microand nanoflares for coronal heating.

Regular versus chaotic motion of charged particles in non-neutral current sheets

Charged particle motion in reconnecting current sheets (CS) can be both regular and chaotic, depending on the values of transverse (perpendicular to the CS plane) and longitudinal (parallel to the electric field inside the CS) components of the magnetic field. The non-zero transverse field gives rise to chaos, whereas a sufficiently large longitudinal field tends to stabilize the motion. The longitudinal field change in time may be the cause of different regimes of electron acceleration in solar flares and magnetospheric substorms.