Physical Sciences and Mathematics Commons^™

Collisionless Reconnection: Magnetic Field Line Interaction, R A. Treumann, W Baumjohann, W. D. Gonzalez

Dartmouth Scholarship

Magneticfieldlinesarequantumobjectscarrying onequantum􏰃0=2πh ̄/eofmagneticfluxandhavefinite radius λm. Here we argue that they possess a very specific dynamicalinteraction.Parallelfieldlinesrejecteachother. When confined to a certain area they form two-dimensional lattices of hexagonal structure. We estimate the filling factor of such an area. Anti-parallel field lines, on the other hand, at- tract each other. We identify the physical mechanism as being due to the action of the gauge potential field, which we de- termine quantum mechanically for two parallel and two anti- parallel field lines. The distortion of the quantum electrody- namic vacuum causes a cloud of virtual pairs. We calculate the virtual pair production rate …