We present a model of collapsing magnetic traps in magnetic field configurations associated with solar flares. The model is based on a kinematic description of the magnetic field obeying the ideal Ohm's law. The dynamic evolution of the models is given in terms of a time-dependent transformation from Eulerian to Lagrangian coordinates. The transformation can be used to determine the corresponding flow field, the magnetic field, and the electric field from given initial conditions. The theory is formulated for translationally invariant situations, but a fully threedimensional version is also given. The effect of various transformations and initial conditions is discussed with a view to calculating charged particle orbits in the given electromagnetic fields.
We present the results of charged particle orbit calculations in prescribed electric and magnetic fields motivated by magnetic reconnection models. Due to the presence of a strong guide field, the particle orbits can be calculated in the guiding centre approximation. The electromagnetic fields are chosen to resemble a reconnecting magnetic current sheet with a localised reconnection region. An initially Maxwellian distribution function in the inflow region can develop a beam-like component in the outflow region. Possible implications of these findings for acceleration scenarios in solar flares will be discussed.
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